Question

Using the following image, solve the problems below given that M is the midpoint of VW.

Answer 1

The midpoint of a line segment divides the line segment into equal halves.

• The value of x is 4
• The value of VM and MW is 15
• The value of VW is 30

Point M is the midpoint of line segment VW.

So, we have:

$VM = MW$

Substitute known values

$4x - 1= 3x+3$

Collect like terms

$4x - 3x = 1 + 3$

Evaluate like terms

$x = 4$

Hence, the value of x is 4

The expression for VM is:

$VM = 4x - 1$

So, we have:

$VM = 4(4) - 1$

$VM = 15$

Hence, the value of VM and MW is 15

The length of VW is the sum of both lengths.

So, we have:

$VW = 15 + 15$

$VW = 30$

Hence, the value of VW is 30

Read more about midpoints at

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