saraleiva saraleiva
  • 20-02-2021
  • Mathematics
contestada

B is the midpoint of AC and AC=8r-20,and AB=3x-1
Find BC

B is the midpoint of AC and AC8r20and AB3x1 Find BC class=

Respuesta :

thebecks
thebecks thebecks
  • 20-02-2021

Answer:

BC = 26

Step-by-step explanation:

since B is the midpoint of AC, then AB = BC

AC = 8x - 20 & AB = 3x - 1

AC = AB + BC or 2AB

8x - 20 = 2(3x - 1)

8x - 20 = 6x - 2

subtract 6x form each side

2x - 20 = -2

add 20 to each side

2x - 20 + 20 = -2 + 20

2x = 18

x = 9

BC = 3x - 1

BC = 27 - 1

BC = 26

AC = 52

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