Applying the definition of a midpoint, the value of x is calculated as: x = 10.
What is the Midpoint of a Segment?
The midpoint of a segment, for example, point M, is a point that bisects a segment into two equal parts with the same measurement.
Thus, this means that:
PM = MQ
PM = 9x + 3
MQ = 11x - 17
Substitute
9x + 3 = 11x - 17
Combine like terms
9x + 3 - 11x = 11x - 17 - 11x
-2x + 3 = -17
-2x + 3 - 3 = -17 - 3
-2x = -20
-2x/-2 = -20/-2
x = 10
Thus, applying the definition of a midpoint, the value of x is calculated as: x = 10.
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