The length of MP is 22 units.
What is a Line Segment?
A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.
The figure is given below shows a line segment AP, where the length of line segment AP refers to the distance between its endpoints, A and P.
Given that Points A, M and P are collinear with M in between A and P.
AP=29, AM =5x-3 and MP=8x+6,
A______________M______________P
⇒ AP = AM + MP
Substitute the values of AP = 29, AM =5x-3 and MP=8x+6,
⇒ 29 = 5x - 3 + 8x+6,
Rearranging the terms in the above equation,
⇒ 5x + 8x = 29 + 3 - 6
⇒ 13x = 26,
⇒ x = 26/13,
⇒ x = 2
So MP = 8x+6
Substitute the value of x = 2 in the above equation,
⇒ MP = 8(2) + 6
⇒ MP = 22
Hence, the length of MP is 22 units.
Learn more about the line segment here:
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