The value of x is 10.
YZ = 60
How to find the distance YZ?
The whole segment is XZ and the whole segment contains XY and YZ. Therefore, the sum of XY and YZ is the whole length of XZ.
Hence,
XY = 2x + 1
YZ = 6x
XZ = 81
Therefore, let's find x and YZ
2x + 1 + 6x = 81
2x + 6x + 1 = 81
8x + 1 = 81
8x + 1 - 1 = 81 - 1
8x = 80
divide both sides by 8
8x / 8 = 80 / 8
x = 10
Therefore,
YZ = 6(10) = 60
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