Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
If the points P, Q, V and K are collinear, they will follow the segment addition postulate.
Measure of segment VP will be 214 units.
It's given in the question,
- P, Q, V and K are collinear.
- VP = 14x + 4
- PK = x + 630
- VQ = 17x + 6
- KQ = 11x + 5
By segment addition postulate,
KQ + VQ + VP = KP
Substitute the values in the expression,
(11x + 5) + (17x + 6) + (14x + 4) = x + 630
(11x + 17x + 14x) + (5 + 6 + 4) = x + 630
42x + 15 = x + 630
42x - x = 630 - 15
41x = 615
x = [tex]\frac{615}{41}[/tex]
x = 15
Therefore, measure of VP = (14x + 4)
= 14(15) + 4
= 214 units
Measure of segment VP will be 214 units.
Learn more,
https://brainly.com/question/628239

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.