OSUxBucks15
  • OSUxBucks15
What is value of x, given that line OP is parallel to line NQ? x = 10 x = 20 x = 13 x = 25.5
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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OSUxBucks15
  • OSUxBucks15
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anonymous
  • anonymous
x =10. I'll explain in my next post
OSUxBucks15
  • OSUxBucks15
ok thank u

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anonymous
  • anonymous
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
  • OSUxBucks15
o ok!
anonymous
  • anonymous
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
  • anonymous
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.

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