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OpenSessame

  • 2 years ago

Compare the quantity in Column A with the quantity in Column B. PA is tangent to the circle at A. https://study.ashworthcollege.edu/access/content/group/45b8c516-1008-46d7-aa1d-bb9b62c786ff/geometry_exam_12_files/mc011-2.jpg

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  1. OpenSessame
    • 2 years ago
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    Column A: AP Column B: AX

  2. OpenSessame
    • 2 years ago
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    A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.

  3. Mandre
    • 2 years ago
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    From what I can see D is the answer, but I might be missing something so maybe someone who knows better than me will answer :).

  4. OpenSessame
    • 2 years ago
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    Okay, thanks:)

  5. OpenSessame
    • 2 years ago
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    @Directrix Help me out again please?

  6. Directrix
    • 2 years ago
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    Are we given that segment AP is a tangent to the circle. This type problem, Quantitative Comparison, was on the SATs at one time. So, if segment AP is a tangent, it will be stated. Look at the question and see. And, if there are several questions based on this diagram, look above the first question for given information.

  7. OpenSessame
    • 2 years ago
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    Whats given, im not sure how to read the picture?

  8. OpenSessame
    • 2 years ago
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    I just know the two things im supposed to compare and that AP is tangent.

  9. dumbcow
    • 2 years ago
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    ok here is what you need...look at first 2 theorems http://en.wikipedia.org/wiki/Circles#Theorems

  10. dumbcow
    • 2 years ago
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    from those you can find.... AX = 9 AP = 2sqrt13

  11. Directrix
    • 2 years ago
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    AP = 2sqrt13 is based on the assumption that segment AP is a tangent, is it not? @dumbcow

  12. dumbcow
    • 2 years ago
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    it states that AP is tangent to circle

  13. Directrix
    • 2 years ago
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    @OpenSessame The solution for AX comes from this theorem:

  14. OpenSessame
    • 2 years ago
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    So that would mean that AP is bigger?

  15. OpenSessame
    • 2 years ago
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    The problem is thats what i got at first and it said it was wrong. And Directrix is says that PA is tangent of the circle.

  16. dumbcow
    • 2 years ago
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    in original post "Compare the quantity in Column A with the quantity in Column B. PA is tangent to the circle at A. "

  17. Directrix
    • 2 years ago
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    1) The problem is thats what i got at first and it said it was wrong. --> I don't know what you are saying here. What did you write the first time and was told what you wrote is wrong? 2) is says that PA is tangent of the circle. Okay. Finally, I see it. Thanks for your patience on that.

  18. Directrix
    • 2 years ago
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    @OpenSessame Tell me about this: 1) The problem is thats what i got at first and it said it was wrong. --> I don't know what you are saying here. What did you write the first time and was told what you wrote is wrong?

  19. OpenSessame
    • 2 years ago
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    That AP is the bigger quantity.

  20. Directrix
    • 2 years ago
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    AX = 9 = sqrt(81) ----> LARGER AP = 2sqrt13 = sqrt(52)

  21. OpenSessame
    • 2 years ago
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    So the answer would be B?

  22. Directrix
    • 2 years ago
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    Yes.

  23. OpenSessame
    • 2 years ago
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    Okay thanks! I have a few other questions i need help with...

  24. Directrix
    • 2 years ago
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    Close this thread and open a new post. I'll meet you at the new post.

  25. OpenSessame
    • 2 years ago
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    Okay!

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