By solving a linear equation, we can see that the measures of the segments are:
Here we have 3 collinear points, a, b, and c.
We know that the measures are:
ab = 9
ac = x + 19
bc = 2x + 18
If b is between a and c, then we should have that:
ac = ab + bc
Replacing the measures we get:
x + 19 = 9 + (2x + 18)
Now we can solve this linear equation to find the value of x.
x + 19 = 9 + 2x + 18
x + 19 = 27 + 2x
19 - 27 = 2x -x
-8 = x
Then the measures are:
ab = 9
ac = -8 + 19 = 11
bc = 2*(-8) + 18 = -16 + 18 = 2
If you want to learn more about linear equations:
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