The value of x is 3/2.
<h3>What is a Line Segment?</h3>
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 given below shows a line segment YW, where the length of line segment YW refers to the distance between its endpoints, Y and W.
Given that R is the midpoint of YW
RY = 11x + 46 and RW = 3x + 58.
Y______________R______________W
⇒ YW = RY + RW
Since R is the midpoint of YW,
So RY = RW
Substitute the values of RY = 11x + 46 and RW = 3x + 58,
⇒ 11x + 46 = 3x + 58
Rearrange the terms of the above equation and solve for x,
⇒ 11x - 3x = 58 - 46
⇒ 8x = 12
⇒ x = 12/8
⇒ x = 3/2
Hence, the value of x is 3/2.
Learn more about the line segment here:
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The question seems to be incomplete the correct question would be
If R is the midpoint of YW.
Determine the value of x if RY = 11x + 46 and RW = 3x + 58.
