A, B , and C are collinear points: B is between A and C. If AB = 36, BC = 5x – 9 , and AC = 54 , find x

Question

A, B , and C are collinear points: B is between A and C. If AB = 36, BC = 5x – 9 , and AC = 54 , find x

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Philomena 5 years 2021-08-16T03:43:37+00:00 1 Answers 24 views 0

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    2021-08-16T03:45:08+00:00

    9514 1404 393

    Answer:

      x = 5.4

    Step-by-step explanation:

    The segment sum theorem tells you …

      AB +BC = AC

      36 +(5x -9) = 54

      5x = 27 . . . . . . . . . . . subtract 27 from both sides

      x = 5.4 . . . . . . . . . . divide by 5

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