LondynnS760344 LondynnS760344
  • 03-11-2022
  • Mathematics
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enter the value of y for which LMNO must be a parallelogram

enter the value of y for which LMNO must be a parallelogram class=

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JourneighY156978 JourneighY156978
  • 03-11-2022

In a parallelogram, opposite sides are equal.

ON = LM

OL = NM

OL = y-6

NM= 1/3 x

ON= 5x-8

LM= 9x-26

First, solve for x

ON = LM

5x - 8 = 9x - 26

-8 + 26 = 9x - 5x

18 = 4x

18/4 = x

x = 4.5

Replace x=4.5 on NM, and solve for y:

OL = NM

y-6= 1/3x

y-6 = 1/3 (4.5)

y-6= 1.5

y= 1.5 + 6

y= 7.5 = 15/2

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