A, B, and C are collinear points: B is between A and C. If AB = 3x + 4, BC = 4x – 1, and AC = 6x + 5, find AC.

Question

A, B, and C are collinear points:
B is between A and C.
If AB = 3x + 4, BC = 4x – 1, and AC = 6x + 5,
find AC.

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Thu Giang 4 years 2021-08-12T16:59:26+00:00 1 Answers 22 views 0

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  1. ngockhue
    0
    2021-08-12T17:01:17+00:00
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    9514 1404 393

    Answer:

      AC = 17

    Step-by-step explanation:

    The segment sum theorem tells you …

      AB +BC = AC

    Substituting the given expressions, we have …

      (3x +4) +(4x -1) = (6x +5)

      x = 2 . . . . . . . . . . . . . . . . . . subtract 3+6x from both sides

      AC = 6x +5 = 6(2) +5

      AC = 17

    _____

      AB = 10, BC = 7

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