2 years ago

What is the scale factor of AABC to A DEF?

Mathematics

1 answer:

Nina [5.8K]2 years ago

4 0

Answer:

Step-by-step explanation:

To determine the scale factor calculate the ratio of corresponding sides, image to original, that is

$\frac{DE}{AB}$ = $\frac{48}{6}$ = 8 → D

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The side lengths of the following right triangle 15,20 and 25, as shown below. The altitude from the right angle splits the hypo

kompoz [17]

Answer:

$h = 12$

$x = 9$

$y= 16$

Step-by-step explanation:

Given

The attached triangle

Required

Find h, x and y

Let the base of the triangle be 15.

So, the area is:

$A = \frac{1}{2} * 15 * 20$

$i.e\ height = 20$

$A = \frac{1}{2} * 300$

$A = 150$

Let the base of the triangle be 25.

So, the area is:

$A = \frac{1}{2} * 25 * h$

$i.e\ height = h$

$A = \frac{1}{2} * 25h$

Substitute $A = 150$

$\frac{1}{2}*25h = 150$

Solve for h

$h = \frac{150 *2}{25}$

$h = 6 *2$

$h = 12$

Considering the smallest triangle

$Hypotenuse = 15$

So:

$15^2 = h^2 + x^2$

$15^2 = 12^2 + x^2$

This gives:

$15^2 - 12^2 = x^2$

$81 = x^2$

Take square roots

$9 =x$

$x = 9$

Solving for y

$x + y = 25$

$y= 25 - x$

$y= 25 - 9$

$y= 16$

7 0

2 years ago

Sean bought 8 slurpees at $1.50 each and 6 popsicles. He gave the cashier $25.00 and received $4.00 change. How much did each Po

Lina20 [59]

Answer:

1.50

Step-by-step explanation:

8 x 1.50=12

25-12=13

13-4=9

9/6=1.5

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On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y =

rosijanka [135]

Answer:

Well ,lets see∉ if you add theose numbers togetherФ it maybe it he answer is 4=67 *64 ---4 67x54 5xe4t4 6x

7 0

2 years ago

Given the following triangle, if a = 12 and ∠B = 48°, find b to the nearest whole number.

Keith_Richards [23]

In the figure, the triangle ABC is a right triangle, a is the adjacent leg to the angle B, and b is the opposite side to the same angle.

So, you can use the tangent ratio which relates the angle, the opposite leg and the adjacent leg:

tangent (angle B) = b / a => b = a * tan(B)

=> b = 12 * tan(48°) = 13.33≈ 13

Answer: 13

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2 years ago

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Write the point slope form of the given line that passes through points (-4,-1) and (3,-3). Identify (x1,y1) as (-4,-1) include

Masteriza [31]

Y-y1=m(x-x1)

find slope
(y2-y1)/(x2-x1)

so
(-4,-1)
(3,-3)
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y-(-1)=-2/7(x-(-4))
y+1=-2/7(x+4)

6 0

2 years ago