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OpenSessame

  • 2 years 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
    • 2 years ago
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  2. mathstudent55
    • 2 years ago
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    |dw:1377144471353:dw|

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

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

  5. mathstudent55
    • 2 years ago
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    The first one.

  6. OpenSessame
    • 2 years ago
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    Okay...So 84?

  7. mathstudent55
    • 2 years ago
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    |dw:1377145019880:dw|

  8. mathstudent55
    • 2 years ago
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    Yes

  9. OpenSessame
    • 2 years ago
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    is 84 X? i feel like im missing something..

  10. mathstudent55
    • 2 years ago
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    Yes, x = 84. Now you still need y.

  11. OpenSessame
    • 2 years ago
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    i wouldnt use the same theorem right?

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

  13. mathstudent55
    • 2 years 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
    • 2 years ago
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    Okay...So then I'm clueless.

  15. mathstudent55
    • 2 years 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
    • 2 years ago
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    Right!

  17. mathstudent55
    • 2 years ago
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    |dw:1377145667642:dw|

  18. OpenSessame
    • 2 years ago
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    But we need to find the arc...right?

  19. mathstudent55
    • 2 years ago
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    What is the degree measure of arc CD?

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

  21. OpenSessame
    • 2 years ago
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    360

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

  23. OpenSessame
    • 2 years ago
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    SO 360-112-84

  24. OpenSessame
    • 2 years ago
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    164?

  25. mathstudent55
    • 2 years ago
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    |dw:1377145885955:dw|

  26. OpenSessame
    • 2 years ago
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    So 164, right?

  27. mathstudent55
    • 2 years ago
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    Correct. Now you need half of that for y.

  28. OpenSessame
    • 2 years ago
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    82!

  29. mathstudent55
    • 2 years ago
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    Bingo!

  30. OpenSessame
    • 2 years ago
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    Thank you!

  31. mathstudent55
    • 2 years ago
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    You deserve a medal.

  32. mathstudent55
    • 2 years ago
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    wlcm

  33. OpenSessame
    • 2 years 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
    • 2 years ago
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    That's the whole idea of studying and having a teacher or a tutor.

  35. OpenSessame
    • 2 years 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
    • 2 years ago
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    No, sorry, probability is not my thing.

  37. OpenSessame
    • 2 years ago
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    Alright, thanks for your help!

  38. mathstudent55
    • 2 years ago
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    wlcm

  39. OpenSessame
    • 2 years ago
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    Thanks to you and @Directrix I understand geometry!

  40. mathstudent55
    • 2 years 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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