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QT is the midsegment of the trapezoid PRSU. If RS=2w+21, QT=4w+27, and PU=w+38, what is the value of w?
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4 votes
QT

is the midsegment of the trapezoid PRSU.
If RS=2w+21, QT=4w+27, and PU=w+38, what is the value of w?

User Eugene Laminskiy
by
4.4k points

1 Answer

4 votes

Answer:

w=1

Explanation:

QT=(RS+PU)/2

4w+27=(2w+21+w+38)/2

3w+59=2*(4w+27)=8w+54

8w-3w=59-54

5w=5

w=1

User Nikhil Seepana
by
3.7k points
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