22khenning 22khenning
  • 12-06-2020
  • Mathematics
contestada

Find the value of x if A, B, and C are collinear points and B is between A and C. AB=2x,BC=x−2,AC=28

Respuesta :

jbiain jbiain
  • 19-06-2020

Answer:

x = 10

Step-by-step explanation:

Data

  • AB=2x
  • BC=x−2
  • AC=28

Given that A, B, and C are collinear points and B is between A and C, then the addition of the measure of segments AB and BC must be equal to the measure of segment AC, that is:

AB + BC = AC

Replacing with data:

2x + (x - 2) = 28

3x - 2 = 28

3x = 28 + 2

x = 30/3

x = 10

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