Here's the question you clicked on:
OSUxBucks15
What is value of x, given that line OP is parallel to line NQ? x = 10 x = 20 x = 13 x = 25.5
x =10. I'll explain in my next post
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.
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
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.