Answer:
AC = 38
Explanation:
A mid point divides a line in 2 equal parts. That means that one segment is equal to the other.
6x + 1 = 3x + 10 Subtract 3x from both sides
6x-3x + 1 = 3x -3x + 10 Combine
3x + 1 = 10 Subtract 1 from both sides
3x + 1 -1 = 10 - 1
3x = 9 Divide by 3
3x/3 = 9/3
x = 3
6x + 1 = 6*3 + 1 = 19
3x +10= 3*3 + 10 = 19
Both segments are 19 units long
AC = 19 + 19 = 38