Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

1. Let C be between D and E. Use the Segment addition Postulate to solve for v.
DC = 2v-15
CE = 3v-8
DE = 27

Sagot :

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

View image akposevictor
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.