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Two Chords AB and CD, are equidistant from the center of a circle. AB=3x+7 and CD=27-x. Solve for x and find the lengths of AB and CD

  • Geometry - ,

    If they are equidistant, the clearly they must be equal

    so solve
    3x + 7 = 27-x
    4x = 20
    x = 5
    AB = 3(5)+7 = 22
    CD = 22

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