Geometry

Problem 4401

Identify the property: If $\angle Q \cong \angle S$ and $\angle S \cong \angle P$ , then $\angle Q \cong \angle P$ .

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Problem 4402

If $\angle A$ is supplementary to $\angle B$ and $\angle B=115^{\circ}$ , find $\angle A$ .

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Problem 4403

Calculate the distance between points A(-4,2) and B(2,6) using the formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

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Problem 4404

Find the dimensions of a rectangle with area $54 \mathrm{yd}^{2}$ , where length is $3 \mathrm{yd}$ more than double the width.

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Problem 4405

Find the slope of the line through points $(-1,3)$ and $(2,4)$ . State if the slope is undefined and describe the line's direction.

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Problem 4406

Find the dimensions of a rectangle with area $50 \mathrm{yd}^{2}$ and length $5 \mathrm{yd}$ less than three times the width.

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Problem 4407

Calculate the area and perimeter of a rectangle with length $\frac{7}{30}$ inch and width $\frac{7}{10}$ inch.

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Problem 4408

Find the missing side length in the second triangle given corresponding sides 66 and 154 from similar triangles.

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Problem 4409

Find the missing side length of two similar triangles with sides 36, 36, 18 and 24, 48.

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Problem 4410

Find the length and width of a field with a perimeter of 100 m, where length is $14 \mathrm{~m}$ more than width.

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Problem 4411

Calculate the interior angle sum of a 9-sided polygon. Round to the nearest tenth if needed.

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Problem 4412

The first side of a triangle is $8 \mathrm{~m}$ shorter than the second side. The third side is 4 times the first side. The perimeter is $26 \mathrm{~m}$ . Find the length of each side.

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Problem 4413

Calculate the interior angle sum of an 11-sided polygon using $(n-2) \times 180$ . Round to the nearest tenth.

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Problem 4414

Calculate the interior angle sum of an 8-sided polygon. Round to the nearest tenth if needed. Use the formula $S = (n-2) \times 180$ where $n = 8$ .

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Problem 4415

Find the function $(A \circ r)(t)$ if the radius $r(t)$ of ripples in a pond is known, where $A(r)=\pi r^{2}$ .

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Problem 4416

The perimeter of a triangle is $76 \mathrm{~cm}$ . If side $a$ is twice $b$ and $c$ is $1 \mathrm{~cm}$ longer than $a$ , find the lengths of $a$ , $b$ , and $c$ .

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Problem 4417

Find the side lengths of a right triangle where the shorter leg is $8 \mathrm{ft}$ shorter than the longer leg, and the hypotenuse is $8 \mathrm{ft}$ longer than the longer leg.

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Problem 4418

The perimeter of a triangle is 76 cm. Side a is twice side b, and side c is 1 cm longer than side a. Find the side lengths.

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Problem 4419

Determine the domain and range of the graph: Domain: $[-1, \infty]$ , Range: $[-1, \infty]$ . Use -oo for -∞ and oo for ∞.

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Problem 4420

The shorter leg is $8 \mathrm{ft}$ less than the longer leg, and the hypotenuse is $8 \mathrm{ft}$ more than the longer leg. Find the lengths.

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Problem 4421

Find the area of a triangular sail with a base of 4m and height of 3.7m using the formula $Area = \frac{1}{2} \times Base \times Height$ .

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Problem 4422

Find the lengths of sides a, b, and c of a polygon with a perimeter of $25 \mathrm{~m}$ , given specific relationships between sides.

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Problem 4423

Find the side lengths of a right triangle where the longer leg is $3 \mathrm{~m}$ longer than the shorter leg, and the hypotenuse is $6 \mathrm{~m}$ longer than the shorter leg.

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Problem 4424

Find the side lengths of a right triangle with hypotenuse $10 \mathrm{~cm}$ , where one leg is $2 \mathrm{~cm}$ shorter than the other.

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Problem 4425

Find the area inside the sidewalks given by $\frac{1}{2}(40)(30)+\frac{1}{2}(40)(20)$ . Show your work.

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Problem 4426

A right triangle has a hypotenuse of $10 \mathrm{~cm}$ . The shorter leg is $2 \mathrm{~cm}$ less than the longer leg. Find the sides.

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Problem 4427

Find the side lengths of a right triangle where the longer leg is $19 \mathrm{~cm}$ more than $5$ times the shorter leg and the hypotenuse is $20 \mathrm{~cm}$ more than $5$ times the shorter leg.

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Problem 4428

Prove that two triangles, $\Delta$ and $\Delta$ , have equal area.

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Problem 4429

Un triángulo rectángulo tiene un cateto más largo que el más corto en $4 \mathrm{~cm}$ y la hipotenusa es $8 \mathrm{~cm}$ más larga que el corto. Encuentra las longitudes de los lados. Longitud del cateto más corto $\mathbf{G} \| \mathrm{cm}$ .

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Problem 4430

An image is 1.5 inches wide and 3 inches tall; the actual book is 9 inches wide. What is the scale? How tall is the actual book?

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Problem 4431

Draw a Venn diagram for sets of triangles: equilateral $E$ , isosceles $I$ , right-angled $R$ . Describe their unions and intersections.

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Problem 4432

Find the mass of a butter cube with dimensions $10.0 \mathrm{~cm} \times 10.0 \mathrm{~cm} \times 10.0 \mathrm{~cm}$ and density $0.9 \mathrm{~g/cm^3}$ .

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Problem 4433

Polygon $A$ has sides $2.5$ , $2.5$ , $1.5$ , angles $53^\circ$ , $82^\circ$ . Polygon $B$ has one side $5$ .
a. Find the scale factor from $A$ to $B$ .
b. Calculate the unknown side lengths in $B$ .
c. Find the unknown angles in $A$ .

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Problem 4434

Calculate the central angle $\theta$ (in degrees) for a circle with radius 15 inches and arc length 10 inches. Round to the nearest hundredth.

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Problem 4435

a. Find the power for the surface area of a cube. b. Find the power for the volume of a cube. Surface area: $6s^2$ , Volume: $s^3$ .

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Problem 4436

Is Jackson correct to conclude that triangles are similar from $\frac{3}{6}=\frac{2}{4}$ ? Explain your reasoning.

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Problem 4437

Is this shape a square? Choose the correct reason: A. Perpendicular sides, equal length. B. Parallel sides, equal length. C. Opposite sides not parallel. D. Sides not congruent.

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Problem 4438

Check if the triangle with vertices B(-1,5), A(2,3), and C(0,0) is a right triangle using the distances.

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Problem 4439

Identify corresponding points and sides in two $H$ -shaped polygons. Find the scale factor for the smaller copy.

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Problem 4440

Calculate the arc length of a circle with radius 12 inches and central angle $\frac{3}{4} \pi$ radians. Round to two decimals.

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Problem 4441

Calculate the area of a parallelogram with base $3.5$ units and height $3$ units.

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Problem 4442

Calculate the total distance walked in two round trips around a path with two 300 m segments and an $80^{\circ}$ arc.

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Problem 4443

Find the model wingspan if the actual wingspan is 211 feet and the scale is 1 in: $40 \mathrm{ft}$ .

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Problem 4444

A house blueprint has a scale of 1 inch = 5 feet. If the family room is 4/4 inches long, what is its actual length?

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Problem 4445

The family room's length on a blueprint is $4/4$ inches. How long is it in feet using the scale of 1 inch $=5$ feet?

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Problem 4446

The Wills Tower is 1454 feet tall. If a model has a scale of 2 in $=45$ feet, how tall is the model?

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Problem 4447

What is the actual height of a library that is 12 inches tall in a drawing with a scale of 1/3 inch = 1 foot?

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Problem 4448

Find $x$ given $S U=60$ and the equation $(x-24)+(2x+20)=60$ . Also solve for other segments and angles.

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Problem 4449

A garden is 6 2/3 ft long and 2 2/3 ft wide. Each brick is 2/3 ft long. How many bricks does Juan need for the border?

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Problem 4450

Note: Figure not drawn to scale. In the figure, lines $m$ and $n$ are parallel. If $x=6 k+13$ and $y=8 k-29$ , what is the valu of $z$ ?

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Problem 4451

Ali sedang merenovasi rumahnya. la membeli 5 buah paralon berdiamater sama di sebuah toko bangunan. Paralon tersebut diangkut menggunakan mobil pick up. Agar menghemat tempat, paralon-paralon tersebut diikat menggunakan sebuah tali pada pangkal dan ujung paralon (seperti tampak pada gambar). Jika Panjang tali minimal yang diperlukan untuk mengikat 5 paralon tersebut $325,6 \mathrm{~cm}$ , maka panjang diameter tiap paralon adalah....

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Problem 4452

Hemisphere
7. Find the volume of the umbrella if its radius is 2.1 ft .
8. Find the volume of the umbrella if its diameter is 48 in .

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Problem 4453

Graph the line whose $x$ -intercept is -1 and whose $y$ -intercept is 3 .

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Problem 4454

Graph the solution to the following system of inequalities. $\begin{array}{l} y>5 x+4 \\ y \geq-2 x-7 \end{array}$

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Problem 4455

Learn with an sample warch a vides
Helen made a scale drawing of an office building. A desk, which is 6 feet long in real life, is 2 inches long in the drawing. What scale did Helen use for the drawing?
1 inch : $\square$ feet
Subrit

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Problem 4456

En la siguiente figura, $m \angle M K J=137^{\circ}$ . (a) Escribir una ecuación para hallar x. Asegurarse de utilizar un signo de "=" en su respuesta.
Ecuación: $\square$ (b) Resolver para $x$ . $\square$ $x=$

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Problem 4457

Question Watch Video
Given: $\overline{D E}$ bisects $\angle B D C$ and $\overline{D E}$ bisects $\angle B E C$ . Prove: $\angle A B E \cong \angle A C E$ .
Note: the segment $A E$ is a straight segment. Answer Attempt 1 out of 2

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Problem 4458

If $m \angle B=m \angle D=46$ , find $m \angle C$ so that quadrilateral $A B C D$ is a parallelogram. The diagram is not to scale.
Select one: a. 46 b. 92 C. 134 d. 268

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Problem 4459

Identify the intercepts for the graph below. Do NOT write as a point. $y$ intercept $=$ $\square$ $0^{\circ}$ $x$ intercept $=$ $\square$

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Problem 4460

Utilizar la figura para hallar el valor de $x$ . (a) Escribir una ecuación para hallar $x$ . Asegúrese de utilizar un signo de " $=$ " en la respuesta.
Ecuación: $\square$ $\square$ (b) Resolver para $x$ . $x=1$ $\square$

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Problem 4461

Figure 1 A sled of mass $m$ slides down a rough ramp with a constant speed $v_{0}$ . The angle between the ramp and the horizontal is $\theta$ , as shown in Figure 1. The ramp smoothly transitions to a horizontal surface. The coefficients of static and kinetic friction between the sled and the ramp are $\mu_{s}$ and $\mu_{b}$ respectively. The ramp and the horizontal surface are made of identical materials. (a) The dot in Figure 2 represents the sled when the sled is sliding down the ramp at a constant speed. Draw and label arrows that represent the forces (not components) that are exerted on the sled. Each force in your free-body diagram must be represented by a distinct arrow starting on, and pointing away from the dot.

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Problem 4462

En la figura, $m \angle 1=(8 x)^{\circ}$ y $m \angle 2=(x-9)^{\circ}$ . (a) Escribir una ecuación para hallar $x$ . Usar el signo de " = " en la respuesta.
Ecuación: $\square$ (b) Calcular la medida en grados de cada ángulo. $\begin{array}{l} m \angle 1=\square^{\circ} \\ m \angle 2=\square^{\circ} \end{array}$

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Problem 4463

5) A rung on a hamster wheel, with a radius of 25 cm , is travelling at a constant speed. It makes one complete revolution in 3 seconds. The axle of the hamster wheel is 27 cm above the ground. a) Sketch a graph of the height of the rung above the ground during two complete revolutions, beginning when the rung is closest to the ground.

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Problem 4464

Find the volume $V$ of the described solid $S$ . a right circular cone with height $4 h$ and base radius $2 r$

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Problem 4465

7. The area of the trapezoid is 40 square millimeters. a. Find two possible values for each base length. b. Is it possible for $b_{2}$ to equal 9 millimeters? Explain.

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Problem 4466

1. Détermine l'équation du lieu du point $P$ dont la somme des distances aux points $K(-11,4)$ et $L(7,4)$ est égale à 30 unités. $\qquad$

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Problem 4467

$\text{Let } R \text{ be the region bounded by the given curves } y = x^2 - 8x + 16, \, y = -2x + 4, \, x = 2, \text{ and } x = 4. \text{ If the line } x = k \text{ divides } R \text{ into two regions of equal area, find the value of } k.$

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Problem 4468

14. Through $(5,7)$ and $(-1,3)$

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Problem 4469

Irlangle - interior Angie
Find $x$ and the unknown interior angles. $\begin{array}{l} x=\square \\ <V= \end{array}$ $\square$ degrees $<W=$ $\square$ degrees

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Problem 4470

Two buildings in a sports complex are shaped and positioned like a portion of the branches of the hyperbola $625 x^{2}-225 y^{2}=140,625$ , where $x$ and $y$ are in meters. (a) How far apart are the buildings at their closest point? (b) Find the distance $d$ in the figure. (a) The two buildings are $\square$ meters apart at their closest point. (Type an integer or a decimal.) View an example Get more help Clear all

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Problem 4471

Find the equation for the parabola that has its focus at the $\left(\frac{5}{4},-3\right)$ and $h$ directrix at $x=\frac{35}{4}$ . equation is $(y+3)^{2}=30(x-9.375)$ Video 1 Video 2 Post to forum

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Problem 4472

What are the coordinates of $R^{\prime}$ for the dilation $D_{(0.5, P)}$ ( $\left.\square P Q R S\right)$ ? ( 3 pts.)
3 $\square$ 4 $\square$ )

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Problem 4473

Write the standard form of the equation of the circle with the given center and radius. Center $(-7,2), r=5$

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Problem 4474

4. How many amoll cubes, with a side length of $\frac{i}{3} \mathrm{~cm}$ , will fill the lorger recionguler prism betow?

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Problem 4475

1. A reflection over the $x$ -axis maps $\triangle A B C$ to $\triangle A^{\prime} B^{\prime} C^{\prime}$ . Do the preimage and image have the same size and shape? Explain. Find a congruence transformation that maps $\triangle R S T$ to $\triangle U V W$ . 2. 3.

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Problem 4476

Imagine you need to purchase a laptop bag for your 14 -inch laptop. The only problem is you don't have your laptop with you, and it sure would be frustrating to buy a bag only to realize that your laptop doesn't quite fit.
You recall laptop computers are measured according to the diagonals of their screens, and you remember your 14 -inch laptop has a screen that is 8 inches tall. How wide is the screen?
Exact Answer (written as a simpified radical): $\square$ in.
Approximate (decimal) Answer: $\square$ in. Give your approximate answer accurate to 2 decimal places.

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Problem 4477

Find the missing side.
Round to the nearest tent

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Problem 4478

Find the missing side.

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Problem 4479

Find the center of the ellipse defined by the equation $\frac{(x+1)^{2}}{9}+\frac{(y+3)^{2}}{16}=1$ . If necessary, round to the nearest tenth.
Answer Attempt 1 out of 2
Center: $\square$ , $\square$

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Problem 4480

A 10 foot ladder is placed against a building. If the base of the ladder is 7 feet away from the building, how far up the building will the ladder reach? Round the answer to the nearest tenth. $x=$ Question Help: Video

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Problem 4481

In $\triangle A B C, m \angle A=60^{\circ}, m \angle C=30^{\circ}$ , and $A B=6$ inches. What is the length of side $B C$ ? A. 5.19 inches B. 8.48 inches C. 10.39 inches D. 12 inches

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Problem 4482

Which of these is a point?
Choose 1 answer: (A) (B) $\longleftrightarrow$ (C) (D)
D

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Problem 4483

Solve the following SSA triangle. Indicate whether the given measurements result in no triangle, one triangle, or two $A=95^{\circ}, a=14, b=28$
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. There is only one possible solution for the triangle. The measurements fo itaining angles $\mathrm{B}, \mathrm{C}$ and side c a $\mathrm{B}=\square^{\circ}, \mathrm{C}=\square^{\circ}, \mathrm{c}=\square$ . $\square$ (Type an integer or a decimal rounded to the nearest tenth as needed.) B. There are two possible solutions for the triangle.
The measurements for the solution with the smaller side length c are as follows. $\mathrm{B}_{1}=\square^{\circ}, \mathrm{C}_{1}=\square^{\circ}, \mathrm{c}_{1}=\square$ $\square$ $\square$ The measurements for the solution with the larger side length c are as follows. $\mathrm{B}_{2}=\square^{\circ}, \mathrm{c}_{2}=\square^{\circ}, \mathrm{c}_{2}=\square$ $\square$ $\square$ $\square$ (Type an integer or a decimal rounded to the nearest tenth as needed.) C. There are no possible solutions for the triangle.

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Problem 4484

Given: $\overline{B E} \cong \overline{B D}$ and $\angle A B E \cong \angle C B D$ . Prove: $\triangle A B C$ is an isosceles triangle.
Step
1 try Type of Statement $\angle A B E \cong \angle C B D$ Given
Reason
Given

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Problem 4485

Given: $\overline{B E} \cong \overline{B D}$ and $\angle A B E \cong \angle C B D$ . Prove: $\triangle A B C$ is an isosceles triangle.
Step
1 try Type of Statement $\angle A B E \cong \angle C B D$ Given
Reason
Given

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Problem 4486

Points: 0 of 1
Graph the solution set of the system of linear inequalities. $\begin{array}{l} x+y \leq 5 \\ x-y \geq 6 \end{array}$
Use the graphing tool to graph the system. Graph the region that represents the correct solution only once. $\square$ Click to enlarge graph

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Problem 4487

Graph the solution of the system of inequalities. $\begin{array}{r} 2 x+4 y<8 \\ x-y<5 \end{array}$
Use the graphing tool on the right to graph the system of inequalities.

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Problem 4488

Complète le tableau suivant. \begin{tabular}{|c|l|l|l|l|} \hline Équation & Foyer(s) & Sommet(s) & Centre & \begin{tabular}{c} Équation des asymptotes \\ ou de la directrice \end{tabular} \\ \hline $\frac{(x+2)^{2}}{16}+\frac{(y+1)^{2}}{25}=1$ & & $(-2,-1)$ & & \\ \hline $(x-3)^{2}=8(y+4)$ & & $(3,-4)$ & & \\ \hline $\frac{x^{2}}{36}-\frac{(y-4)^{2}}{64}=1$ & & $(0,2)$ & & \\ \hline \end{tabular}

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Problem 4489

Enter your answers in the boxes. $m=\frac{\square-\square}{\square-\square}=\frac{\square}{\square}$

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Problem 4490

Prove: $\angle N \cong \angle L$ and $\angle M \cong \angle K$ Substitution Property of Equality Transitive Property of Congruence Subtraction Property of Equality Definition of paralel lines Definition of parallelogram

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Problem 4491

```latex Given: $(CE) \parallel (DF)$ and $(AF) \parallel (BF)$
Show that: $(AC) \mid (BD)$ ```

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Problem 4492

11 What is the perimeter of an equilateral triangle with a height of 6 feet? \begin{tabular}{|c|c|c|c|} \hline a & $2 \sqrt{3}$ & b & $6 \sqrt{3}$ \\ \hline c & $12 \sqrt{3}$ & d & $4 \sqrt{3}$ \\ \hline \end{tabular}

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Problem 4493

Given: $\overline{D E} \cong \overline{C E}$ and $\overline{F E}$ bisects $\angle D E C$ . Prove: $\overline{F A} \cong \overline{F B}$ .
Step Statement Reason
1 $\overline{D E} \cong \overline{C E}$ $\overline{F E}$ bisects $\angle D E C$ Given try Type of Statement

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Problem 4494

2 Дервен өнцегтийн өнцгүүд 1:5:2:4 харыцатай бол өнцег тус бүрийн хэмжәэг ar.

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Problem 4495

Given: $\overline{A D} \cong \overline{D C}$ and $\overline{A B} \cong \overline{B C}$ . Prove: $\overline{A C} \perp \overline{B D}$ .
Step
1 Statement $\overline{A D} \cong \overline{D C}$ $\overline{A B} \cong \overline{B C}$
Reason
Given try Type of Statement
Note: $\overline{A C}$ and $\overline{B D}$ are segments.

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Problem 4496

mylab.pearson.com/Student/PlayerHomework.aspx?homeworkId=685494365\&questionld=1\&flushed=false\&cld=8051021\&back=DoAssignments.aspx?view=h... Finish update ne MATH 1414 College Algebra - Oct. 15 through Dec. 13, 2024 Anthony Reyes Homework: 10.1 Homework Question 2, 10.1.3 HW Score: 6.25\%, 1 of 16 points Save estion list
Question 1
Question 2
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Question 7
Graph the ellipse and locate the foci. $\frac{x^{2}}{25}+\frac{y^{2}}{64}=1$
Choose the correct graph below. A. B. c. D.

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Problem 4497

1- $A B D$ is a triangle, $D \in B C$ , where $D C=5 \mathrm{~cm}, D B=15 \mathrm{~cm}$ if $A C=10 \mathrm{~cm}$ . prove that $A C$ is a tangent to the circle passes by $B, A, D$ .

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Problem 4498

47 Em relação a um referencial ortonormado Oxy considera a circunferência de centro em $A(0,3)$ e que passa em $B(3,-1)$ . 47.1. Seja $r$ a reta que é tangente à circunferência no ponto $B$ . Representa a reta $r$ por uma equação na forma reduzida. 47.2. Considera o conjunto dos pontos $P(x, y)$ que satisfazem a condição $\overrightarrow{A B} \cdot \overrightarrow{B P}=0$ . Representa essa condição por uma equação e resolve-a em ordem a $y$ . 140

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Problem 4499

2. A store is to be built within a rectangular lot. The lot measures 70 m by 45 m . A lawn of uniform width, equal to the area of the store, must surround the store and be within the boundaries of the lot. How wide is the strip of lawn, to the nearest tenth? ( 6 marks)

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Problem 4500

11 Pada gambar berikut titik P menunjukkan kawat berarus listrik yang arahnya keluar bidang gambar. 2 3 5 Kin 4 Atas Kanan Bawah Induksi magnet yang arahnya ke atas pada gambar adalah nomor.... A. 1 B. ABCD C. 2 12345 D. 4 E. 5

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1 ...42 43 44 45 46 47 48 ...61

Geometry

Problem 4401

Identify the property: If ∠Q≅∠S\angle Q \cong \angle S∠Q≅∠S and ∠S≅∠P\angle S \cong \angle P∠S≅∠P, then ∠Q≅∠P\angle Q \cong \angle P∠Q≅∠P.

Problem 4402

If ∠A\angle A∠A is supplementary to ∠B\angle B∠B and ∠B=115∘\angle B=115^{\circ}∠B=115∘, find ∠A\angle A∠A.

Problem 4403

Calculate the distance between points A(-4,2) and B(2,6) using the formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}d=(x2​−x1​)2+(y2​−y1​)2​

Problem 4404

Find the dimensions of a rectangle with area 54yd254 \mathrm{yd}^{2}54yd2, where length is 3yd3 \mathrm{yd}3yd more than double the width.

Problem 4405

Find the slope of the line through points (−1,3)(-1,3)(−1,3) and (2,4)(2,4)(2,4). State if the slope is undefined and describe the line's direction.

Problem 4406

Find the dimensions of a rectangle with area 50yd250 \mathrm{yd}^{2}50yd2 and length 5yd5 \mathrm{yd}5yd less than three times the width.

Problem 4407

Calculate the area and perimeter of a rectangle with length 730\frac{7}{30}307​ inch and width 710\frac{7}{10}107​ inch.

Problem 4408

Find the missing side length in the second triangle given corresponding sides 66 and 154 from similar triangles.

Problem 4409

Find the missing side length of two similar triangles with sides 36, 36, 18 and 24, 48.

Problem 4410

Find the length and width of a field with a perimeter of 100 m, where length is 14 m14 \mathrm{~m}14 m more than width.

Problem 4411

Calculate the interior angle sum of a 9-sided polygon. Round to the nearest tenth if needed.

Problem 4412

The first side of a triangle is 8 m8 \mathrm{~m}8 m shorter than the second side. The third side is 4 times the first side. The perimeter is 26 m26 \mathrm{~m}26 m. Find the length of each side.

Problem 4413

Calculate the interior angle sum of an 11-sided polygon using (n−2)×180(n-2) \times 180(n−2)×180. Round to the nearest tenth.

Problem 4414

Calculate the interior angle sum of an 8-sided polygon. Round to the nearest tenth if needed. Use the formula S=(n−2)×180S = (n-2) \times 180S=(n−2)×180 where n=8n = 8n=8.

Problem 4415

Find the function (A∘r)(t)(A \circ r)(t)(A∘r)(t) if the radius r(t)r(t)r(t) of ripples in a pond is known, where A(r)=πr2A(r)=\pi r^{2}A(r)=πr2.

Problem 4416

The perimeter of a triangle is 76 cm76 \mathrm{~cm}76 cm. If side aaa is twice bbb and ccc is 1 cm1 \mathrm{~cm}1 cm longer than aaa, find the lengths of aaa, bbb, and ccc.

Problem 4417

Find the side lengths of a right triangle where the shorter leg is 8ft8 \mathrm{ft}8ft shorter than the longer leg, and the hypotenuse is 8ft8 \mathrm{ft}8ft longer than the longer leg.

Problem 4418

The perimeter of a triangle is 76 cm. Side a is twice side b, and side c is 1 cm longer than side a. Find the side lengths.

Problem 4419

Determine the domain and range of the graph: Domain: [−1,∞][-1, \infty][−1,∞], Range: [−1,∞][-1, \infty][−1,∞]. Use -oo for -∞ and oo for ∞.

Problem 4420

The shorter leg is 8ft8 \mathrm{ft}8ft less than the longer leg, and the hypotenuse is 8ft8 \mathrm{ft}8ft more than the longer leg. Find the lengths.

Problem 4421

Find the area of a triangular sail with a base of 4m and height of 3.7m using the formula Area=12×Base×HeightArea = \frac{1}{2} \times Base \times HeightArea=21​×Base×Height.

Problem 4422

Find the lengths of sides a, b, and c of a polygon with a perimeter of 25 m25 \mathrm{~m}25 m, given specific relationships between sides.

Problem 4423

Find the side lengths of a right triangle where the longer leg is 3 m3 \mathrm{~m}3 m longer than the shorter leg, and the hypotenuse is 6 m6 \mathrm{~m}6 m longer than the shorter leg.

Problem 4424

Find the side lengths of a right triangle with hypotenuse 10 cm10 \mathrm{~cm}10 cm, where one leg is 2 cm2 \mathrm{~cm}2 cm shorter than the other.

Problem 4425

Find the area inside the sidewalks given by 12(40)(30)+12(40)(20)\frac{1}{2}(40)(30)+\frac{1}{2}(40)(20)21​(40)(30)+21​(40)(20). Show your work.

Problem 4426

A right triangle has a hypotenuse of 10 cm10 \mathrm{~cm}10 cm. The shorter leg is 2 cm2 \mathrm{~cm}2 cm less than the longer leg. Find the sides.

Problem 4427

Find the side lengths of a right triangle where the longer leg is 19 cm19 \mathrm{~cm}19 cm more than 555 times the shorter leg and the hypotenuse is 20 cm20 \mathrm{~cm}20 cm more than 555 times the shorter leg.

Problem 4428

Prove that two triangles, Δ\DeltaΔ and Δ\DeltaΔ, have equal area.

Problem 4429

Un triángulo rectángulo tiene un cateto más largo que el más corto en 4 cm4 \mathrm{~cm}4 cm y la hipotenusa es 8 cm8 \mathrm{~cm}8 cm más larga que el corto. Encuentra las longitudes de los lados. Longitud del cateto más corto G∥cm\mathbf{G} \| \mathrm{cm}G∥cm.

Problem 4430

An image is 1.5 inches wide and 3 inches tall; the actual book is 9 inches wide. What is the scale? How tall is the actual book?

Problem 4431

Draw a Venn diagram for sets of triangles: equilateral EEE, isosceles III, right-angled RRR. Describe their unions and intersections.

Problem 4432

Find the mass of a butter cube with dimensions 10.0 cm×10.0 cm×10.0 cm10.0 \mathrm{~cm} \times 10.0 \mathrm{~cm} \times 10.0 \mathrm{~cm}10.0 cm×10.0 cm×10.0 cm and density 0.9 g/cm30.9 \mathrm{~g/cm^3}0.9 g/cm3.

Problem 4433

Polygon AAA has sides 2.52.52.5, 2.52.52.5, 1.51.51.5, angles 53∘53^\circ53∘, 82∘82^\circ82∘. Polygon BBB has one side 555. a. Find the scale factor from AAA to BBB. b. Calculate the unknown side lengths in BBB. c. Find the unknown angles in AAA.

Problem 4434

Calculate the central angle θ\thetaθ (in degrees) for a circle with radius 15 inches and arc length 10 inches. Round to the nearest hundredth.

Problem 4435

a. Find the power for the surface area of a cube. b. Find the power for the volume of a cube. Surface area: 6s26s^26s2, Volume: s3s^3s3.

Problem 4436

Is Jackson correct to conclude that triangles are similar from 36=24\frac{3}{6}=\frac{2}{4}63​=42​? Explain your reasoning.

Problem 4437

Is this shape a square? Choose the correct reason: A. Perpendicular sides, equal length. B. Parallel sides, equal length. C. Opposite sides not parallel. D. Sides not congruent.

Problem 4438

Check if the triangle with vertices B(-1,5), A(2,3), and C(0,0) is a right triangle using the distances.

Problem 4439

Identify corresponding points and sides in two HHH-shaped polygons. Find the scale factor for the smaller copy.

Problem 4440

Identify the property: If $\angle Q \cong \angle S$ and $\angle S \cong \angle P$ , then $\angle Q \cong \angle P$ .

If $\angle A$ is supplementary to $\angle B$ and $\angle B=115^{\circ}$ , find $\angle A$ .

Calculate the distance between points A(-4,2) and B(2,6) using the formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Find the dimensions of a rectangle with area $54 \mathrm{yd}^{2}$ , where length is $3 \mathrm{yd}$ more than double the width.

Find the slope of the line through points $(-1,3)$ and $(2,4)$ . State if the slope is undefined and describe the line's direction.

Find the dimensions of a rectangle with area $50 \mathrm{yd}^{2}$ and length $5 \mathrm{yd}$ less than three times the width.

Calculate the area and perimeter of a rectangle with length $\frac{7}{30}$ inch and width $\frac{7}{10}$ inch.

Find the length and width of a field with a perimeter of 100 m, where length is $14 \mathrm{~m}$ more than width.

The first side of a triangle is $8 \mathrm{~m}$ shorter than the second side. The third side is 4 times the first side. The perimeter is $26 \mathrm{~m}$ . Find the length of each side.

Calculate the interior angle sum of an 11-sided polygon using $(n-2) \times 180$ . Round to the nearest tenth.

Calculate the interior angle sum of an 8-sided polygon. Round to the nearest tenth if needed. Use the formula $S = (n-2) \times 180$ where $n = 8$ .

Find the function $(A \circ r)(t)$ if the radius $r(t)$ of ripples in a pond is known, where $A(r)=\pi r^{2}$ .

The perimeter of a triangle is $76 \mathrm{~cm}$ . If side $a$ is twice $b$ and $c$ is $1 \mathrm{~cm}$ longer than $a$ , find the lengths of $a$ , $b$ , and $c$ .

Find the side lengths of a right triangle where the shorter leg is $8 \mathrm{ft}$ shorter than the longer leg, and the hypotenuse is $8 \mathrm{ft}$ longer than the longer leg.

Determine the domain and range of the graph: Domain: $[-1, \infty]$ , Range: $[-1, \infty]$ . Use -oo for -∞ and oo for ∞.

The shorter leg is $8 \mathrm{ft}$ less than the longer leg, and the hypotenuse is $8 \mathrm{ft}$ more than the longer leg. Find the lengths.

Find the area of a triangular sail with a base of 4m and height of 3.7m using the formula $Area = \frac{1}{2} \times Base \times Height$ .

Find the lengths of sides a, b, and c of a polygon with a perimeter of $25 \mathrm{~m}$ , given specific relationships between sides.

Find the side lengths of a right triangle where the longer leg is $3 \mathrm{~m}$ longer than the shorter leg, and the hypotenuse is $6 \mathrm{~m}$ longer than the shorter leg.

Find the side lengths of a right triangle with hypotenuse $10 \mathrm{~cm}$ , where one leg is $2 \mathrm{~cm}$ shorter than the other.

Find the area inside the sidewalks given by $\frac{1}{2}(40)(30)+\frac{1}{2}(40)(20)$ . Show your work.

A right triangle has a hypotenuse of $10 \mathrm{~cm}$ . The shorter leg is $2 \mathrm{~cm}$ less than the longer leg. Find the sides.

Find the side lengths of a right triangle where the longer leg is $19 \mathrm{~cm}$ more than $5$ times the shorter leg and the hypotenuse is $20 \mathrm{~cm}$ more than $5$ times the shorter leg.

Prove that two triangles, $\Delta$ and $\Delta$ , have equal area.

Un triángulo rectángulo tiene un cateto más largo que el más corto en $4 \mathrm{~cm}$ y la hipotenusa es $8 \mathrm{~cm}$ más larga que el corto. Encuentra las longitudes de los lados. Longitud del cateto más corto $\mathbf{G} \| \mathrm{cm}$ .

Draw a Venn diagram for sets of triangles: equilateral $E$ , isosceles $I$ , right-angled $R$ . Describe their unions and intersections.

Find the mass of a butter cube with dimensions $10.0 \mathrm{~cm} \times 10.0 \mathrm{~cm} \times 10.0 \mathrm{~cm}$ and density $0.9 \mathrm{~g/cm^3}$ .

Polygon $A$ has sides $2.5$ , $2.5$ , $1.5$ , angles $53^\circ$ , $82^\circ$ . Polygon $B$ has one side $5$ .
a. Find the scale factor from $A$ to $B$ .
b. Calculate the unknown side lengths in $B$ .
c. Find the unknown angles in $A$ .

Calculate the central angle $\theta$ (in degrees) for a circle with radius 15 inches and arc length 10 inches. Round to the nearest hundredth.

a. Find the power for the surface area of a cube. b. Find the power for the volume of a cube. Surface area: $6s^2$ , Volume: $s^3$ .

Is Jackson correct to conclude that triangles are similar from $\frac{3}{6}=\frac{2}{4}$ ? Explain your reasoning.

Identify corresponding points and sides in two $H$ -shaped polygons. Find the scale factor for the smaller copy.

Calculate the arc length of a circle with radius 12 inches and central angle $\frac{3}{4} \pi$ radians. Round to two decimals.

Calculate the area of a parallelogram with base $3.5$ units and height $3$ units.

Calculate the total distance walked in two round trips around a path with two 300 m segments and an $80^{\circ}$ arc.

Find the model wingspan if the actual wingspan is 211 feet and the scale is 1 in: $40 \mathrm{ft}$ .

The family room's length on a blueprint is $4/4$ inches. How long is it in feet using the scale of 1 inch $=5$ feet?

The Wills Tower is 1454 feet tall. If a model has a scale of 2 in $=45$ feet, how tall is the model?

Find $x$ given $S U=60$ and the equation $(x-24)+(2x+20)=60$ . Also solve for other segments and angles.

Note: Figure not drawn to scale. In the figure, lines $m$ and $n$ are parallel. If $x=6 k+13$ and $y=8 k-29$ , what is the valu of $z$ ?

Hemisphere
7. Find the volume of the umbrella if its radius is 2.1 ft .
8. Find the volume of the umbrella if its diameter is 48 in .

Graph the line whose $x$ -intercept is -1 and whose $y$ -intercept is 3 .

Graph the solution to the following system of inequalities. $\begin{array}{l} y>5 x+4 \\ y \geq-2 x-7 \end{array}$

Learn with an sample warch a vides
Helen made a scale drawing of an office building. A desk, which is 6 feet long in real life, is 2 inches long in the drawing. What scale did Helen use for the drawing?
1 inch : $\square$ feet
Subrit

En la siguiente figura, $m \angle M K J=137^{\circ}$ . (a) Escribir una ecuación para hallar x. Asegurarse de utilizar un signo de "=" en su respuesta.
Ecuación: $\square$ (b) Resolver para $x$ . $\square$ $x=$

Question Watch Video
Given: $\overline{D E}$ bisects $\angle B D C$ and $\overline{D E}$ bisects $\angle B E C$ . Prove: $\angle A B E \cong \angle A C E$ .
Note: the segment $A E$ is a straight segment. Answer Attempt 1 out of 2

If $m \angle B=m \angle D=46$ , find $m \angle C$ so that quadrilateral $A B C D$ is a parallelogram. The diagram is not to scale.
Select one: a. 46 b. 92 C. 134 d. 268

Identify the intercepts for the graph below. Do NOT write as a point. $y$ intercept $=$ $\square$ $0^{\circ}$ $x$ intercept $=$ $\square$

Utilizar la figura para hallar el valor de $x$ . (a) Escribir una ecuación para hallar $x$ . Asegúrese de utilizar un signo de " $=$ " en la respuesta.
Ecuación: $\square$ $\square$ (b) Resolver para $x$ . $x=1$ $\square$

Find the volume $V$ of the described solid $S$ . a right circular cone with height $4 h$ and base radius $2 r$

7. The area of the trapezoid is 40 square millimeters. a. Find two possible values for each base length. b. Is it possible for $b_{2}$ to equal 9 millimeters? Explain.

1. Détermine l'équation du lieu du point $P$ dont la somme des distances aux points $K(-11,4)$ et $L(7,4)$ est égale à 30 unités. $\qquad$

14. Through $(5,7)$ and $(-1,3)$

Irlangle - interior Angie
Find $x$ and the unknown interior angles. $\begin{array}{l} x=\square \\ <V= \end{array}$ $\square$ degrees $<W=$ $\square$ degrees

Find the equation for the parabola that has its focus at the $\left(\frac{5}{4},-3\right)$ and $h$ directrix at $x=\frac{35}{4}$ . equation is $(y+3)^{2}=30(x-9.375)$ Video 1 Video 2 Post to forum

What are the coordinates of $R^{\prime}$ for the dilation $D_{(0.5, P)}$ ( $\left.\square P Q R S\right)$ ? ( 3 pts.)
3 $\square$ 4 $\square$ )

Write the standard form of the equation of the circle with the given center and radius. Center $(-7,2), r=5$

4. How many amoll cubes, with a side length of $\frac{i}{3} \mathrm{~cm}$ , will fill the lorger recionguler prism betow?