Question

use the following similar figures to solve for x....

Explanation:

Step1: Set up proportion

For similar figures, the ratios of corresponding sides are equal. So we have $\frac{8}{96}=\frac{x}{72}$.

Step2: Cross - multiply

Cross - multiplying gives us $96x = 8\times72$.

Step3: Calculate the right - hand side

$8\times72=576$, so $96x = 576$.

Step4: Solve for x

Dividing both sides by 96, $x=\frac{576}{96}=6$.

Answer:

6