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

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Answer: VX = 20

Step-by-step explanation: Using the Segment Addition Postulate, we know that VW + WX = VX. From there we create an equation 3x + 5 = 4x. From there, subtract 3x from both sides to get x by itself. This gives us the equation 5 = x, or just x = 5. Now that we know that x = 5, plug it into the equation for VX. This gives us VX = 4(5). Multiply. This tells us that VX =20.

3x + 5 = 4x

-3x -3x

5 = x / x = 5

VX = 4x

VX = 4(5)

VX = 20

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