The triangles below are similar. Find the value of x.

Question

The triangle on the left points to the top from the bottom horizontal segment. The left segment is 14. The bottom segment is 18. The right segment is 14. The triangle on the right points to the top from the bottom horizontal segment. The left segment is 7. The bottom segment is x. The right segment is 7.
(1 point)
Responses

9
9

8
8

10.5
10.5

11

Answer 1

10.5

To find the value of x, we can use the property of similar triangles where corresponding sides are in proportion.

Therefore, we can set up a proportion:

18/14 = x/7

Cross multiply to solve for x:

18 * 7 = 14 * x

126 = 14x

Divide by 14:

x = 9