Question

Question 2

If B is the midpoint of line segment AC, and BA = 8x + 9 cm, while CA = 28x - 3 cm, determine the value of x.

Answer 1

`x=(3)/(5)`

Explanation:

Midpoint of a line is a point that divides it into two equal segments.

As B is the midpoint of line segment AC,

`AB=BC`

Put
`BA=8x+9\,,\,CA=28x-3`

To find value of
`x`, solve
`8x+9=28x-3`

Therefore,

`8x+9=28x-3\\9+3=28x-8x\\12=20x\\x=(12)/(20)\\ x=(3)/(5)`

So, value of
`x` is
`(3)/(5)`