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: Set up proportion

Since the two figures are similar, the ratios of corresponding sides are equal. The ratio of the non - arrow part of the first figure's length to the non - arrow part of the second figure's length is equal to the ratio of the arrow part of the first figure's length to the arrow part of the second figure's length. So, $\frac{8}{x}=\frac{4}{10}$.

Step2: Cross - multiply

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

Step3: Solve for x

$4x=80$, then $x=\frac{80}{4}=20$.

Answer:

20 in