Question

1. the figures below are similar. what is the length of x? 4 in 8 in 9 in 10 in x 15 in

Explanation:

Step1: Identify corresponding sides

For similar figures, the ratios of corresponding sides are equal. The ratio of the top - horizontal sides is $\frac{4}{10}$. The ratio of the vertical non - triangular part of the figures should be the same.

Step2: Set up proportion

We have the proportion $\frac{8}{x}=\frac{4}{10}$.

Step3: Cross - multiply

Cross - multiplying gives us $4x = 8\times10$.

Step4: Solve for x

$4x=80$, so $x = 20$ inches.

Answer:

20 inches