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

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j814wongBest ResponseYou've already chosen the best response.1
x =10. I'll explain in my next post
 one year ago

j814wongBest ResponseYou've already chosen the best response.1
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.
 one year ago

j814wongBest ResponseYou've already chosen the best response.1
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
 one year ago

j814wongBest ResponseYou've already chosen the best response.1
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.
 one year ago
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