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3 years ago

The triangles are similar by the AA Similarity Postulate. Find the value of x.

Mathematics

1 answer:

creativ13 [48]3 years ago

7 0

BY the AA postulate, triangles ABC and APQ are similar.

In similar triangles, corresponding sides are proportional.

This means that
AB/AP = BC/PQ

Substituting values,
AB=15
AP=15+7.5=22.5
PQ=18
=>
15/22.5 = x / 18
solve for x
x=18(15/22.5)=18(2/3)=12

Answer: x=12

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