SOLUTION: Find the value of x, below is a screenshot of the triangles copy & paste the link please. Thanks! Show work please. http://prntscr.com/7c9eo1 Thanks!:)

Algebra ->  Equations -> SOLUTION: Find the value of x, below is a screenshot of the triangles copy & paste the link please. Thanks! Show work please. http://prntscr.com/7c9eo1 Thanks!:)       Log On


   

Question 973405: Find the value of x, below is a screenshot of the triangles copy & paste the link please. Thanks! Show work please.
http://prntscr.com/7c9eo1
Thanks!:)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

since triangles similar, corresponding sides are proportional, so
XZ%2FPM=YZ%2FPN
given:
PM=x%2B5
XZ=30
PN=4x-10
YZ=75
then
30%2F%28x%2B5%29=75%2F%284x-10%29.........cross multiply
30%284x-10%29=75%28x%2B5%29
120x-300=75x%2B375
120x-75x=300%2B375
45x=675
x=675%2F45
x=15
PM=x%2B5=15%2B5=20
PN=4x-10=4%2A15-10=60-10=50

PM=20
XZ=30
PN=50
YZ=75