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The diagonals of rhombus FGHJ intersect at point C. If side GH is equal to x + 9 and side JH is equal to 5x – 2, find x.

  • geometry -

    a rhombus is a a quad with 4 equal sides.
    So if you have followed the convention of naming the vertices in either a clockwise or couter-clockwise fashion, then both GH and JH are sides of the rhombus

    so 5x-2 = x+9
    4x = 11
    x = 11/4 = 2.75

    The fact that the diagonals intersect at C appears redundant information.

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