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