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Need help with this geometric question
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10 votes
Need help with this geometric question

Need help with this geometric question-example-1
User Glauco Neves
by
8.0k points

1 Answer

7 votes

Answer: QN=19

Explanation:

Diagonals of an isosceles trapezoid are congruent, so NQ=PM.

By the segment addition postulate, NQ=QR+RN=3x+7.

So,


6x-5=3x+7\\\\3x-5=7\\3x=12\\\\x=4

So,
QN=3(4)+7=\boxed{19}

User Bibhas Debnath
by
8.3k points
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