miaxcruz miaxcruz
  • 14-09-2020
  • Mathematics
contestada

Given: BC=7x-13, AB=4x+26
B is the midpoint of AC. Find AB and BC
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A
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B C
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•
D

Respuesta :

jimrgrant1 jimrgrant1
  • 14-09-2020

Answer:

see explanation

Step-by-step explanation:

Since B is at the midpoint of AC, then

BC = AB , substitute values

7x - 13 = 4x + 26 ( subtract 4x from both sides )

3x - 13 = 26 ( add 13 to both sides )

3x = 39 ( divide both sides by 3 )

x = 13

Thus

AB = 4x + 26 = 4(13) + 26 = 52 + 26 = 78

BC = 7x - 13 = 7(13) - 13 = 91 - 13 = 78

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