The betweenness relation states that point Y is between points X and Z if X, Y, and Z are on the same line and XY + YZ = XZ
YZ = 19
x = 4
The reason the above values are correct are as follows:
The given parameters are;
The length of XZ = 29
The length of XY = 10
The length of YZ = 3·x + 7
Required:
To find the length of YZ
Solution:
Whereby X, Y, and Z are points on the same line, we have;
XZ = XY + YZ by betweenness of points relationship
Therefore;
YZ = XZ - XY = 29 - 10 = 19
YZ = 19
Given that we have;
YZ = 3·x + 7
We get;
19 = 3·x + 7
3·x = 19 - 7 = 12
x = 12/3 = 4
x = 4
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