Answer: AC = 2
x = 4
AB = 1
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Step-by-step explanation:
AB = BC and B is between AC. So B is the midpoint of AC
By the segment addition postulate, we can say the following
AB+BC = AC
AB+AB = AC ... replace BC with AB, since AB = BC
2*AB = AC
Now plug in the given expressions and solve for x
2*AB = AC
2*(x-3) = 4x-14
2x-6 = 4x-14
-6+14 = 4x-2x
8 = 2x
2x = 8
x = 8/2
x = 4
Use this x value to find each segment
AB = x-3 = 4-3 = 1
BC = AB = 1
AC = 4x-14 = 4*4-14 = 2
Note how AB+BC = 1+1 = 2, which matches up with AC = 2
This shows that AB+BC = AC is true and the answer has been confirmed.