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

If you are using a screen-reader, please consult your instructor for assistance.Using your setup, what are the values of x, VM, MW, and VW?

Using the following image solve the problems below given that M is the midpoint of VW If you are using a screenreader please consult your instructor for assista class=

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MrRoyal

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:

[tex]VM = MW[/tex]

Substitute known values

[tex]4x - 1= 3x+3[/tex]

Collect like terms

[tex]4x - 3x = 1 + 3[/tex]

Evaluate like terms

[tex]x = 4[/tex]

Hence, the value of x is 4

The expression for VM is:

[tex]VM = 4x - 1[/tex]

So, we have:

[tex]VM = 4(4) - 1[/tex]

[tex]VM = 15[/tex]

Hence, the value of VM and MW is 15

The length of VW is the sum of both lengths.

So, we have:

[tex]VW = 15 + 15[/tex]

[tex]VW = 30[/tex]

Hence, the value of VW is 30

Read more about midpoints at

https://brainly.com/question/18315903

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