Geometry

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In parallelogram DEFG, DH = x + 1, HF = 3y, GH = 3x – 4, and HE = 5y + 1. Find the values of x and y.

The parallelogram has D at the top left E at the top right, G at the bottom left and and F at the bottom right with H in the middle.

Thank You ^0^

  • Geometry -

    Since the diagonals bisect each other,

    x+1 = 3y
    3x-4 = 5y+1

    x - 3y = -1
    3x - 5y = 5

    3x - 9y = -3
    3x - 5y = 5

    4y = 8
    y=2
    x=5

  • Geometry -

    THank You :) I appreciate your help! :)

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