Question

Solve for x. Round your answer to the nearest tenth if necessary.

Answer 1

Answer: 8.8

Step-by-step explanation:

Because $\angle S \cong \angle S$ by the reflexive property, we know that $\triangle STU \sim \triangle SQR$ by AA.

So, by the triangle proportionality theorem,

$\frac{x}{5.3}=\frac{11.1}{6.7}\\x=(11.1/6.7)(5.3) \approx \boxed{8.8}$