Final answer:
To find the length of the line segment UW, you add the lengths of segments UV and VW together, which gives you a total length of 9 units.
Step-by-step explanation:
To determine the length of line segment UW, we simply need to add the lengths of segments UV and VW together. The length of UV is given as 3, and the length of VW is given as 6. Therefore, we add these two lengths to find the total length of UW.
UW = UV + VW
UW = 3 + 6
UW = 9
Thus, the length of line segment UW is 9 units.