Find the value of x if Y is between x and Z. XY=2x+1,YZ=6x, and XZ=81

Raphael Huang asked Oct 9, 2023

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23 votes

Find the value of x if Y is between x and Z.
XY=2x+1,YZ=6x, and XZ=81

Raphael Huang asked Oct 9, 2023

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17 votes

Use segment addition postulate
XY + YZ = XZ
2x + 1 + 6x = 81
8x + 1 = 81
8x = 80
x = 10

Check
2(10)+1+6(10)=81
20+1+60=81
81=81

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