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10 May, 09:14

Triangle ABC is congruent to Triangle DEF with AB = 2x+6, and DE = 5x-12. What is the length of DE?

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  1. 10 May, 12:36
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    Step-by-step explanation:

    ΔABC ≅ ΔDEF

    So, DE = AB

    5x - 12 = 2x + 6

    5x = 2x + 6 + 12

    5x = 2x + 18

    5x - 2x = 18

    3x = 18

    x = 18/3

    x = 6

    DE = 5x - 12 = 5*6 - 12

    = 30 - 12

    DE = 18
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