antojustice
antojustice antojustice
  • 15-06-2022
  • Mathematics
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Need help with this geometry question

Need help with this geometry question class=

Respuesta :

Medunno13
Medunno13 Medunno13
  • 25-06-2022

Answer: QN=19

Step-by-step explanation:

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

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

So,

[tex]6x-5=3x+7\\\\3x-5=7\\3x=12\\\\x=4[/tex]

So, [tex]QN=3(4)+7=\boxed{19}[/tex]

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