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

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) (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
RELATED QUESTIONS
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 (answered by CubeyThePenguin)

<-W-----X-------Y-----------Z-> In the figure above, V, W, X, Y and Z represent points (answered by Edwin McCravy)

<-V----W----X----Y----Z-> In the figure above, V, W, X, Y and Z represent points on a (answered by josgarithmetic)

Q.1) If a, b, c, are real numbers such that a2+2b=6, b2+4c= -7 and c2+6a= -13, then the... (answered by Edwin McCravy)

Quadrilateral WXYZ has vertices W(-2,1), X(-1,3), Y(3,1), and Z(2,-1). What are the... (answered by ikleyn)

If w, x, y, and z are four nonzero numbers, then all of the following proportions are... (answered by AnlytcPhil)

Please help! If wx=z, which of the following expressions is equal to xz? A- w/z^2 B-... (answered by Boreal)

If x, y, and z are non-zero integers, x = 14/z and yz= 7, then x/y = A) 0.5 B) 1 C)... (answered by richard1234)

If (x^2)(y^3)(z^5) is positive, which product is always positive? A) xz B) (y^2)z C) (answered by richard1234)