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

Pratik Goenka asked Jan 18, 2023

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29 votes

Pratik Goenka asked Jan 18, 2023

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14 votes

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,

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

Jeff Cousins answered Jan 25, 2023

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