krysten12monest krysten12monest
  • 25-08-2020
  • Mathematics
contestada

I have another one! someone help quick lol!! B is the midpoint of AC if AB=2x+1 and BC=5x-14 Find AC.

Respuesta :

jimrgrant1 jimrgrant1
  • 25-08-2020

Answer:

AC = 22

Step-by-step explanation:

Given that B is the midpoint of AC , then AB = BC , that is

2x + 1 = 5x - 14 ( subtract 2x from both sides )

1 = 3x - 14 ( add 14 to both sides )

15 = 3x ( divide both sides by 3 )

5 = x

Thus

AC = AB + BC = 2x + 1 + 5x - 14 = 7x - 13 = 7(5) - 13 = 35 - 13 = 22

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