turtlepandas4life turtlepandas4life
  • 19-09-2021
  • Mathematics
contestada

MO bisects LMN, LMN = 6x-17, and NMO = 2x-1. Solve for x.

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 19-09-2021

9514 1404 393

Answer:

  x = 7.5

Step-by-step explanation:

Angle LMN is twice the measure of angle NMO, so we have ...

  6x -17 = 2(2x -1)

  6x -17 = 4x -2 . . . . eliminate parentheses

  2x = 15 . . . . . . . . . add 17-4x

  x = 7.5 . . . . . . . . . divide by 2

_____

Check

  6x -17 = 6(7.5) -17 = 28

  2x -1 = 2(7.5) -1 = 14 . . . . . . half of angle LMN, as required

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