Question

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

Answer 1

Answer: 8.8

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,

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