jadenqui0518 jadenqui0518
  • 17-09-2020
  • Mathematics
contestada

If B is the midpoint of AC, AB = 6x + 1 and BC = 3x + 10, then what is the length of AC?

Respuesta :

jcherry99
jcherry99 jcherry99
  • 17-09-2020

Answer:

AC = 38

Step-by-step explanation:

A mid point divides a line in 2 equal parts. That means that one segment is equal to the other.

6x + 1 = 3x + 10                 Subtract 3x from both sides

6x-3x + 1 = 3x -3x + 10     Combine

3x + 1 = 10                         Subtract 1 from both sides

3x + 1 -1 = 10 - 1

3x = 9                                Divide by 3

3x/3 = 9/3

x = 3

6x + 1 = 6*3 + 1 = 19

3x +10= 3*3 + 10 = 19

Both segments are 19 units long

AC = 19 + 19 = 38

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