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OSUxBucks15

  • 3 years ago

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

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  1. OSUxBucks15
    • 3 years ago
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  2. j814wong
    • 3 years ago
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    x =10. I'll explain in my next post

  3. OSUxBucks15
    • 3 years ago
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    ok thank u

  4. j814wong
    • 3 years ago
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    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.

  5. OSUxBucks15
    • 3 years ago
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    o ok!

  6. j814wong
    • 3 years ago
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    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

  7. j814wong
    • 3 years ago
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    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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