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 Given: Segment AB & "congruent to" Line Segment AC. AB = 5x + 18, BC =7, Perimeter of ABC (triangle ) = 53. Find the value of x and length of AC.

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Answer: x=1, AC=23

Explanation:

ABC=AB+AC+BC

53=5x+18+5x+18+7

53=10x+36+7

53=10x+43

10x=10

x=1

AC=5x+18

AC=5(1)+18

AC=23

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