Question

Use the figure to write the segment addition postulate, write and equation and solve for x.

Pls explain

Answer 1

`x = 3`

Explanation:

From the figure given, we have points A,B, and C, that are collinear. Therefore, according to the segment addition postulate,
`AB + BC = AC`.

We are given that:

AB = 9x + 7

BC = -5x + 20

AC = 39

An equation that can be used to solve for x would be:

`(9x + 7) + (-5x + 20) = 39`

Solve for x

`9x + 7 - 5x + 20 = 39`

`9x - 5x + 7 + 20 = 39`

`4x + 27 = 39`

Subtract 27 from both sides

`4x + 27 -27 = 39 - 27`

`4x = 12`

Divide both sides by 4

`(4x)/(4) = (12)/(4)`

`x = 3`