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17 April, 13:36

Triangle ABC is similar to triangle XYZ. Side AB measures 2, side BC measures x + 5, side CA measures x + 7, side XY measures 4 and side ZX measures 4x - 2. Find the value of x.

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  1. 17 April, 14:03
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    Triangle ABC:

    AB=2

    BC=x+5

    CA=x+7

    Triangle XYZ:

    XY=4

    YZ=?

    ZX=4x-2

    x=?

    XY/AB=ZX/CA

    4/2 = (4x-2) / (x+7)

    Simpliying:

    2 = (4x-2) / (x+7)

    Solving for x: Cross multiplication:

    2 (x+7) = (4x-2)

    2x+14=4x-2

    2x+14-2x+2=4x-2-2x+2

    16=2x

    16/2=2x/2

    8=x

    x=8

    Answer: The value of x is 8
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