Question

10. Determine the value of x if RY = 11x + 46 and RW = 3x + 58.

Answer 1

The value of x is 3/2.

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 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.