Question

Line segment KN is shown where KR = 16x-3, RW = WN, WN = 9x-3, BR=1/RW, and
KN = 161
Find the value of x.
Find the length of RW.
Find the length of KW.

Answer 1

Solving a linear equation we can see that:

• x = 5
• RW = 42
• KW = 114

How to find the value of x?

Here we have a line segment KN, such that it contains the points R and W inside the segment, such that:

KN = KR + RW + WN

Here we know that:

KN = 161

KR = 16x - 3

RW = WN = 9x - 3

Then we can write the linear equation:

KN = KR + RW + WN

161 = (16x - 3) + (9x - 3) + (9x - 3)

161 = 16x + 9x + 9x - 3 - 3 - 3

161 = 34x - 9

161 + 9 = 34x

170 = 34x

170/34 = x = 5

Then x = 5, and the measures of the segments are:

RW = 9x - 3 = 9*5 -3 = 45 - 3 = 42

KW = KR + RW = 15x - 3 + 9x - 3 = 15*5 - 3 + 42 = 114

If you want to learn more about segments:

https://brainly.com/question/17374569

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