Question

Set up a equation and solve for X.

Next to each step write the postulate or property used for that step

Answer 1

`x = 4`

Explanation:

`GH = 3x` (given)

`HJ = x + 16` (given)

`GJ = 32` (given)

`GH + HJ = GJ` (segment addition postulate)

`(3x) + (x + 16) = 32` (substitution)

Solve for x

`3x + x + 16 = 32`

`4x + 16 = 32`

`4x + 16 - 16 = 32 - 16` (subtraction property of equality)

`4x = 16`

`(4x)/(4) = (16)/(4)` (division property of equality)

`x = 4`