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

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

7 0

Answer:

Step-by-step explanation:

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

2x + 5 = 4x - 3 <em>subtract 5 from both sides</em>

2x = 4x - 8 <em>subtract 4x from both sides</em>

-2x = -8 <em>divide both sides by (-2)</em>

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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