xgoldenx10
xgoldenx10 xgoldenx10
  • 11-06-2020
  • Mathematics
contestada

Points A, B , and C are collinear. Point B is between A and C . Solve for x given the following. AC=22 AB=x+10 BC=x+14

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jimrgrant1 jimrgrant1
  • 11-06-2020

Answer:

x = - 1

Step-by-step explanation:

The points A, B and C are collinear meaning they all lie on a line.

Thus

AB + BC = AC , substitute values

x + 10 + x + 14 = 22, that is

2x + 24 = 22 ( subtract 24 from both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

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