Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Emily778

  • one year ago

Find the value of x. FG perpendicular to OP, RS perpendicular to OQ, FG=20, RS=24, OP=14

  • This Question is Closed
  1. Emily778
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    1 Attachment
  2. Emily778
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @Hunus @jim_thompson5910

  3. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    let r = radius of the circle

  4. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    by the pythagorean theorem, we can say (FP)^2 + (OP)^2 = (OF)^2 10^2 + 14^2 = r^2 solve for r and tell me what you get

  5. Emily778
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    100 + 196 = 296^2. Now what?

  6. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    r^2 = 296 so r = ???

  7. Emily778
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    296

  8. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    no

  9. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    r^2 is 296, not r

  10. Emily778
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    87, 616

  11. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    don't square it though

  12. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    how do you undo squaring something

  13. Emily778
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    sqrt?

  14. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yep

  15. Emily778
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    16.9?

  16. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you did sqrt(296) right?

  17. Emily778
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Yea

  18. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    it's close, but not correct

  19. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    sqrt(296) = 17.2046505340852 round to whatever place you need to

  20. Emily778
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    17.2 isn't one of the answers. Only 16.9

  21. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    but remember, we want x, not r

  22. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    we use r to get x

  23. Emily778
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    the possible answers are: 16.9, 14, 12.3, and 12..

  24. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\large r = \sqrt{296} \rightarrow r^2 = 296\] \[\large (OQ)^2 + (RQ)^2 = (OR)^2\] \[\large (OQ)^2 + (RQ)^2 = r^2\] \[\large x^2 + 12^2 = 296\] \[\large x^2 + 144 = 296\] ... ... ... \[\large x = ???\]

  25. Emily778
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    152

  26. Emily778
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    12.3

  27. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\large x^2 = 152\] so \[\large x = ???\]

  28. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    good, x is roughly 12.3

  29. Emily778
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    What about this one?

    1 Attachment
  30. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    what about it? what do you want to find? and what are you given?

  31. Emily778
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Oh. Lol. Forgot.\ AB is a diameter and AB is perpendicular to CD.

  32. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    alright so that's all the given info?

  33. Emily778
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I know the angles are all 90 degrees.

  34. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    what do you need to find exactly?

  35. Emily778
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Find BD for AC= 58 DEGREES

  36. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    AC is a segment, not an angle

  37. Emily778
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Okay..

  38. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so is it ACP or ACB that's 58 degrees

  39. Emily778
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    This is exactly what it says. Find m BD for m AC= 58 degrees.

  40. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    oh arc AC, gotcha

  41. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    angle APC = (1/2)*(arc AC + arc BD) 90 = (1/2)*(58 + x) 90*2 = 58 + x 180 = 58 + x solve for x

  42. Emily778
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    122

  43. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yep

  44. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.