Question

Suppose b is the midpoint of AC. AB=5x and BC= 3x+4 Find ac

Answer 1

so AB = BC

5x = 3x+4

2x = 4

x = 4/2

x = 2

AB = 5x = 5*2 = 10

BC = 3x+4 = 3*2+4= 6+4 = 10

AC = AB +BC = 10 +10 = 20

AC = 20

hope this will help you

Answer 2

If B is the midpoint of AC, then it means that AB = BC.

Thus we can have
5x = 3x + 4

Solve for x.
5x - 3x = 3x - 3x + 4
2x = 4
x = 2

AB = 5x so 5(2) = 10
BC = 3x + 4 so 3(3) + 4 = 9 + 4 = 13

10 + 13 = 23

AC = 23