Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

OSUxBucks15 Group Title

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

  • This Question is Closed
  1. OSUxBucks15 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    • one year ago
    1 Attachment
  2. j814wong Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

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

    • one year ago
  3. OSUxBucks15 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ok thank u

    • one year ago
  4. j814wong Group Title
    Best Response
    You've already chosen the best response.
    Medals 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
  5. OSUxBucks15 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    o ok!

    • one year ago
  6. j814wong Group Title
    Best Response
    You've already chosen the best response.
    Medals 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
  7. j814wong Group Title
    Best Response
    You've already chosen the best response.
    Medals 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
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.