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Mathematics

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W is the midpoint of VX. What is VX if VW=2x+5 and WX =4x-3

Answer :

Today at 7:44 AM

Answer:

VX = 26

Step-by-step explanation:

If W is the midpoint of VX then VW = WX. Therefore we have the equation:

2x + 5 = 4x - 3 subtract 5 from both sides

2x = 4x - 8 subtract 4x from both sides

-2x = -8 divide both sides by (-2)

x = 4

VX = VW + WX

VX = 2x + 5 + 4x - 3 = (2x + 4x) + (5 - 3) = 6x + 2

Put the value of x = 4 to 6x + 2:

VX = 6(4) + 2 = 24 + 2 = 26

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