Question

If point B is the midpoint of points A and C, find the value of x and AC. AB= 5x - 2, BC= 9x -10

Answer 1

Answer:

AC = 6 ÷ 7

x = 2

Step-by-step explanation:

Given that

AB = 5x - 2

BC = 9x - 10

So,

AC = AB + BC

= 5x - 2 + 9x - 10

14x -12 = 0

AC = 6 ÷ 7

As B is the mid point of point A and point C, so the value of x is determined by solving the given equations mentioned in the question

5x - 2 = 9x - 10

5x - 9x = -10 +2

-4x = -8

x = 2

Hence, the value of AC and the X is 6 ÷ 7 and 2 respectively