Answer:
Step-by-step explanation:
Since B is the midpoint, AB must be equal to BC.
AB = BC
7x - 4 = 3x + 32
Isolate the variable
7x - 4 = 3x + 32
4x = 36
x = 9
Now solve for one side.
AB = 7x - 4
AB = 7(9) - 4
AB = 59
Since both sides are equal, finding AC just means multiplying one side by 2.
AC = AB * 2
AC = (59) * 2
AC = 118
You can double check by finding the other side and multiplying by 2.
BC = 3x + 32
BC = 3(9) + 32
BC = 27 + 32
BC = 59
AC = BC*2
AC = 59*2
AC = 118
Let me know if you have any questions!
