2 years ago

Solve for x. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.

Mathematics

1 answer:

nekit [7.7K]2 years ago

7 0

Answer: 13.3

Step-by-step explanation:

Since angles in a triangle add to 180 degrees, we know that in triangle UWV, $m\angle U=50^{\circ}$ . Thus, the triangles are similar by AA.

Since corresponding sides of similar triangles are proportional,

$\frac{x}{24}=\frac{20}{36}\\x=(20/36)(24)=\boxed{13.3}$

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