Question

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Given that M is the midpoint of VW, what is the length of line segment VM?
4x-1 3x + 3

Answer 1

VM = 15

Explanation:

Given that line segment VM = 4x - 1

line segment MW = 3x + 3,

since M is the midpoint of VW, therefore:

VM = MW

Thus,

`4x - 1 = 3x + 3`

Find the value of x

`4x - 3x = 1 + 3`

`x = 4`

VM = 4x - 1

Plug in the value of x

`VM = 4(4) - 1 = 16 - 1 = 15`

VM = 15