AdoreR748048 AdoreR748048
  • 03-11-2022
  • Mathematics
contestada

LMNO is a parallelogram. If NM = x + 27 and OL = 4x + 9, find the value of x and thenfind NM and OL.

LMNO is a parallelogram If NM x 27 and OL 4x 9 find the value of x and thenfind NM and OL class=

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LeonidesU150175 LeonidesU150175
  • 03-11-2022

Solution

LMNO is a parallelogram

A Parallelogram has two sides parallel and opposite

NM = x + 27 , OL = 4x + 9

for a paralleolgram equate the two sides NM = OL

[tex]\begin{gathered} OL=NM \\ 4x+9=x+27 \\ \text{collect like ters} \\ 4x-x=27-9 \\ 3x=18 \\ x=\frac{18}{3} \\ x=6 \end{gathered}[/tex]

The value of x = 6

[tex]\begin{gathered} NM=x+27 \\ NM=6+27 \\ NM=33 \end{gathered}[/tex][tex]undefined[/tex]

Therefore the

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