SOLUTION: <-W----X------Y--------Z-> In the figure above, if WX/XY=5/7, XY/YZ=7/9, and YZ=18, How long is WZ? a.7 b.10 c.24 d.32 e.42

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: <-W----X------Y--------Z-> In the figure above, if WX/XY=5/7, XY/YZ=7/9, and YZ=18, How long is WZ? a.7 b.10 c.24 d.32 e.42      Log On


   

Question 907689: <-W----X------Y--------Z->
In the figure above, if WX/XY=5/7, XY/YZ=7/9, and YZ=18, How long is WZ?
a.7
b.10
c.24
d.32
e.42
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

YZ = 18 ... given

XY/YZ=7/9 ... given

XY/18=7/9 ... plug in YZ = 18

XY=18*(7/9) ... Multiply both sides by 18.

XY = 14 ... multiply and simplify

-----------------

WX/XY=5/7 ... given

WX/14=5/7 ... plug in XY = 14

WX=14*(5/7) ... Multiply both sides by X.

WX = 10 ... Multiply

------------------
Summary so far:

YZ = 18
XY = 14
WX = 10
------------------

Use those values above to find WZ

WZ = WX + XY + YZ ... segment addition postulate

WZ = 10 + 14 + 18 ... substitution

WZ = 42 ... substitution

So the final answer is e.42