Answer: AC = 98
Step-by-step explanation:
A midpoint is a point on a line segment that divides it into two equal parts.
This means AB = BC
AB = 8x - 7
BC = 6x + 7
AB = BC
8x - 7 = 6x + 7
Solve this to find x
Add 7 to both sides
8x = 6x + 14
Subtract 6x from both sides
2x = 14
Divide both sides by 2
x = 7
Now AC = AB + BC
AC = AB + BC
AC = 8x - 7 + 6x + 7
AC = 14x
Substitute 7 for x
AC = 14(7)
AC = 98
Hope this helps!
