Question

Need help with this geometric question

Answer 1

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}`