1. Point V is somewhere on the line segment UW. If UV = 8 then find the length of VW.

VW = 3

Step-by-step explanation:

From the diagram, we know that UW = 11.

We also know that UV + VW = UW, because UW is the length of the whole segment.

Using substitution (knowing 2 of the line segments), we find that 8 + VW = 11.

If we subtract 8 from both sides using inverse operations, we find that VW = 3, which is the answer.

Hope this helps!