65 832
Assignments Done
99,1%
Successfully Done
In October 2018

Answer to Question #4059 in Geometry for Jessica

Question #4059
In the diagram, points V, W, X, Y, and Z are collinear, VZ=52, XZ=20, and WX=XY=YZ. Find the length of WX
Expert's answer
Since WX = XY = YZ, assume they are all of R length, hence
VX - WX = VW :: 32 -R = VW
3R + VW = 52 :: We have two equations and two unknowns, so we can solve the system for R and VW
R = 32 -VW :: 3(32-VW) + VW =52
96 -3VW + VW = 52
96 - 2VW = 52
2VW = 96 - 52
2VW = 44
VW = 22
R = 32- VW = 32 -22 = 10
Answer: VW = 22, WX = XY = YZ = 10, WY = 20, WZ = 30, VY = 42

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be first!

Leave a comment

Ask Your question

Submit
Privacy policy Terms and Conditions