Question

solve for x. round your answer to the nearest tenth if necessary. figures are not necessarily drawn to scale. answer x =

Explanation:

Step1: Identify similar triangles

Since the angles of the two triangles are equal (79°, 59°, 42°), the triangles are similar.

Step2: Set up proportion

For similar triangles, the ratios of corresponding sides are equal. So we have $\frac{x}{65}=\frac{26}{95}$.

Step3: Solve for x

Cross - multiply: $95x = 65\times26$. Then $x=\frac{65\times26}{95}=\frac{1690}{95}\approx17.8$.

Answer:

$17.8$