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I need help asap, please give the correct answer

I need help asap, please give the correct answer-example-1

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Answer:

w = 6

Explanation:

Midsegment theorem states that "a segment connecting midpoints of the two sides of a triangle is parallel and half in measure of the third side."

By this theorem,

ST = 2(PR)

w + 6 = 2w

(w + 6) - w = 2w - w

w = 6

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