Respuesta :

Answer:

x = 5

Step-by-step explanation:

Since both sides are given, set both sides equal to eachother.

3x + 1 = 5x - 9

Segment CM is on the left and segment MB is on the right. From now on, solve for x.

Step 1: Isolate x by itself by subtracting the lesser value

3x + 1 = 5x - 9

-3x        -3x                     the x's on the left cross out

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 1 = 2x - 9

+9         +9                      having x on one side

----------------

10 = 2x

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Step 2: Divide each side by 2 to get rid of x's coefficient

10 = 2x

/2     /2

----------

5 = x

Solution: x = 5

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Solving for CB: Substitute x for both sides since x = 5

3(5) + 1 = side CM

15 + 1 = side CM

16 = side CM

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Solving for CB: Solve for the other side (segment MB)

5(5) - 9 = side MB

25 - 9 = side MB

14 = side MB

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Solving for CB: Lastly, add up the sides

16 + 14 = segment CB

30 = segment CB

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akposevictor

Applying the knowledge of midpoint of a segment, the value of x = 5.

Given:

[tex]CM = 3x+1\\\\MB = 5x-9[/tex]

To solve this, we would apply our knowledge of Midpoint of a Segment to create an equation that will help us solve for the value of x.

  • Since M as a midpoint of CB, will divide CB into equal segments.

Thus:

  • Given that M is a midpoint of CB, therefore,

[tex]CM = MB[/tex]

  • Substitute

[tex]3x + 1 = 5x - 9[/tex]

  • Collect like terms

[tex]3x - 5x = -1 - 9\\\\-2x = -10[/tex]

  • Divide both sides by -2

[tex]x = 5[/tex]

Therefore, applying the knowledge of midpoint of a segment, the value of x = 5.

Learn more here:

https://brainly.com/question/17877300

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