Geometry

Problem 2401

Calcola perimetro e area di un trapezio rettangolo con basi $108 \mathrm{~cm}$ e $63 \mathrm{~cm}$ e altezza $28 \mathrm{~cm}$ .

See Solution

Problem 2402

Due basi di un trapezio rettangolo sono $32 \mathrm{~cm}$ e $42 \mathrm{~cm}$ . Area è $888 \mathrm{~cm}^{2}$ . Trova il perimetro.

See Solution

Problem 2403

Calcola area e perimetro di un trapezio isoscele con basi $37 \mathrm{~cm}$ e $27 \mathrm{~cm}$ e altezza $12 \mathrm{~cm}$ .

See Solution

Problem 2404

Berechne den Umfang $u$ und den Flächeninhalt $A$ des Dreiecks mit $a=8cm$ , $b=5.66cm$ , $c=8cm$ , $h_c=5.3cm$ .

See Solution

Problem 2405

Berechne die Höhe $h_a$ eines Dreiecks mit Flächeninhalt $A = 17,55 \, \text{cm}^2$ und Seite $a = 7,8 \, \text{cm}$ .

See Solution

Problem 2406

You walk on a bearing of 32°, turn left 115°, then right 46°. What is your final bearing?

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Problem 2407

Triangle $\mathrm{ABC}$ a $\mathrm{AB}=6 \mathrm{~cm}$ , $\mathrm{BC}=3 \mathrm{~cm}$ , $\mathrm{AC}=4 \mathrm{~cm}$ . Trouvez M, Q, et analysez le triangle $MAB$ .

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Problem 2408

Find the equation of the line through $(-3,4)$ with an undefined slope.

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Problem 2409

Find the equation of the line passing through $(-1,-2)$ with a slope of $1$ .

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Problem 2410

Find the equation of the line through $(4,1)$ that is perpendicular to $y=-\frac{4}{3}x+4$ .

See Solution

Problem 2411

Identify the independent and dependent quantities when Jill's baton reaches a height of 22 feet in 2 seconds.

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Problem 2412

Calcola perimetro e area di un trapezio isoscele con lati $25 \mathrm{~cm}$ , altezza $24 \mathrm{~cm}$ e base minore $16 \mathrm{~cm}$ .

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Problem 2413

Find the vertical and horizontal changes between points $(2.5,1)$ and $(5,2)$ . Then, calculate the slope using these changes.

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Problem 2414

Il perimetro del quadrato $ABCD$ è tre volte quello del quadrato $EFGH$ con lato $36 \mathrm{~cm}$ . Trova il lato di $ABCD$ .

See Solution

Problem 2415

Il perimetro del quadrato $A B C D$ è tre volte quello di un quadrato EFGH con lato di $36 \mathrm{~cm}$ . Trova il lato di $A B C D$ .

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Problem 2416

Un trapezio rettangolo ha basi che sommano a $96 \mathrm{~cm}$ . La base minore è $5/7$ della maggiore. Trova l'area sapendo che l'altezza è $3/7$ della base maggiore.

See Solution

Problem 2417

Un rettangolo ha una differenza di dimensioni di $25 \mathrm{~cm}$ e l'altezza è $3/8$ della base. Trova perimetro e area.

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Problem 2418

Help Milynn find the center of the next circle for her inscribed triangle. Consider previous circles, rules, and vertex positions.

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Problem 2419

In un triangolo rettangolo, l'ipotenusa è lunga $2 \mathrm{~cm}$ più di un cateto e la somma dei cateti è $32 \mathrm{~cm}$ . Trova il perimetro.

See Solution

Problem 2420

You start at a bearing of 32 degrees, turn left 115 degrees, then right 46 degrees. Find your final bearing.

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Problem 2421

Due parallelogrammi $A B C D$ e $A^{\prime} B^{\prime} C^{\prime} D^{\prime}$ sono simili. Se $A B=30 \mathrm{~cm}$ , $B C=20 \mathrm{~cm}$ e $B^{\prime} C=16 \mathrm{~cm}$ , trova il rapporto di similitudine e $A^{\prime} B^{\prime}$ .

See Solution

Problem 2422

Trova il punto di intersezione tra il piano $4x - y + 2z - 3 = 0$ e la retta $x = -2 - 2t$ , $y = 1 + t$ , $z = -5 - t$ .

See Solution

Problem 2423

You start at a bearing of 30 degrees and turn left to 290 degrees. How many degrees did you turn?

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Problem 2424

Scrivi l'equazione della retta $r$ che passa per $P(1, 0, -1)$ e è parallela ai piani $x+2y+z+3=0$ e $2x+y-z+1=0$ . $[x-1=-y=z+1]$

See Solution

Problem 2425

Un quadrato ha un'area di $\frac{25}{16}$ di un secondo quadrato con perimetro di $51,2 \mathrm{~cm}$ . Trova il perimetro del primo quadrato.

See Solution

Problem 2426

Find the slope of the line through points $(8,2)$ and $(12,-10)$ . What is $\mathrm{m}$ ? $\mathrm{m}=[?]$

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Problem 2427

Find the missing input for the slope formula $m=\frac{0-[?]}{-1-3}$ using points $(-1,-2)$ and $(3,0)$ . Options: A. -2, B. -1, C. 0, D. 3.

See Solution

Problem 2428

Check if the scale from triangle with sides 1cm, 2cm, 2.5cm to triangle with sides 3cm, 6cm is $1:3$ .

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Problem 2429

Find the slope of the line through the points (5,3) and (8,-6). $\mathrm{m}=[?]$

See Solution

Problem 2430

Find the slope of the line through points $(12,3)$ and $(6,1)$ . Simplify: Slope $=[?] \frac{[]}{[]}$

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Problem 2431

Find the slope of the line through points $(-9,-2)$ and $(5,1)$ . Slope $=\frac{[?]}{[]}$ .

See Solution

Problem 2432

What does $V(r)=\frac{4}{3} \pi r^{3}$ represent for a basketball's radius $r$ ?

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Problem 2433

A square's area is 36. Find its perimeter, given that area = side $^2$ .

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Problem 2434

Find $BC$ if $BC=x-8$ , $AC=2x-8$ , and $AB=12$ .

See Solution

Problem 2435

Find $B C$ given that $A C=2 x-5$ , $A B=12$ , and $B C=x-6$ .

See Solution

Problem 2436

Find $x$ if PR = 2x + 21, RP = 12, and PQ = x + 24.

See Solution

Problem 2437

Find $x$ if $\overline{FG} = x$ , $\overline{GH} = 2x - 22$ , and $\overline{FH} = 14$ .

See Solution

Problem 2438

Find $x$ if $HG = 8$ , $GF = 17 + 2x$ , and $HF = x + 18$ .

See Solution

Problem 2439

Find $x$ if $FG = 2x - 3$ , $GH = 2x - 3$ , and $FH = 22$ .

See Solution

Problem 2440

Find $x$ if $KL = x + 18$ , $LM = 2x + 17$ , and $KM = 17$ .

See Solution

Problem 2441

Find the perimeter of a rectangle with width $(7 h+3)$ cm and length $(8 h-4)$ cm.

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Problem 2442

Find the possible heights of a parallelogram with area 18 sq. units and sides 24 and 6 units long. Options: $\frac{3}{4}$ , $\frac{4}{3}$ , 3, 4.

See Solution

Problem 2443

Find the perimeter of a rectangle with width $(5 v-2 w)$ cm and length $(6 v+7 w)$ cm.

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Problem 2444

The area of a parallelogram is 18 sq. units. One side is 24 units, the other is 6 units. Find possible heights: A $\frac{3}{4}$ , B $\frac{4}{3}$ , C 3, D 4, E 12.

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Problem 2445

Risa sews a ribbon around a square blanket with each side 72 inches. How many inches of ribbon does she need?

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Problem 2446

Find the area of a parallelogram window with base $12 \mathrm{in}$ and height $6 \mathrm{in}$ . Options: A) 22, B) 60, C) 72, D) 120.

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Problem 2447

Calculate the area of a parallelogram with base $6.2 \, \text{cm}$ and height $6.2 \, \text{cm}$ .

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Problem 2448

Find point $P$ on line segment $\overline{A F}$ where the ratio $AP:PF = 1:3$ . Determine the location of $P$ on the number line.

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Problem 2449

Determine which postcard size matches the shape of a painting with dimensions 30.25 inches by 25.25 inches. Options:
1. 5 inches by 5 inches
2. 8 inches by 4 inches
3. 6.05 inches by 5.05 inches
Show your work.

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Problem 2450

Which postcard matches the shape of a painting where the long side is 1.2 times the short side? Options: A (5x5), B (8x4), C (6.05x5.05).

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Problem 2451

How can you use a scale drawing with scale $s$ to find an actual length $L$ ?

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Problem 2452

What is the distance between two towns on a map if $2 \mathrm{~cm}$ equals $30 \mathrm{mi}$ and the actual distance is $75 \mathrm{mi}$ ?

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Problem 2453

Find $x$ if the length of $\overline{D F}$ is $(4x + 2)$ inches and $\overline{D E}$ is 17 inches.

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Problem 2454

Find the line of reflection for triangle $XYZ$ with $Z'(10,8)$ given $X(4,-5)$ , $Y(6,-1)$ , $Z(10,-8)$ .

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Problem 2455

Reflect point $C(-1,-6)$ across the line $y=4$ . What are the coordinates of $C^{\prime}$ ?

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Problem 2456

Find the slope of the line for the points (1,10) to (2,20) and for (1,10) to (5,50). What does it represent?

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Problem 2457

Two trees: one is 3m tall with an 18m shadow. Find the height of the other tree with a 39m shadow. Options: $12.5 \mathrm{~m}$ , $6.5 \mathrm{~m}$ , $3.25 \mathrm{~m}$ , $2.17 \mathrm{~m}$ .

See Solution

Problem 2458

Find the new vertices $K^{\prime}, L^{\prime}, M^{\prime}, N^{\prime}$ after rotating polygon KLMN by $90^{\circ}$ clockwise.

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Problem 2459

A spiral is made of semicircles with the first diameter $10 \mathrm{~cm}$ , each next being $\frac{4}{5}$ of the last.
1) Find the total length of the spiral.
2) How far is point $E$ (midpoint of the 6th semicircle) from point $A$ ?

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Problem 2460

Berechne den Flächeninhalt $A$ des Dreiecks und die gesuchten Längen: a) $h_a$ , b) $h_b$ , c) $h_c$ , d) $h_b$ .

See Solution

Problem 2461

Find the rectangle dimensions and max area with a perimeter of $36 \mathrm{~mm}$ . Dimensions: $\mathbf{mm}$ , Area: $\mathrm{mm}^{2}$ .

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Problem 2462

Berechne den Flächeninhalt $A$ des Dreiecks und die gesuchten Längen: a) $c=7,2 \mathrm{~cm}, a=4 \mathrm{~cm}, h_{c}=3,5 \mathrm{~cm} ; h_{a}=$ ? b) $a=9,6 \mathrm{~cm}, b=4 \mathrm{~cm}, h_{a}=5,5 \mathrm{~cm} ; h_{b}=$ ? c) $b=12 \mathrm{~cm}, h_{b}=9,5 \mathrm{~cm}, h_{c}=19 \mathrm{~cm} ; c=$ ? d) $c=11,2 \mathrm{~cm}, h_{c}=7,7 \mathrm{~cm}, h_{b}=5,6 \mathrm{~cm} ; b=$ ?

See Solution

Problem 2463

Berechne die gesuchten Längen für die gegebenen Flächeninhalte und Höhen der Dreiecke:
a) $A=17,55 \mathrm{~cm}^{2}, a=7,8 \mathrm{~cm}, h_{a}=$ ?
b) $A=2340 \mathrm{~mm}^{2}, h_{b}=36 \mathrm{~mm}, b=$ ?
c) $A=18,25 \mathrm{~cm}^{2}, c=73 \mathrm{~mm}, h_{c}=$ ?
d) $A=34,1 \mathrm{~cm}^{2}, h_{a}=62 \mathrm{~mm}, a=$ ?

See Solution

Problem 2464

Berechne die Höhe auf die Hypotenuse $c$ für die gegebenen Seitenlängen: a) $c=5 \mathrm{~cm}, a=3 \mathrm{~cm}, b=4 \mathrm{~cm}$ ; b) $c=25 \mathrm{~cm}, a=15 \mathrm{~cm}, b=20 \mathrm{~cm}$ .

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Problem 2465

Identify the true properties of parallelograms from these options: A. Adjacent sides congruent, B. Opposite angles congruent, C. Opposite angles parallel, D. Opposite sides parallel, E. Consecutive angles supplementary, F. Diagonals bisect each other.

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Problem 2466

Graig has 200 yards of fencing for a garden next to his house. Find dimensions for max area. Possible: 50x100, 50x50, 50x200.

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Problem 2467

Which quadrilaterals have opposite angles that are always congruent? Check all that apply: A. Parallelogram B. Square C. Quadrilateral D. Rhombus

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Problem 2468

Разделите отрезок $A B$ на 4 равные части.

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Problem 2469

Trace the level sets for these functions:
1. $f(x, y)=x-y$
2. $f(x, y)=xy$
3. $f(x, y)=\arcsin\left(\frac{y}{x}\right)$
4. $f(x, y)=e^{y-x^{2}}$
5. $f(x, y, z)=x^{2}-2x+y^{2}+z^{2}+1$

See Solution

Problem 2470

Find (a) the complement and (b) the supplement of an angle measuring $17^{\circ} 15^{\prime}$ .

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Problem 2471

Find the complement and supplement of an angle measuring $22^{\circ} 13^{\prime}$ .

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Problem 2472

Given lines $O A N, O M B$ and $A P B$ , with $A N = 2 O A$ . If $M$ is the midpoint of $O B$ , find $k$ in $\overrightarrow{A P} = k \overrightarrow{A B}$ , given $MPN$ is straight.

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Problem 2473

Mr. Barton's garden has sides $16 \mathrm{ft}$ , $x \mathrm{ft}$ , $x \mathrm{ft}$ , and $20 \mathrm{ft}$ . If the perimeter is $60 \mathrm{ft}$ , find $x$ . Options: (A) $12 \mathrm{ft}$ (B) $15 \mathrm{ft}$ (C) $18 \mathrm{ft}$ (D) $24 \mathrm{ft}$ .

See Solution

Problem 2474

Mr. Barton's rectangular garden has a top side of 16 ft, bottom side of 20 ft, and perimeter of 60 ft. Find $x$ .

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Problem 2475

A square's perimeter is $8 g+16$ . Which expression matches this perimeter based on the side length? (A) $2(4 g+8)$ (B) $4(2 g+4)$ (C) $4(2 g)+16$ (D) $4(g+2)+4(g+2)$

See Solution

Problem 2476

What is the circumference of a circle drawn with a 10-inch chain? Use $\pi \approx 3.14$ . Options: (A) 15.70 (B) 23.14 (C) 31.40 (D) 62.80.

See Solution

Problem 2477

Find the distance from the Tax Office at $(-1.5,-1)$ to the Gas Station at $(3,4)$ , rounded to the nearest tenth.

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Problem 2478

Calculate the distance between points A(4,9) and B(2,-3) using the formula $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ .

See Solution

Problem 2479

Calculate the distance between points A(4,9) and C(9,0) using the formula $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ .

See Solution

Problem 2480

Calculate the distance between points B(2,-3) and C(9,0) using the formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ .

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Problem 2481

Find the distances between points A(4,9), B(-2,-3), and C(0,0). Round to the nearest tenth.

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Problem 2482

Find the $x$ intercept $r$ of the line through points $(2, -3)$ and $(4, 4)$ . What is $r$ ?

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Problem 2483

Zeichne Strecken von $2 \mathrm{~cm}$ , $3,5 \mathrm{~cm}$ , $4,7 \mathrm{~cm}$ . Prüfe Strecken A, B, C, D auf Richtigkeit. Zeichne Linien durch $P_{1}$ und $P_{2}$ : eine parallel, eine senkrecht zu $g$ . Überprüfe mit Geodreieck.

See Solution

Problem 2484

What is the angle in degrees that corresponds to $\frac{92}{360}$ of a full turn in a circle?

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Problem 2485

Find the actual length and width of an elm leaf beetle if 2 in. in the photo equals $8 \mathrm{~mm}$ and the photo dimensions are $1 \frac{1}{2}$ in. and $\frac{3}{4}$ in.

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Problem 2486

A scientist enlarges a photo of an elm leaf beetle. If 2 in. = $8 \mathrm{~mm}$ , find the actual length and width of the beetle from its photo size of $1 \frac{1}{2}$ in. and $\frac{3}{4}$ in.

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Problem 2487

Measure Sandy's tree height over the years. Draw a slope triangle and check if it shows constant growth. Is the growth linear?

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Problem 2488

Find the central angle in radians and degrees for an arc length of 10 inches on a circle with radius 4 inches.

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Problem 2489

Sandy measures her tree's height each year: (0,0), (1,1), (2,2), (3,2.5), (4,2.5). Analyze slope triangles to check growth rate.

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Problem 2490

Ethan delivers newspapers. Use points (5,200) and (10,400) to find the slope, draw a triangle, and explain its meaning.

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Problem 2491

Find the total time to walk around a circle if it takes 9 minutes to walk from house 1 to house 4.

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Problem 2492

Graph the line defined by the equation $y + 3 = -2(x - 4)$ .

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Problem 2493

Identify the contrapositive: If two figures are similar, then all corresponding angles are equal.

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Problem 2494

Berechnen Sie den Erdaushub ( $\mathrm{m}^{3}$ ), die benötigten Fliesen ( $\mathrm{m}^{2}$ ) und das Wasservolumen in Litern.

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Problem 2495

Solving Problems with the Area of a Circle Answer the questions below based on the diagrams given. Use 3.14 as an approximation for $\pi$ in all of your computations. Round any answers to two decimal places as needed.
Chloe and a friend are ordering pizza. They have a choice between a Medium or Large Pizza as shown in the diagrams above. How many square inches is the Medium Pizza? How many square inches is the Large Pizza? in $^{2}$ $\square$ in $^{2}$
The diameter of the Large pizza is $\square$ times as large as the Medium Pizza.
The area of the Large pizza is $\square$ times as large as the Medium Pizza.
If the Medium Pizza costs $\$ 11$ , how much should the Large pizza cost to be of equal value? $\$$ $\square$ Pizza Math Moral: Unless you have a coupon or there is a special deal going on, it is almost always a better value to order the larger pizza!

See Solution

Problem 2496

Find the other two sides (rounded to the second decimal place) and one non-right angle in the right triangle, with a known angle of 22 degrees and the hypotenuse is equal 37.

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Problem 2497

Find $x$ . $x=$

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Problem 2498

From Unit 3, Lesson 8.) Suppose Quadrilaterals $A$ and $B$ are both squares. Are $A$ and $B$ necessarily scaled copies of one another? Explain. (From Unit 1, Lesson 2.)

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Problem 2499

Find $m \angle K$ .

See Solution

Problem 2500

Find $m \angle H$ .
Write your answer as an integer or as a decimal rounded to the nearest tenth.

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Geometry

Problem 2401

Calcola perimetro e area di un trapezio rettangolo con basi 108 cm108 \mathrm{~cm}108 cm e 63 cm63 \mathrm{~cm}63 cm e altezza 28 cm28 \mathrm{~cm}28 cm.

Problem 2402

Due basi di un trapezio rettangolo sono 32 cm32 \mathrm{~cm}32 cm e 42 cm42 \mathrm{~cm}42 cm. Area è 888 cm2888 \mathrm{~cm}^{2}888 cm2. Trova il perimetro.

Problem 2403

Calcola area e perimetro di un trapezio isoscele con basi 37 cm37 \mathrm{~cm}37 cm e 27 cm27 \mathrm{~cm}27 cm e altezza 12 cm12 \mathrm{~cm}12 cm.

Problem 2404

Berechne den Umfang uuu und den Flächeninhalt AAA des Dreiecks mit a=8cma=8cma=8cm, b=5.66cmb=5.66cmb=5.66cm, c=8cmc=8cmc=8cm, hc=5.3cmh_c=5.3cmhc​=5.3cm.

Problem 2405

Berechne die Höhe hah_aha​ eines Dreiecks mit Flächeninhalt A=17,55 cm2A = 17,55 \, \text{cm}^2A=17,55cm2 und Seite a=7,8 cma = 7,8 \, \text{cm}a=7,8cm.

Problem 2406

You walk on a bearing of 32°, turn left 115°, then right 46°. What is your final bearing?

Problem 2407

Triangle ABC\mathrm{ABC}ABC a AB=6 cm\mathrm{AB}=6 \mathrm{~cm}AB=6 cm, BC=3 cm\mathrm{BC}=3 \mathrm{~cm}BC=3 cm, AC=4 cm\mathrm{AC}=4 \mathrm{~cm}AC=4 cm. Trouvez M, Q, et analysez le triangle MABMABMAB.

Problem 2408

Find the equation of the line through (−3,4)(-3,4)(−3,4) with an undefined slope.

Problem 2409

Find the equation of the line passing through (−1,−2)(-1,-2)(−1,−2) with a slope of 111.

Problem 2410

Find the equation of the line through (4,1)(4,1)(4,1) that is perpendicular to y=−43x+4y=-\frac{4}{3}x+4y=−34​x+4.

Problem 2411

Identify the independent and dependent quantities when Jill's baton reaches a height of 22 feet in 2 seconds.

Problem 2412

Calcola perimetro e area di un trapezio isoscele con lati 25 cm25 \mathrm{~cm}25 cm, altezza 24 cm24 \mathrm{~cm}24 cm e base minore 16 cm16 \mathrm{~cm}16 cm.

Problem 2413

Find the vertical and horizontal changes between points (2.5,1)(2.5,1)(2.5,1) and (5,2)(5,2)(5,2). Then, calculate the slope using these changes.

Problem 2414

Il perimetro del quadrato ABCDABCDABCD è tre volte quello del quadrato EFGHEFGHEFGH con lato 36 cm36 \mathrm{~cm}36 cm. Trova il lato di ABCDABCDABCD.

Problem 2415

Il perimetro del quadrato ABCDA B C DABCD è tre volte quello di un quadrato EFGH con lato di 36 cm36 \mathrm{~cm}36 cm. Trova il lato di ABCDA B C DABCD.

Problem 2416

Un trapezio rettangolo ha basi che sommano a 96 cm96 \mathrm{~cm}96 cm. La base minore è 5/75/75/7 della maggiore. Trova l'area sapendo che l'altezza è 3/73/73/7 della base maggiore.

Problem 2417

Un rettangolo ha una differenza di dimensioni di 25 cm25 \mathrm{~cm}25 cm e l'altezza è 3/83/83/8 della base. Trova perimetro e area.

Problem 2418

Help Milynn find the center of the next circle for her inscribed triangle. Consider previous circles, rules, and vertex positions.

Problem 2419

In un triangolo rettangolo, l'ipotenusa è lunga 2 cm2 \mathrm{~cm}2 cm più di un cateto e la somma dei cateti è 32 cm32 \mathrm{~cm}32 cm. Trova il perimetro.

Problem 2420

You start at a bearing of 32 degrees, turn left 115 degrees, then right 46 degrees. Find your final bearing.

Problem 2421

Problem 2422

Trova il punto di intersezione tra il piano 4x−y+2z−3=04x - y + 2z - 3 = 04x−y+2z−3=0 e la retta x=−2−2tx = -2 - 2tx=−2−2t, y=1+ty = 1 + ty=1+t, z=−5−tz = -5 - tz=−5−t.

Problem 2423

You start at a bearing of 30 degrees and turn left to 290 degrees. How many degrees did you turn?

Problem 2424

Scrivi l'equazione della retta rrr che passa per P(1,0,−1)P(1, 0, -1)P(1,0,−1) e è parallela ai piani x+2y+z+3=0x+2y+z+3=0x+2y+z+3=0 e 2x+y−z+1=02x+y-z+1=02x+y−z+1=0. [x−1=−y=z+1][x-1=-y=z+1][x−1=−y=z+1]

Problem 2425

Un quadrato ha un'area di 2516\frac{25}{16}1625​ di un secondo quadrato con perimetro di 51,2 cm51,2 \mathrm{~cm}51,2 cm. Trova il perimetro del primo quadrato.

Problem 2426

Find the slope of the line through points (8,2)(8,2)(8,2) and (12,−10)(12,-10)(12,−10). What is m\mathrm{m}m? m=[?]\mathrm{m}=[?]m=[?]

Problem 2427

Find the missing input for the slope formula m=0−[?]−1−3m=\frac{0-[?]}{-1-3}m=−1−30−[?]​ using points (−1,−2)(-1,-2)(−1,−2) and (3,0)(3,0)(3,0). Options: A. -2, B. -1, C. 0, D. 3.

Problem 2428

Check if the scale from triangle with sides 1cm, 2cm, 2.5cm to triangle with sides 3cm, 6cm is 1:31:31:3.

Problem 2429

Find the slope of the line through the points (5,3) and (8,-6). m=[?] \mathrm{m}=[?] m=[?]

Problem 2430

Find the slope of the line through points (12,3)(12,3)(12,3) and (6,1)(6,1)(6,1). Simplify: Slope =[?][][]=[?] \frac{[]}{[]}=[?][][]​

Problem 2431

Find the slope of the line through points (−9,−2)(-9,-2)(−9,−2) and (5,1)(5,1)(5,1). Slope =[?][]=\frac{[?]}{[]}=[][?]​.

Problem 2432

What does V(r)=43πr3V(r)=\frac{4}{3} \pi r^{3}V(r)=34​πr3 represent for a basketball's radius rrr?

Problem 2433

A square's area is 36. Find its perimeter, given that area = side2^22.

Problem 2434

Find BCBCBC if BC=x−8BC=x-8BC=x−8, AC=2x−8AC=2x-8AC=2x−8, and AB=12AB=12AB=12.

Problem 2435

Find BCB CBC given that AC=2x−5A C=2 x-5AC=2x−5, AB=12A B=12AB=12, and BC=x−6B C=x-6BC=x−6.

Problem 2436

Find xxx if PR = 2x + 21, RP = 12, and PQ = x + 24.

Problem 2437

Find xxx if FG‾=x\overline{FG} = xFG=x, GH‾=2x−22\overline{GH} = 2x - 22GH=2x−22, and FH‾=14\overline{FH} = 14FH=14.

Problem 2438

Find xxx if HG=8HG = 8HG=8, GF=17+2xGF = 17 + 2xGF=17+2x, and HF=x+18HF = x + 18HF=x+18.

Problem 2439

Find xxx if FG=2x−3FG = 2x - 3FG=2x−3, GH=2x−3GH = 2x - 3GH=2x−3, and FH=22FH = 22FH=22.

Problem 2440

Find xxx if KL=x+18KL = x + 18KL=x+18, LM=2x+17LM = 2x + 17LM=2x+17, and KM=17KM = 17KM=17.

Calcola perimetro e area di un trapezio rettangolo con basi $108 \mathrm{~cm}$ e $63 \mathrm{~cm}$ e altezza $28 \mathrm{~cm}$ .

Due basi di un trapezio rettangolo sono $32 \mathrm{~cm}$ e $42 \mathrm{~cm}$ . Area è $888 \mathrm{~cm}^{2}$ . Trova il perimetro.

Calcola area e perimetro di un trapezio isoscele con basi $37 \mathrm{~cm}$ e $27 \mathrm{~cm}$ e altezza $12 \mathrm{~cm}$ .

Berechne den Umfang $u$ und den Flächeninhalt $A$ des Dreiecks mit $a=8cm$ , $b=5.66cm$ , $c=8cm$ , $h_c=5.3cm$ .

Berechne die Höhe $h_a$ eines Dreiecks mit Flächeninhalt $A = 17,55 \, \text{cm}^2$ und Seite $a = 7,8 \, \text{cm}$ .

Triangle $\mathrm{ABC}$ a $\mathrm{AB}=6 \mathrm{~cm}$ , $\mathrm{BC}=3 \mathrm{~cm}$ , $\mathrm{AC}=4 \mathrm{~cm}$ . Trouvez M, Q, et analysez le triangle $MAB$ .

Find the equation of the line through $(-3,4)$ with an undefined slope.

Find the equation of the line passing through $(-1,-2)$ with a slope of $1$ .

Find the equation of the line through $(4,1)$ that is perpendicular to $y=-\frac{4}{3}x+4$ .

Calcola perimetro e area di un trapezio isoscele con lati $25 \mathrm{~cm}$ , altezza $24 \mathrm{~cm}$ e base minore $16 \mathrm{~cm}$ .

Find the vertical and horizontal changes between points $(2.5,1)$ and $(5,2)$ . Then, calculate the slope using these changes.

Il perimetro del quadrato $ABCD$ è tre volte quello del quadrato $EFGH$ con lato $36 \mathrm{~cm}$ . Trova il lato di $ABCD$ .

Il perimetro del quadrato $A B C D$ è tre volte quello di un quadrato EFGH con lato di $36 \mathrm{~cm}$ . Trova il lato di $A B C D$ .

Un trapezio rettangolo ha basi che sommano a $96 \mathrm{~cm}$ . La base minore è $5/7$ della maggiore. Trova l'area sapendo che l'altezza è $3/7$ della base maggiore.

Un rettangolo ha una differenza di dimensioni di $25 \mathrm{~cm}$ e l'altezza è $3/8$ della base. Trova perimetro e area.

In un triangolo rettangolo, l'ipotenusa è lunga $2 \mathrm{~cm}$ più di un cateto e la somma dei cateti è $32 \mathrm{~cm}$ . Trova il perimetro.

Trova il punto di intersezione tra il piano $4x - y + 2z - 3 = 0$ e la retta $x = -2 - 2t$ , $y = 1 + t$ , $z = -5 - t$ .

Scrivi l'equazione della retta $r$ che passa per $P(1, 0, -1)$ e è parallela ai piani $x+2y+z+3=0$ e $2x+y-z+1=0$ . $[x-1=-y=z+1]$

Un quadrato ha un'area di $\frac{25}{16}$ di un secondo quadrato con perimetro di $51,2 \mathrm{~cm}$ . Trova il perimetro del primo quadrato.

Find the slope of the line through points $(8,2)$ and $(12,-10)$ . What is $\mathrm{m}$ ? $\mathrm{m}=[?]$

Find the missing input for the slope formula $m=\frac{0-[?]}{-1-3}$ using points $(-1,-2)$ and $(3,0)$ . Options: A. -2, B. -1, C. 0, D. 3.

Check if the scale from triangle with sides 1cm, 2cm, 2.5cm to triangle with sides 3cm, 6cm is $1:3$ .

Find the slope of the line through the points (5,3) and (8,-6). $\mathrm{m}=[?]$

Find the slope of the line through points $(12,3)$ and $(6,1)$ . Simplify: Slope $=[?] \frac{[]}{[]}$

Find the slope of the line through points $(-9,-2)$ and $(5,1)$ . Slope $=\frac{[?]}{[]}$ .

What does $V(r)=\frac{4}{3} \pi r^{3}$ represent for a basketball's radius $r$ ?

A square's area is 36. Find its perimeter, given that area = side $^2$ .

Find $BC$ if $BC=x-8$ , $AC=2x-8$ , and $AB=12$ .

Find $B C$ given that $A C=2 x-5$ , $A B=12$ , and $B C=x-6$ .

Find $x$ if PR = 2x + 21, RP = 12, and PQ = x + 24.

Find $x$ if $\overline{FG} = x$ , $\overline{GH} = 2x - 22$ , and $\overline{FH} = 14$ .

Find $x$ if $HG = 8$ , $GF = 17 + 2x$ , and $HF = x + 18$ .

Find $x$ if $FG = 2x - 3$ , $GH = 2x - 3$ , and $FH = 22$ .

Find $x$ if $KL = x + 18$ , $LM = 2x + 17$ , and $KM = 17$ .

Find the perimeter of a rectangle with width $(7 h+3)$ cm and length $(8 h-4)$ cm.

Find the possible heights of a parallelogram with area 18 sq. units and sides 24 and 6 units long. Options: $\frac{3}{4}$ , $\frac{4}{3}$ , 3, 4.

Find the perimeter of a rectangle with width $(5 v-2 w)$ cm and length $(6 v+7 w)$ cm.

The area of a parallelogram is 18 sq. units. One side is 24 units, the other is 6 units. Find possible heights: A $\frac{3}{4}$ , B $\frac{4}{3}$ , C 3, D 4, E 12.

Find the area of a parallelogram window with base $12 \mathrm{in}$ and height $6 \mathrm{in}$ . Options: A) 22, B) 60, C) 72, D) 120.

Calculate the area of a parallelogram with base $6.2 \, \text{cm}$ and height $6.2 \, \text{cm}$ .

Find point $P$ on line segment $\overline{A F}$ where the ratio $AP:PF = 1:3$ . Determine the location of $P$ on the number line.

Determine which postcard size matches the shape of a painting with dimensions 30.25 inches by 25.25 inches. Options:
1. 5 inches by 5 inches
2. 8 inches by 4 inches
3. 6.05 inches by 5.05 inches
Show your work.

How can you use a scale drawing with scale $s$ to find an actual length $L$ ?

What is the distance between two towns on a map if $2 \mathrm{~cm}$ equals $30 \mathrm{mi}$ and the actual distance is $75 \mathrm{mi}$ ?

Find $x$ if the length of $\overline{D F}$ is $(4x + 2)$ inches and $\overline{D E}$ is 17 inches.

Find the line of reflection for triangle $XYZ$ with $Z'(10,8)$ given $X(4,-5)$ , $Y(6,-1)$ , $Z(10,-8)$ .

Reflect point $C(-1,-6)$ across the line $y=4$ . What are the coordinates of $C^{\prime}$ ?

Two trees: one is 3m tall with an 18m shadow. Find the height of the other tree with a 39m shadow. Options: $12.5 \mathrm{~m}$ , $6.5 \mathrm{~m}$ , $3.25 \mathrm{~m}$ , $2.17 \mathrm{~m}$ .

Find the new vertices $K^{\prime}, L^{\prime}, M^{\prime}, N^{\prime}$ after rotating polygon KLMN by $90^{\circ}$ clockwise.

A spiral is made of semicircles with the first diameter $10 \mathrm{~cm}$ , each next being $\frac{4}{5}$ of the last.
1) Find the total length of the spiral.
2) How far is point $E$ (midpoint of the 6th semicircle) from point $A$ ?

Berechne den Flächeninhalt $A$ des Dreiecks und die gesuchten Längen: a) $h_a$ , b) $h_b$ , c) $h_c$ , d) $h_b$ .

Find the rectangle dimensions and max area with a perimeter of $36 \mathrm{~mm}$ . Dimensions: $\mathbf{mm}$ , Area: $\mathrm{mm}^{2}$ .

Berechne die Höhe auf die Hypotenuse $c$ für die gegebenen Seitenlängen: a) $c=5 \mathrm{~cm}, a=3 \mathrm{~cm}, b=4 \mathrm{~cm}$ ; b) $c=25 \mathrm{~cm}, a=15 \mathrm{~cm}, b=20 \mathrm{~cm}$ .

Разделите отрезок $A B$ на 4 равные части.

Find (a) the complement and (b) the supplement of an angle measuring $17^{\circ} 15^{\prime}$ .

Find the complement and supplement of an angle measuring $22^{\circ} 13^{\prime}$ .

Given lines $O A N, O M B$ and $A P B$ , with $A N = 2 O A$ . If $M$ is the midpoint of $O B$ , find $k$ in $\overrightarrow{A P} = k \overrightarrow{A B}$ , given $MPN$ is straight.

Mr. Barton's garden has sides $16 \mathrm{ft}$ , $x \mathrm{ft}$ , $x \mathrm{ft}$ , and $20 \mathrm{ft}$ . If the perimeter is $60 \mathrm{ft}$ , find $x$ . Options: (A) $12 \mathrm{ft}$ (B) $15 \mathrm{ft}$ (C) $18 \mathrm{ft}$ (D) $24 \mathrm{ft}$ .

Mr. Barton's rectangular garden has a top side of 16 ft, bottom side of 20 ft, and perimeter of 60 ft. Find $x$ .