If ON= 8x-8, LM= 7x-4, NM= x-9 and OL= 5y-7, find the values of x and y for which LMNO must be a parallelogram.?

2 Answers

  • To be a parallelogram, both pairs of opposite sides must be equal in length, i.e. LM=ON and LO=MN

    LM=ON

    7x-4=8x-8 (-7x)

    -4=x-8 (+8)

    4=x

    x=4

    LO=MN

    5y-7=x-9 (sub x=4)

    5y-7=4-9

    5y-7=-5 (+7)

    5y=2 (/5)

    y=2/5

    Therefore,

    x=4

    y=2/5

  • opposite sides are congruent...did you make a diagram ? do it now !

    You have BAD information in your problem !

    ON = LM

    8x - 8 = 7x - 4

    solving for x gives: x = 4

    However, if x = 4, then NM (which you say is (x - 9)) would be NEGATIVE...

    CAN NOT HAVE A NEGATIVE DIMENSION !

    Check your problem, check your post...repost the problem correctly !

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