What is value of x, given that line OP is parallel to line NQ?

x = 10
x = 20
x = 13
x = 25.5

Question

What is value of x, given that line OP is parallel to line NQ?



x = 10
x = 20
x = 13
x = 25.5

osuxbucks15 · Answer

attachment

anonymous · Answer

x =10.  I'll explain in my next post

osuxbucks15 · Answer

ok thank u

anonymous · Answer

Because the triangle OPM and NQM share teh angle M and side NM is parallel to OM and NQ is parallel to OP and PM is parallel to QM, the larger and smaller triangles are similar.

osuxbucks15 · Answer

o ok!

anonymous · Answer

So since they are similar, the ratios of the length of teh sides from teh smaller and larger triangle are proportional.  So you can use the ratio of 

NM/OM=QM/PM
18/27=20/(20+x)
Then solve for x to get the answer of 10

anonymous · Answer

Here are some rules from vias.org:
Two triangles are said to be similar if
-the angles of each triangle are equal, or
-the ratio between the three sides are equal, or
-one angle and the ratio between two sides is equal.