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OpenSessame

  • one year ago

Line AB is tangent to the circle at B. m<A = 14 and mBC=112 a. Find x. b. Find y.

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  1. OpenSessame
    • one year ago
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  2. mathstudent55
    • one year ago
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    |dw:1377144471353:dw|

  3. OpenSessame
    • one year ago
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    \[14=.5(112-X)\] Is that how i would do it?

  4. OpenSessame
    • one year ago
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    Or \[14=.5(x-112)\]

  5. mathstudent55
    • one year ago
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    The first one.

  6. OpenSessame
    • one year ago
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    Okay...So 84?

  7. mathstudent55
    • one year ago
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    |dw:1377145019880:dw|

  8. mathstudent55
    • one year ago
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    Yes

  9. OpenSessame
    • one year ago
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    is 84 X? i feel like im missing something..

  10. mathstudent55
    • one year ago
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    Yes, x = 84. Now you still need y.

  11. OpenSessame
    • one year ago
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    i wouldnt use the same theorem right?

  12. mathstudent55
    • one year ago
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    No. This a different case. You need a different theorem for this one.

  13. mathstudent55
    • one year ago
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    y is the measure of an angle. It is not a length. Perimeter or circumference is a length.

  14. OpenSessame
    • one year ago
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    Okay...So then I'm clueless.

  15. mathstudent55
    • one year ago
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    An angle formed by a tangent and a chord that intersect on the circle is half the measure of the intercepted arc.

  16. OpenSessame
    • one year ago
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    Right!

  17. mathstudent55
    • one year ago
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    |dw:1377145667642:dw|

  18. OpenSessame
    • one year ago
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    But we need to find the arc...right?

  19. mathstudent55
    • one year ago
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    What is the degree measure of arc CD?

  20. mathstudent55
    • one year ago
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    What is the degree measure of an entire circle as an arc?

  21. OpenSessame
    • one year ago
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    360

  22. mathstudent55
    • one year ago
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    Right. Which parts of the circle below do you know the measures of? |dw:1377145802550:dw|

  23. OpenSessame
    • one year ago
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    SO 360-112-84

  24. OpenSessame
    • one year ago
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    164?

  25. mathstudent55
    • one year ago
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    |dw:1377145885955:dw|

  26. OpenSessame
    • one year ago
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    So 164, right?

  27. mathstudent55
    • one year ago
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    Correct. Now you need half of that for y.

  28. OpenSessame
    • one year ago
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    82!

  29. mathstudent55
    • one year ago
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    Bingo!

  30. OpenSessame
    • one year ago
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    Thank you!

  31. mathstudent55
    • one year ago
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    You deserve a medal.

  32. mathstudent55
    • one year ago
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    wlcm

  33. OpenSessame
    • one year ago
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    I just need someone to guide me threw the first couple of times then i start getting it lol

  34. mathstudent55
    • one year ago
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    That's the whole idea of studying and having a teacher or a tutor.

  35. OpenSessame
    • one year ago
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    Do you know anything about probability distribution?And Im studying online, so i miss out on that just a little bit!

  36. mathstudent55
    • one year ago
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    No, sorry, probability is not my thing.

  37. OpenSessame
    • one year ago
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    Alright, thanks for your help!

  38. mathstudent55
    • one year ago
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    wlcm

  39. OpenSessame
    • one year ago
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    Thanks to you and @Directrix I understand geometry!

  40. mathstudent55
    • one year ago
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    That's great, thanks. Keep asking questions. That's how you learn. You can tag me any time. If I'm not on, I'll see it the next time I'm on, and if you didn't get any response yet, I'll try to help.

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