Geometry

Problem 4301

5.6: Geometry \& Unit 5 ALEKS - Jorge Mandujano - Lea Measurement Word problem involving the volume of a rectangular prism Jorge
A concrete foundation for a building has the shape of a rectangular prism. The foundation is 15 yards long, 10 yards wide, and 3 yards high. If concrete costs $\$ 3$ Espantol per cubic yard, how much did the concrete cost for the foundation? \\square$

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Problem 4302

Given: $\overline{D E}$ bisects $\angle B E C$ and $\overline{B E} \cong C E$ Prove: $\triangle A D B \cong \triangle A D C$ .
Step
1
2
3
4
5
6
7
8
Type of Statement $\angle B A D \cong \angle C A D$
Corresponding Parts of Congrueı are Congruent (CPCTC) An angle bisector divides an angl congruent angles
Reflexive Property SAS $\square$ $\overline{A D} \cong \overline{A D}$ Reflexive Property SAS

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Problem 4303

Solve the triangles. For a triangle with length $a, b$ , and $c$ , with the angles opposite to them as $A, B$ and $C$ respectively: (A) Given: $a=8$ , angle $A=\frac{\pi}{6}, b=8 \sqrt{2}$ .
Use exact values for the angles B and C, and you could leave them in degree or in radian. For the length c, round your answers to 2 decimal places Hint: There are two possible triangles fulfilling the given values.

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Problem 4304

Which statement proves that parallelogram KLMN is a rhombus? The midpoint of both diagonals is $(4,4)$ . The length of $\overline{\mathrm{KM}}$ is $\sqrt{72}$ and the length of $\overline{\mathrm{NL}}$ is $\sqrt{8}$ . The slopes of $\overline{\mathrm{LM}}$ and $\overline{\mathrm{KN}}$ are both $\frac{1}{2}$ and $\mathrm{NK}=\mathrm{ML}$ $=\sqrt{20}$ . The slope of $\overline{\mathrm{KM}}$ is 1 and the slope of $\overline{\mathrm{NL}}$ is -1 .

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Problem 4305

Prove $\triangle A B C \cong \triangle E D C$ \begin{tabular}{|l|l|} \hline STATEMENTS & REASONS \\ \hline C is the midpoint of $\overline{A E}$ and $\overline{B D}$ . & Given \\ \hline & \\ \hline & \\ \hline & Definition of midpoint \\ \hline & \\ \hline & \\ \hline \end{tabular} $\overline{A C} \cong \overline{C D}, \overline{B C} \cong \overline{C E} \quad:: \overline{A C} \cong \overline{E C}, \overline{B C} \cong \overline{D C}$ $\overline{A C} \cong \overline{B C}, \overline{D C} \cong \overline{E C}$ $\angle A C B \cong \angle E C D$ $\angle A B C \cong \angle C D E$ $\angle B A C \cong \angle C E D$ $\triangle A B C \cong \triangle E D C$ $\triangle A B C \cong \triangle C E D$ $\triangle B A C \cong \triangle D C E$ Vertical Angles Congruence Theorem Alternate Interior Angles Theorem SAS Congruence Theorem

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Problem 4306

X 25 yd X = 7. १ 12 yd 15 yd

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Problem 4307

vs Similarity
Question Show Examples
Triangle HIJ is dilated by a scale factor of $\frac{2}{3}$ to form triangle H'I'J'. What is the measure of side I'J'? Answer Attempt 1 out of 3

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Problem 4308

Question Watch Video
Find the perimeter of $\triangle P Q R$ . Round your answer to the nearest tenth if necessary. Figures are necessarily drawn to scale.

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Problem 4309

art 2 of 2 In ADEF, C is the centroid. If DM 9, find DC and CM DC= 6 units CM units E L M C D N

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Problem 4310

BB SIS FHS SCC realize GEOMETRY-PAYER (LMS) 5-3: Medians and Altitudes (LMS graded) Part 1 of 3 Consider the triangle shown here. a. Find the coordinates of M, the midpoint of BC. b. Find the length of median AM. c. Find the coordinates of the centroid P. a. The coordinates of M are (Type an ordered pair.) L √i S S. (1,1) More 12- 6- A13 B(9.4) M (5.2) All BOOKMarks 0- 6 12 x

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Problem 4311

Las medianas del $\triangle D E F$ son $\overline{D K}, \overline{E L}$ y $\overline{F J}$ . Se encuentran en un punto único $M$ . (En otras palabras, $M$ es el baricentro del $\triangle D E F$ ). Suponer que $M L=9, M J=8$ y $D K=24$ . Hallar las longitudes siguientes. Observar que la figura no está trazada a escala. $\begin{array}{c} F J= \\ D M= \\ E M= \end{array}$

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Problem 4312

Exit Ticket 8-3
Find the distance between points $(3,5)$ and $(4,6)$ to the nearest tenth. 2 3.2 1.4 2.8

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Problem 4313

An objective function and a system of linear inequalities representing constraints are given. Complete parts a. through c.
Objective Function $z=3 x-2 y$ Constraints $\left\{\begin{array}{l} 3 \leq x \leq 7 \\ y \geq 2 \\ x-y \geq-4 \end{array}\right.$ b. Find the value of the objective function at each corner of the graphed region. $\square$ (Use a comma to separate answers as needed.)

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Problem 4314

If a ball travels around a circle of radius 4 m in 1.5 minutes, what is the angular spee of the ball? a) $\frac{\pi}{45}$ radians $/ \mathrm{s}$ b) $\frac{2 \pi}{45}$ radians $/ \mathrm{s}$ c) $\frac{\pi}{30}$ radians $/ \mathrm{s}$ d) $\frac{2 \pi}{1.5}$ radians $/ \mathrm{s}$

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Problem 4315

4. If the measure of an angle is $13^{\circ}$ , find the measure of its supplement.

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Problem 4316

Question Find the missing side length. Then find the area.

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Problem 4317

$y \leq-x^{2}-5$

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Problem 4318

Question 5 10 pts
The directrix of the parabola $y=\frac{1}{12} x^{2}-6$ is $y=l$ . What is the value of $l$ ? $\square$

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Problem 4319

If the coefficient $a$ in the general quadratic equation is equal to $\frac{1}{48}$ , what is the focal length for the parabola, $c^{\prime}$ , equal to? 12 1 $\frac{1}{48}$ 48 $\frac{1}{12}$ 4 $\frac{1}{24}$

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Problem 4320

$\overleftrightarrow{C D}$ is the bisector of $\angle C$ . Construct the incenter of $\triangle A B C$ .
Click on an object to delete it.

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Problem 4321

Diketahui pada lingkaran $O$ terdapat titik-titik $A_{,} B_{1}$ dan $C$ . Jika besar $\angle A B C=34^{\circ}$ , berapa besar $\angle A O C$ ?
Pilih Salah Satu Jawaban (A) $58^{\circ}$
B $29^{\circ}$ (C) $68^{\circ}$ (D) $17^{\circ}$ (E) $72^{\circ}$

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Problem 4322

Find the area of the following region. The region common to the circles $r=-10 \cos \theta$ and $r=5$ .

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Problem 4323

How many yards do you walk each camel daily if the arena is 50 yards long and 35 yards wide, walked twice? A. 70 yards B. 140 yards C. 170 yards D. 340 yards E. 3,570 yards

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Problem 4324

Find $x$ in a right triangle with sides 10 and 11 using the Pythagorean theorem.

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Problem 4325

Calculate the hypotenuse of a right triangle with sides 8 and 10. Round your answer to 2 decimal places.

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Problem 4326

In a right triangle with sides 7 and 16, calculate the length of $x$ . $x=$

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Problem 4327

Find 'x' and the lengths of sides 'ab', 'bc', 'ac' given $AC=3x^2$ , $AB=4x^2-10$ , $BC=13x-20$ .

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Problem 4328

How far does a catcher throw from home plate to second base in a 60-foot diamond? Use the distance formula: $d = \sqrt{(60^2 + 60^2)}$ .

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Problem 4329

Graph the equation $-2x + 2y = -4$ using its intercepts.

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Problem 4330

Identify the term for a statement with a hypothesis and conclusion that must be proven: definition, diagram, postulate, or theorem?

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Problem 4331

Calculate the perimeter of a triangle with sides $-x^2 + 9$ , $8x + 3$ , and $2x^2 + 4$ inches.

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Problem 4332

Find the value(s) of $h$ such that the vector $b=\left[\begin{array}{l}5 \\ 3 \\ h\end{array}\right]$ lies in the plane spanned by $a_{1}=\left[\begin{array}{r}1 \\ 3 \\ -1\end{array}\right]$ and $a_{2}=\left[\begin{array}{r}-5 \\ -11 \\ 2\end{array}\right]$ . The value(s) of $h$ is(are) $\square$ .

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Problem 4333

Graph the line represented by the equation $x=-2$ .

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Problem 4334

Compare the perimeters of a pentagon with sides of 6 inches and a hexagon with sides of 5 inches. Show your work.

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Problem 4335

Find the map length for $43 \mathrm{mi}$ if the scale is $1 \mathrm{in} : 35 \mathrm{mi}$ .

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Problem 4336

Solve $x^{2}+y^{2}=81$ for $y$ . Find the positive and negative functions: $y_{1}=\square$ , $y_{2}=\square$ .

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Problem 4337

Find the center of the circle with diameter endpoints $(-8,2)$ and $(10,9)$ .

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Problem 4338

Find the slope between the points $(3,5)$ and $(-7,-10)$ .

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Problem 4339

Calculate the distance between the points $(-5,2)$ and $(3,-4)$ .

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Problem 4340

Calculate the distance between the points $(2,5)$ and $(-2,-1)$ .

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Problem 4341

Find the center of the circle with diameter endpoints $(-9,7)$ and $(7,8)$ .

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Problem 4342

Find point $B$ if the midpoint of $AB$ is $(1,-5)$ and $A=(6,2)$ . What are the coordinates of $B$ ?

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Problem 4343

Alicia has 32 inches of trim for a square photo with an area of 60 square inches. Is this enough for all sides?

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Problem 4344

A man is $2 \mathrm{~cm}$ tall in a photo and $1.8 \mathrm{~m}$ tall in reality. Find the scale factor.

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Problem 4345

Find the length of a path in a parallelogram area of $54 \mathrm{~km}^{2}$ , where $A = b h$ and $54 = 9 h$ .

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Problem 4346

Estimate values for the function $f(x, y)$ based on given level curves for $c=-2,0,2$ .
(i) (a) Estimate $f(-1,1)$ . (b) Estimate $f(2,1)$ . (c) Estimate $f(3,-2.5)$ .

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Problem 4347

If two lines have slopes that are negative reciprocals, are they perpendicular? A. True B. False

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Problem 4348

Find the points where $f(x, y)$ reaches its maximum value based on the level curves for $c=-2, 0, 2, 4, 6$ .

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Problem 4349

If line $s$ has a slope of 5, what is the slope of the perpendicular line $t$ ? A. $-\frac{1}{5}$ B. $\frac{1}{5}$ C. -5 D. 5

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Problem 4350

If lines $m$ and $p$ are parallel and the slope of $m$ is $\frac{1}{25}$ , what is the slope of $p$ ? A. -25 B. $-\frac{1}{25}$ C. $\frac{1}{25}$ D. 25

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Problem 4351

Find the horizontal distance a jet climbs with slope $m=3/8$ to reach $12,000$ ft altitude.

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Problem 4352

Find the area of the shaded region between two rectangles: one is $10 \times 12$ and the other is $6 \times 9$ .

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Problem 4353

Graph the parabola $y=(x+4)^{2}+2$ . Plot the vertex and two points on each side of it.

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Problem 4354

Find two points on $\overline{AB}$ that split it into three equal parts, where $A(0,0)$ and $B(9,6)$ . Explain your method.

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Problem 4355

Find points that divide a segment into four equal parts.

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Problem 4356

Find the missing coordinate $x$ for the point $\left(x, \frac{2}{3}\right)$ on the unit circle in quadrant II.

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Problem 4357

Find the missing coordinate $y$ for the point $\left(-\frac{1}{4}, y\right)$ on the unit circle in quadrant III.

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Problem 4358

Find the missing coordinate $x$ for the point $\left(x,-\frac{1}{5}\right)$ on the unit circle in quadrant IV.

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Problem 4359

Identify the false statement about the unit circle: A. $x^{2}+y^{2}=1$ ; B. radius 1 at origin; C. infinite integer points; D. $(a, b)$ if $a^{2}+b^{2}=1$ .

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Problem 4360

Which statement about a $\frac{\pi}{4}, \frac{\pi}{4}, \frac{\pi}{2}$ triangle with hypotenuse $\sqrt{2}$ is true?

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Problem 4361

Find the midpoint of the segment with endpoints $E(2.5,-7)$ and $F(-6.2,-3.8)$ .

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Problem 4362

Find the midpoint of points C(-2,5) and D(8,-12).

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Problem 4363

Find the length of each segment when a circle with radius 8 cm is divided into 16 equal parts.

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Problem 4364

Find the area of a circle inscribing an 18-inch by 24-inch rectangle in square inches. Options: (A) $5 \pi$ , (B) $16 \pi$ , (C) $30 \pi$ , (D) $225 \pi$ .

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Problem 4365

A circular cake weighs 12 pounds. If wedges with a $60^{\circ}$ angle are cut, what is the weight of each wedge?

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Problem 4366

An arc is $\frac{1}{6}$ of a circle's circumference and measures $3 \pi$ inches. Find the circle's area in square inches.

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Problem 4367

Find the length of arc UV in a circle sector with area $81 \pi$ . Choices: (A) $6 \pi$ , (B) $9 \pi$ , (C) $27 \pi$ , (D) $54 \pi$ , (E) $108 \pi$ .

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Problem 4368

Find the value of $y$ if $H$ is the midpoint of $\overline{FG}$ with $G(4x, 6y+6)$ , $F(2y+2,2x+4)$ , and $H(4,15)$ .

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Problem 4369

Find the midpoint of the segment $AB$ with points $A(-5,-4)$ and $B(-3,3)$ .

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Problem 4370

Find the value of $k$ if the areas of rectangles $3k \times 3$ and $(k+3) \times 6$ are equal.

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Problem 4371

Find the midpoint of the segment with endpoints A(1.8,-4.3) and B(-5.6,-6.5). Options: (-3.8,-10.8), (-1.9,-5.4), (3.7,5.4), (7.4,10.8).

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Problem 4372

Graph the equation $x + 2y = 3$ using the points: (0, $\frac{3}{2}$ ), (3, 0), (8, 1).

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Problem 4373

Find $m \angle A B E$ given $m \angle A B E=(2 n+7)^{\circ}$ and $m \angle E B F=(4 n-13)^{\circ}$ . Also, find $m \angle E B H$ if $m \angle E B H=(6 x+12)^{\circ}$ and $m \angle H B C=(8 x-10)^{\circ}$ .

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Problem 4374

Find $m \angle F L H$ given $m \angle F L G=(14 x+5)^{\circ}$ and $m \angle H L G=(17 x-1)^{\circ}$ .

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Problem 4375

If $\mathrm{m} \angle \mathrm{ABC}=180^{\circ}$ , then $\angle ABC$ is: Acute, A) Obtuse.

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Problem 4376

Solve for $x$ if $\angle D$ and $\angle E$ are supplementary: $m \angle D = (4x + 40)^\circ$ , $m \angle E = (-2x + 30)^\circ$ .

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Problem 4377

Find the distance $AB$ for points $A(-4,1)$ and $B(3,-1)$ using $d=\sqrt{(-4-3)^{2}+(1+1)^{2}}$ . Then find $EF$ for $E(-7,-2)$ and $F(11,3)$ .

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Problem 4378

After securing the string at point A and setting its length over half of $AB$ , what should you do next?

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Problem 4379

Find the side lengths of a triangle with a perimeter of 90 cm and sides in the ratio $3:4:5$ . Choices?

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Problem 4380

Find the midpoint of line segment AB where A is (-7,4) and B is (3,-4).

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Problem 4381

Find the new coordinates of point $N$ after dilating triangle $M N O$ by a factor of 3 from the origin, given $N(4,6)$ .

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Problem 4382

Find the equation of a circle with center at the origin and radius $\frac{1}{2}$ . Options: A. $x^{2}+y^{2}=\frac{1}{4}$ B. $x^{2}+y^{2}=\frac{1}{2}$ C. $x^{2}+y^{2}=1$ D. $x^{2}+y^{2}=2$

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Problem 4383

Find the other endpoint of a segment with one endpoint at $(1,3)$ and midpoint at $(3,5)$ .

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Problem 4384

Adam's pool has a perimeter $\leq$ 120 ft. If length = 22 ft, find the width using the inequality for perimeter.

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Problem 4385

Find $x$ given that $AC = 3x + 3$ , $AB = -1 + 2x$ , and $BC = 11$ with points $A$ , $B$ , and $C$ collinear.

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Problem 4386

Find the volume $V$ of a prism with length 6 ft, width 4 ft, and height 1 ft using $V=\ell w h$ . Choose: (A) 10, (B) 11, (C) 24.

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Problem 4387

Find the value of $a$ if the volume of a cylinder with radius 4 ft and height 30 ft is $a \pi$ cubic ft.

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Problem 4388

Find the value of $a$ if the volume $V$ of a cylinder with radius 4 ft and height 30 ft is $a \pi$ cubic feet.

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Problem 4389

Draw a line perpendicular to line $\ell$ at point $A$ . Identify line $\ell$ and point $A$ from the diagram.

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Problem 4390

Mike initially stands $50 \mathrm{~m}$ from a tree, covering it with his $7 \mathrm{~cm}$ finger. After moving back, his $6 \mathrm{~cm}$ finger covers the tree. How far did he move back?

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Problem 4391

Match each geometric figure with its definition:
i. $\dot{M}$
1. A line segment between two points
2. An infinite two-dimensional surface
3. A zero-dimensional point on a plane
4. A half-line extending infinitely in one direction
5. A one-dimensional line extending infinitely in both directions

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Problem 4392

Find the perimeter of parallelogram $ABCD$ where $BE = DE = 7$ in equilateral triangle $ABE$ .

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Problem 4393

Analyze the statements:
1. If a chord extends through the center of a circle, it is the diameter.
2. Chord AB extends through the center of circle O.
Which statements are true? Check all that apply: $\square$ Chord $AB$ is the diameter of circle O. All chords are diameters. Statement 1 is conditional. Statement 2 relates to Statement 1's hypothesis. Chord $AB$ is not the diameter of circle O.

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Problem 4394

Given two figures, solve these:
1) For a light ray from A to B through I, express optical path AIB using $n_1$ , $n_2$ , and coordinates. Show $n_1 \sin i_1 = n_2 \sin i_2$ .
2) For a glass slab of thickness $a$ and $n=1.33$ , show the exiting ray is parallel to the incident ray.

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Problem 4395

What is the ratio of the area of a smaller square to a larger square if the larger square's side is 3 times the smaller's?

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Problem 4396

Translate the point (1,-6) by 2 units right and 6 units down. Show your work.

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Problem 4397

Find the translation from point $Q(-9,-5)$ to $Q^{\prime}(-2,-8)$ as $\langle x, y \rangle$ .

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Problem 4398

Find the translation from point $Q(-9,-5)$ to $Q^{\prime}(-2,-8)$ as $\langle x, y\rangle$ . Show your work.

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Problem 4399

Sketch the graph of the function $f(x)=(x-4)^{2}-9$ . Find the axis of symmetry, domain, and range.

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Problem 4400

Find the translation from $Q(3,6)$ to $Q^{\prime}(9,3)$ as $\langle x, y\rangle$ . Show your work.

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Geometry

Problem 4301

Problem 4302

Problem 4303

Problem 4304

Problem 4305

Problem 4306

X 25 yd X = 7. १ 12 yd 15 yd

Problem 4307

vs SimilarityQuestion Show ExamplesTriangle HIJ is dilated by a scale factor of 23\frac{2}{3}32​ to form triangle H'I'J'. What is the measure of side I'J'? Answer Attempt 1 out of 3

Problem 4308

Question Watch VideoFind the perimeter of △PQR\triangle P Q R△PQR. Round your answer to the nearest tenth if necessary. Figures are necessarily drawn to scale.

Problem 4309

art 2 of 2 In ADEF, C is the centroid. If DM 9, find DC and CM DC= 6 units CM units E L M C D N

Problem 4310

Problem 4311

Problem 4312

Exit Ticket 8-3Find the distance between points (3,5)(3,5)(3,5) and (4,6)(4,6)(4,6) to the nearest tenth. 2 3.2 1.4 2.8

Problem 4313

Problem 4314

Problem 4315

4. If the measure of an angle is 13∘13^{\circ}13∘, find the measure of its supplement.

Problem 4316

Question Find the missing side length. Then find the area.

Problem 4317

y≤−x2−5y \leq-x^{2}-5y≤−x2−5

Problem 4318

Question 5 10 ptsThe directrix of the parabola y=112x2−6y=\frac{1}{12} x^{2}-6y=121​x2−6 is y=ly=ly=l. What is the value of lll ? □\square□

Problem 4319

If the coefficient aaa in the general quadratic equation is equal to 148\frac{1}{48}481​, what is the focal length for the parabola, c′c^{\prime}c′, equal to? 12 1 148\frac{1}{48}481​ 48 112\frac{1}{12}121​ 4 124\frac{1}{24}241​

Problem 4320

CDundefined\overleftrightarrow{C D}CD is the bisector of ∠C\angle C∠C. Construct the incenter of △ABC\triangle A B C△ABC.Click on an object to delete it.

Problem 4321

Problem 4322

Find the area of the following region. The region common to the circles r=−10cos⁡θr=-10 \cos \thetar=−10cosθ and r=5r=5r=5.

Problem 4323

How many yards do you walk each camel daily if the arena is 50 yards long and 35 yards wide, walked twice? A. 70 yards B. 140 yards C. 170 yards D. 340 yards E. 3,570 yards

Problem 4324

Find xxx in a right triangle with sides 10 and 11 using the Pythagorean theorem.

Problem 4325

Calculate the hypotenuse of a right triangle with sides 8 and 10. Round your answer to 2 decimal places.

Problem 4326

In a right triangle with sides 7 and 16, calculate the length of xxx. x=x= x=

Problem 4327

Find 'x' and the lengths of sides 'ab', 'bc', 'ac' given AC=3x2AC=3x^2AC=3x2, AB=4x2−10AB=4x^2-10AB=4x2−10, BC=13x−20BC=13x-20BC=13x−20.

Problem 4328

How far does a catcher throw from home plate to second base in a 60-foot diamond? Use the distance formula: d=(602+602)d = \sqrt{(60^2 + 60^2)}d=(602+602)​.

Problem 4329

Graph the equation −2x+2y=−4-2x + 2y = -4−2x+2y=−4 using its intercepts.

Problem 4330

Identify the term for a statement with a hypothesis and conclusion that must be proven: definition, diagram, postulate, or theorem?

Problem 4331

Calculate the perimeter of a triangle with sides −x2+9-x^2 + 9−x2+9, 8x+38x + 38x+3, and 2x2+42x^2 + 42x2+4 inches.

Problem 4332

Problem 4333

Graph the line represented by the equation x=−2x=-2x=−2.

Problem 4334

Compare the perimeters of a pentagon with sides of 6 inches and a hexagon with sides of 5 inches. Show your work.

Problem 4335

Find the map length for 43mi43 \mathrm{mi}43mi if the scale is 1in:35mi1 \mathrm{in} : 35 \mathrm{mi}1in:35mi.

Problem 4336

Solve x2+y2=81x^{2}+y^{2}=81x2+y2=81 for yyy. Find the positive and negative functions: y1=□y_{1}=\squarey1​=□, y2=□y_{2}=\squarey2​=□.

Problem 4337

Find the center of the circle with diameter endpoints (−8,2)(-8,2)(−8,2) and (10,9)(10,9)(10,9).

Problem 4338

Find the slope between the points (3,5)(3,5)(3,5) and (−7,−10)(-7,-10)(−7,−10).

Problem 4339

Calculate the distance between the points (−5,2)(-5,2)(−5,2) and (3,−4)(3,-4)(3,−4).

Problem 4340

Calculate the distance between the points (2,5)(2,5)(2,5) and (−2,−1)(-2,-1)(−2,−1).

Problem 4341

Find the center of the circle with diameter endpoints (−9,7)(-9,7)(−9,7) and (7,8)(7,8)(7,8).

Problem 4342

Find point BBB if the midpoint of ABABAB is (1,−5)(1,-5)(1,−5) and A=(6,2)A=(6,2)A=(6,2). What are the coordinates of BBB?

Problem 4343

Alicia has 32 inches of trim for a square photo with an area of 60 square inches. Is this enough for all sides?

Problem 4344

A man is 2 cm2 \mathrm{~cm}2 cm tall in a photo and 1.8 m1.8 \mathrm{~m}1.8 m tall in reality. Find the scale factor.

Problem 4345

Find the length of a path in a parallelogram area of 54 km254 \mathrm{~km}^{2}54 km2, where A=bhA = b hA=bh and 54=9h54 = 9 h54=9h.

vs Similarity
Question Show Examples
Triangle HIJ is dilated by a scale factor of $\frac{2}{3}$ to form triangle H'I'J'. What is the measure of side I'J'? Answer Attempt 1 out of 3

Question Watch Video
Find the perimeter of $\triangle P Q R$ . Round your answer to the nearest tenth if necessary. Figures are necessarily drawn to scale.

Exit Ticket 8-3
Find the distance between points $(3,5)$ and $(4,6)$ to the nearest tenth. 2 3.2 1.4 2.8

4. If the measure of an angle is $13^{\circ}$ , find the measure of its supplement.

$y \leq-x^{2}-5$

Question 5 10 pts
The directrix of the parabola $y=\frac{1}{12} x^{2}-6$ is $y=l$ . What is the value of $l$ ? $\square$

If the coefficient $a$ in the general quadratic equation is equal to $\frac{1}{48}$ , what is the focal length for the parabola, $c^{\prime}$ , equal to? 12 1 $\frac{1}{48}$ 48 $\frac{1}{12}$ 4 $\frac{1}{24}$

$\overleftrightarrow{C D}$ is the bisector of $\angle C$ . Construct the incenter of $\triangle A B C$ .
Click on an object to delete it.

Find the area of the following region. The region common to the circles $r=-10 \cos \theta$ and $r=5$ .

Find $x$ in a right triangle with sides 10 and 11 using the Pythagorean theorem.

In a right triangle with sides 7 and 16, calculate the length of $x$ . $x=$

Find 'x' and the lengths of sides 'ab', 'bc', 'ac' given $AC=3x^2$ , $AB=4x^2-10$ , $BC=13x-20$ .

How far does a catcher throw from home plate to second base in a 60-foot diamond? Use the distance formula: $d = \sqrt{(60^2 + 60^2)}$ .

Graph the equation $-2x + 2y = -4$ using its intercepts.

Calculate the perimeter of a triangle with sides $-x^2 + 9$ , $8x + 3$ , and $2x^2 + 4$ inches.

Graph the line represented by the equation $x=-2$ .

Find the map length for $43 \mathrm{mi}$ if the scale is $1 \mathrm{in} : 35 \mathrm{mi}$ .

Solve $x^{2}+y^{2}=81$ for $y$ . Find the positive and negative functions: $y_{1}=\square$ , $y_{2}=\square$ .

Find the center of the circle with diameter endpoints $(-8,2)$ and $(10,9)$ .

Find the slope between the points $(3,5)$ and $(-7,-10)$ .

Calculate the distance between the points $(-5,2)$ and $(3,-4)$ .

Calculate the distance between the points $(2,5)$ and $(-2,-1)$ .

Find the center of the circle with diameter endpoints $(-9,7)$ and $(7,8)$ .

Find point $B$ if the midpoint of $AB$ is $(1,-5)$ and $A=(6,2)$ . What are the coordinates of $B$ ?

A man is $2 \mathrm{~cm}$ tall in a photo and $1.8 \mathrm{~m}$ tall in reality. Find the scale factor.

Find the length of a path in a parallelogram area of $54 \mathrm{~km}^{2}$ , where $A = b h$ and $54 = 9 h$ .

Estimate values for the function $f(x, y)$ based on given level curves for $c=-2,0,2$ .
(i) (a) Estimate $f(-1,1)$ . (b) Estimate $f(2,1)$ . (c) Estimate $f(3,-2.5)$ .

Find the points where $f(x, y)$ reaches its maximum value based on the level curves for $c=-2, 0, 2, 4, 6$ .

If line $s$ has a slope of 5, what is the slope of the perpendicular line $t$ ? A. $-\frac{1}{5}$ B. $\frac{1}{5}$ C. -5 D. 5

If lines $m$ and $p$ are parallel and the slope of $m$ is $\frac{1}{25}$ , what is the slope of $p$ ? A. -25 B. $-\frac{1}{25}$ C. $\frac{1}{25}$ D. 25

Find the horizontal distance a jet climbs with slope $m=3/8$ to reach $12,000$ ft altitude.

Find the area of the shaded region between two rectangles: one is $10 \times 12$ and the other is $6 \times 9$ .

Graph the parabola $y=(x+4)^{2}+2$ . Plot the vertex and two points on each side of it.

Find two points on $\overline{AB}$ that split it into three equal parts, where $A(0,0)$ and $B(9,6)$ . Explain your method.

Find the missing coordinate $x$ for the point $\left(x, \frac{2}{3}\right)$ on the unit circle in quadrant II.

Find the missing coordinate $y$ for the point $\left(-\frac{1}{4}, y\right)$ on the unit circle in quadrant III.

Find the missing coordinate $x$ for the point $\left(x,-\frac{1}{5}\right)$ on the unit circle in quadrant IV.

Identify the false statement about the unit circle: A. $x^{2}+y^{2}=1$ ; B. radius 1 at origin; C. infinite integer points; D. $(a, b)$ if $a^{2}+b^{2}=1$ .

Which statement about a $\frac{\pi}{4}, \frac{\pi}{4}, \frac{\pi}{2}$ triangle with hypotenuse $\sqrt{2}$ is true?

Find the midpoint of the segment with endpoints $E(2.5,-7)$ and $F(-6.2,-3.8)$ .

Find the area of a circle inscribing an 18-inch by 24-inch rectangle in square inches. Options: (A) $5 \pi$ , (B) $16 \pi$ , (C) $30 \pi$ , (D) $225 \pi$ .

A circular cake weighs 12 pounds. If wedges with a $60^{\circ}$ angle are cut, what is the weight of each wedge?

An arc is $\frac{1}{6}$ of a circle's circumference and measures $3 \pi$ inches. Find the circle's area in square inches.

Find the length of arc UV in a circle sector with area $81 \pi$ . Choices: (A) $6 \pi$ , (B) $9 \pi$ , (C) $27 \pi$ , (D) $54 \pi$ , (E) $108 \pi$ .

Find the value of $y$ if $H$ is the midpoint of $\overline{FG}$ with $G(4x, 6y+6)$ , $F(2y+2,2x+4)$ , and $H(4,15)$ .

Find the midpoint of the segment $AB$ with points $A(-5,-4)$ and $B(-3,3)$ .

Find the value of $k$ if the areas of rectangles $3k \times 3$ and $(k+3) \times 6$ are equal.

Graph the equation $x + 2y = 3$ using the points: (0, $\frac{3}{2}$ ), (3, 0), (8, 1).

Find $m \angle F L H$ given $m \angle F L G=(14 x+5)^{\circ}$ and $m \angle H L G=(17 x-1)^{\circ}$ .