Final answer:
To find the value of UW when V is the midpoint of UW, we use the fact that UV is equal to VW. By setting up an equation and solving for x, we can find the value of UW.
Step-by-step explanation:
To find the value of UW, we need to use the fact that V is the midpoint of UW. This means that UV is equal to VW. We are given that UV = 9x. So, VW must also be equal to 9x. Now, we can write an equation using the information given.
UV + VW = UW
9x + 9x = 17x + 4
18x = 17x + 4
Subtracting 17x from both sides, we get:
x = 4
Now, we can substitute the value of x back into the equation to find UW:
UW = 17x + 4 = 17(4) + 4 = 68 + 4 = 72
Therefore, UW is equal to 72.