Question

Point W is on line segment VX. Given VW = 4x - 7, VX = 5x + 1, and WX = 3x, determine the numerical length of VW.

Answer 1

To find the numerical length of VW, substitute the given values of VW, VX, and WX into the equation VW = VX - WX and solve for VW.

Step-by-step explanation:

To find the numerical length of VW, we need to substitute the given values of VW, VX, and WX into the equation VW = VX - WX and solve for VW.

1. Substitute VX = 5x + 1 and WX = 3x into VW = VX - WX, giving us VW = (5x + 1) - (3x).
2. Simplify the expression: VW = 5x - 3x + 1.
3. Combine like terms: VW = 2x + 1.

We now have the equation for VW in terms of x. To find the numerical length of VW, we need to find the value of x. This requires additional information or an equation.