Final answer:
To find the numerical length of vw on line segment uw, we use the equation uv + vw = uw and solve for x.
Step-by-step explanation:
The length of a line segment can be found by subtracting the coordinates of the endpoints. In this case, we are given that vw = x, uv = 3x-1, and uw = 5x-5. To find the numerical length of vw, we need to subtract the coordinates of v and w. Since v is on line segment uw, we know that uv + vw = uw. Therefore, we can set up the equation 3x-1 + x = 5x-5 and solve for x. Once we have the value of x, we can substitute it back into vw = x to find the numerical length of vw.