Y is between X and Z
The value of d=2 and the value of YZ = 16
Given :
Y is between X and Z.
XY = 11d, YZ = 9d – 2, XZ = 5d + 28
We need to find the value of d
we know that Y is between X and Z
So, [tex]XZ=XY+YZ[/tex]
Replace the given expression and solve for d
[tex]XZ=XY+YZ\\5d+28=11d+9d-2\\Combine \; like \; terms\\5d+28=20d-2\\Subtract \; 5d\\28=15d-2\\\\Add \; 2\\30=15d\\Divide \; by \; 15\\d=2[/tex]
The value of d=2
Now we find out YZ using d=2
[tex]YZ=9d-2\\YZ=9(2)-2\\YZ=16[/tex]
The value of YZ is 16
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