Respuesta :

Answer:

AC = 146

Step-by-step explanation:

Given that B  is the midpoint of AC, then

AB = BC, that is

9x + 1 = 6x + 25 ( subtract 6x from both sides )

3x + 1 = 25 ( subtract 1 from both sides )

3x = 24 ( divide both sides by 3 )

x = 8

Hence

AC = AB + BC = 9x + 1 + 6x + 25 = 15x + 26, thus

AC = (15 × 8) + 26 = 120 + 26 = 146

Answer:

146

Step-by-step explanation:

AB = BC (Definition of midpoint) so:

9x+1=6x+25.

Solve it as you would any other algebraic equation  >>>  9x+1=6x+25  >>>  9x+1-1=6x+25-1  >>>  9x=6x+24  >>>  -6x+9x=6x-6x+24  >>>  3x=24  >>>  3x/3=24/3  >>>  x=8

AB=9x+1  >>>  AB=9*8+1  >>>  AB=73

BC=6x+25  >>>  BC=6*8+25  >>>  BC=73

AC=AB+BC  >>>  AC=73+73  >>>  AC=146

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