Question

b is the midpoint of ac. solve for each of the items below: a ——x + 6——b————c 3x - 31 x = ______ ab = ____ bc = ____ ac = ______ x = type your answer... ab = type your answer... bc = type your answer...

Explanation:

Step1: B is midpoint, so AB=BC

AB = x + 6, BC = x + 6

Step2: AC = AB + BC = 2(x + 6)

AC = 2x + 12

Step3: AC given as 3x - 31, set equal

2x + 12 = 3x - 31

Step4: Solve for x

x = 43

Step5: Calculate AB = x + 6

AB = 43 + 6 = 49

Step6: BC = AB = 49

BC = 49

Step7: AC = 2x + 12 = 2*43 + 12 = 98

AC = 98

Answer:

x = 43
AB = 49
BC = 49
AC = 98