peytonritchhh peytonritchhh
  • 06-12-2017
  • Mathematics
contestada

LMNO is a parallelogram. If NM = x + 23 and OL = 5x + 7, find the value of x.

x = 6

x = 12

x = 1

x = 4

LMNO is a parallelogram If NM x 23 and OL 5x 7 find the value of x x 6 x 12 x 1 x 4 class=

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wuzzleluver
wuzzleluver wuzzleluver
  • 06-12-2017
Parallelogram: a four-sided figure with two sets of equal sides and two sets of equal angles. Angles opposite each other in a parallelogram are equal in measure. Sides opposite each other are also equal in length in this shape.

Therefore, we know that because this is a parallelogram, sides OL and NM will be equal in length. So, we can set the two equations equal to each other.

NM=x+23
OL=5x+7

NM=OL
x+23= 5x+7
23=4x+7
16=4x
4=x

Answer: 
x=4. Let me know if you have any further questions!


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