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7 October, 22:34

If the measure of AC = 75, what are the lengths of AB and BC? AB is (5x) and BC (11x-5)

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  1. 8 October, 01:49
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    AB + BC = AC Segment Addition Postulate

    (5x) + (11x - 5) = 75 Substitution

    16x - 5 = 75 Simplify (add like terms)

    16x = 80 Addition Property of Equality

    x = 5 Divison Property of Equality

    AB = 5x = 5 (5) = 25

    BC = 11x - 5 = 11 (5) - 5 = 55 - 5 = 50

    Answer: AB = 25, BC = 50
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