given segment XZ and point Y that lies on XZ find XZ if XY =11 and YZ=17
We can use the segment addition postulate which states that for any three points X, Y, and Z on a line, the distance between X and Z (XZ) is equal to the sum of the distance between X and Y (XY) and the distance between Y and Z (YZ).
In this case, we know that XY = 11 and YZ = 17. Therefore, we can plug these values into the segment addition postulate:
XZ = XY + YZ
XZ = 11 + 17
XZ = 28
So the length of segment XZ is 28 units.