By solving a linear equation, we conclude that the measure of AC is 31 units.
How to find AC?
We know that A, B, and C are 3 collinear points, such that B is in the middle.
That means that:
AC = AB + BC
Here we know that:
AC = 3x - 38
AB = 2x - 40
BC = 25
Replacing that, we get the linear equation:
3x - 38 = 2x - 40 + 25
Solving this for x, we get:
3x - 2x = -40 + 25 + 38
x = -40 + 25 + 38 = 23
Replacing that in the equation for AC, we get:
AC = 3x- 38 = 3*23 -38 = 31
We conclude that the measure of AC is 31 units.
If you want to learn more about linear equations:
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