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slamgirl [31]
2 years ago
9

AB = 2x – 17, AC = 14, and BC = x + 1. Find x.

Mathematics
1 answer:
Volgvan2 years ago
3 0

9514 1404 393

Answer:

  • x = 10
  • AB = 3
  • BC = 11

Step-by-step explanation:

If B lies between A and C on a line segment, then ...

  AB +BC = AC

  (2x -17) +(x +1) = 14

  3x = 30 . . . . . . . . . . . . . add 16, collect terms

  x = 10 . . . . . . . . . . . divide by 3

  AB = 2(10)-17 = 3

 BC = 10+1 = 11

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