Question

1. Let C be between D and E. Use the Segment addition Postulate to solve for v.

Answer 1

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:

$DC = 2v-15\\\\CE = 3v-8\\\\DE = 27$

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

$(2v-15) + (3v-8) = 27$

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

$2v-15 + 3v-8 = 27$

• Add like terms

$5v - 23 = 27$

• Add 23 to both sides

$5v - 23+ 23 = 27 + 23\\\\5v = 50$

• 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:

brainly.com/question/1721582