Question

Given that M is the midpoint of VW, what is the length of line segment VM?

Answer 1

Answer:

VM=15

Step-by-step explanation:

4x-1=3x+3 becuase M is the mid point, which makes both sides equal.

Subtract 3x to both sides to get x-1=3.

Add 1 to both sides to get x=4.

Subsitue 4 into the equation 4x-1 to find the lengh of VM.

4(4)-1=

16-1=

15

Answer 2

Using the midpoint concept, it is found that the length of the line segment is of 30 units.

The midpoint divides the line into two segments of equal length, hence $VM = MW$.

Their lengths, as functions of x, are given by:

$VM = 4x - 1$

$MW = 3x + 3$

They have the same lengths, hence:

$4x - 1 = 3x + 3$

$x = 4$

Hence:

$VM = 4x - 1 = 4(4) - 1 = 16 - 1 = 15$

$MW = VM = 15$

The total length is:

$T = VM + MW = 15 + 15 = 30$

The length of the line segment is of 30 units.

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