The trapezoids in this image are similar. Find the missing side length x (1 point)

Question

Trapezoid one. Trapezoid two.
3cm 8m 7.5 cm x

4.5 cm 5 cm 12.5

Answer 1

To find the missing side length x, you can set up a proportion using the corresponding side lengths of the similar trapezoids.

In Trapezoid 1, the ratio of the shorter base to the longer base is 3:4.5 or 3/4.5 = 0.67
In Trapezoid 2, the ratio of the shorter base to the longer base is x/12.5

Set up the proportion:
3/4.5 = x/12.5

Cross multiply:
4.5x = 3 * 12.5
4.5x = 37.5

Divide by 4.5:
x = 37.5 / 4.5
x = 8.33 cm

Therefore, the missing side length x is 8.33 cm.

Answer 2

wrong

Answer 3

My apologies for the mistake. Let's correct it:

In Trapezoid 1, the ratio of the longer base to the shorter base is 8/3.
In Trapezoid 2, the ratio of the longer base to the shorter base is 12.5/7.5 = 5/3.

Therefore, to find the length of x, you can set up a proportion:

8/3 = 5/3
3(8) = 3(5)
24 = 15
x = 24/15
x = 1.6

Therefore, the missing side length x is 1.6 cm.

Answer 4

find the missing side length of x

Answer 5

Given that the trapezoids are similar, we can set up a proportion using the corresponding side lengths:

For Trapezoid 1:
Shorter base = 3 cm
Longer base = 4.5 cm

For Trapezoid 2:
Shorter base = 7.5 cm
Longer base = 12.5 cm
The ratio of the shorter base to the longer base for Trapezoid 1 is 3/4.5 = 0.67.
The ratio of the shorter base to the longer base for Trapezoid 2 is 7.5/12.5 = 0.6.

Set up the proportion:
3/4.5 = 7.5/12.5

Cross multiply:
3 * 12.5 = 4.5 * 7.5
37.5 = 33.75

Divide by 4.5:
x = 37.5 / 4.5
x ≈ 8.33 cm

Therefore, the missing side length x is approximately 8.33 cm.