Question

1. the following two triangles are similar. solve for x, making sure to show all your work.

Explanation:

Step1: Set up proportion

Since the triangles are similar, the ratios of corresponding sides are equal. So, $\frac{x}{10}=\frac{72}{12}$.

Step2: Solve the proportion

Cross - multiply: $12x = 10\times72$. Then $12x=720$. Divide both sides by 12: $x=\frac{720}{12}$.

Answer:

$x = 60$