△CDE∼△PQR. CD=9 m, EC=15 m, PQ=15 m. What is the length of RP¯¯¯¯¯¯¯¯?(1 point)

Question

Responses

0.6 m

9 m

30 m

25 m

Answer 1

To solve this problem, we can set up a proportion using the corresponding side lengths of the similar triangles.

Let RP = x m.

Using the side length ratios, we have the proportion:

CD/EC = PQ/RP

Substituting the given values, we get:

9/15 = 15/x

Cross multiplying, we have:

9x = 15 * 15

9x = 225

Dividing both sides by 9, we find:

x = 225/9

Simplifying, we get:

x = 25

So, the length of RP is 25 m. Therefore, the correct answer is 25 m.