Find the value of n and YZ if Y is between X and Z.

XY = 5n, YZ = 2n, XZ = 91

The value of n and YZ are 13 and 26 respectively

If Y is between X and Z, then:

XY + YZ = XZ

Given the following

XY = 5n

YZ = 2n

XZ = 91

Substitute the given expressions into the formula as shown:

5n + 2n = 91

7n = 91

Divide both sides by 7

7n/7 = 91/7

n = 13

Get the measure of segment YZ

YZ = 2n

YZ = 2(13)

YZ = 26

Hence the value of n and YZ are 13 and 26 respectively

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$12. that is my answer.