The value of x will be equal to 6.
What is a line segment?
A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.
Given that MP = 4x – 1, PN = 9, and MN = 9x – 22, the value of x will be calculated by equating the segments in the line.
MP + PN = MN
4x - 1 + 9 = 9x - 22
5x = 22 + 9 - 1
5x = 30 x = 30 / 5
x = 6
Therefore, the value of x will be equal to 6.
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