miranda737 miranda737
  • 07-11-2020
  • Mathematics
contestada

Find the value of x if C is the midpoint of line segment AB, AC=4x+5, and
AB=78?

Respuesta :

devishri1977
devishri1977 devishri1977
  • 09-11-2020

Answer:

x =  8.5

Step-by-step explanation:

AC + CB = AB

As C is the midpoint AC = CB = 4X + 5

AC + CB = AB

4x + 5 + 4x + 5 = 78

4x + 4x + 5 + 5  = 78            {Combine like terms}

            8x + 10 = 78            {Subtract 10 from both sides}

                    8x = 78 - 10

                    8x = 68

                      x = 68/8

                      x =  8.5

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