If FG = 9, GH = 4x, and FH = 7x, what is GH?

Discussion in 'Calculator Requests' started by math_celebrity, Sep 20, 2021.

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  1. math_celebrity

    math_celebrity Administrator Staff Member

    If FG = 9, GH = 4x, and FH = 7x, what is GH?

    By segment addition, we have:
    FG + GH = FH

    Substituting in the values given, we have:
    9 + 4x = 7x

    To solve this equation for x, we type it in our math engine and we get:
    x = 3

    The question asks for GH, so with x = 3, we have:
    GH = 4(3)
    GH = 12
     

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