Respuesta :

akposevictor

By applying the segment addition postulate, the value of v = 7

  • According to the Segment Addition Postulate, it holds that if point C is between points D and E, therefore:

DC + CE = DE

  • Given that:

[tex]DC = 2v-15\\\\CE = 3v-8\\\\DE = 27[/tex]

  • Therefore, by substitution, we will have the following equation:

[tex](2v-15) + (3v-8) = 27[/tex]

  • Open the bracket and solve for the value of v.

[tex]2v-15 + 3v-8 = 27[/tex]

  • Add like terms

[tex]5v - 23 = 27[/tex]

  • Add 23 to both sides

[tex]5v - 23+ 23 = 27 + 23\\\\5v = 50[/tex]

  • Divide both sides by 5

v = 10

Therefore, using the segment addition postulate, the value of v = 10

Learn more about the segment addition postulate here:

https://brainly.com/question/1721582

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