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LMNO is a parallelogram. If NM = x + 9 and OL = 2x+ 7, find the value of x and then find NM and OL.

User Langdon
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Answer:NM = OL= 11

Explanation:

A parallelogram is a shape that has four sides. The length of the two directly opposite sides are equal. It also has four angles. Opposite angles are supplementary( sum of both angles is 180 degrees.)

The sum of the four angles in the parallelogram is 360 degrees.

The parallelogram LMNO is shown in the attached photo

Since the opposite sides are equal, that means that NM = OL

x +9 = 2x + 7

x - 2x =7-9

-x = -2

x = 2

OL = 2x + 7 = 2×2 +7 = 11

NM = x + 9 = 2 +9 = 11

LMNO is a parallelogram. If NM = x + 9 and OL = 2x+ 7, find the value of x and then-example-1
User Dmitry Shvedov
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