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Math Help - circle questions

  1. #1
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    circle questions

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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by dgenerationx2 View Post
    in attachments

    (8)

    m\widehat{BD}=50^{\circ}

    m\widehat{CE}=90^{\circ}

    m\widehat{DE}=360-120-50-90=100^{\circ}

    m\angle BFC=\frac{1}{2}(m\widehat{BC}+m\widehat{DE})=\frac  {1}{2}(120+100)=110^{\circ}
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    A riddle wrapped in an enigma
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    (9)

    12x=9 \cdot 16

    12x=144

    x=12


    Are we to assume that the external segment of length y is a tangent to the circle? If so, use the tangent secant theorem.

    y^2=3 \cdot 27

    y^2=81

    y=\sqrt{81}

    y=9
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  4. #4
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    (11)

    10(x+10)=8(2x+8)

    10x+100=16x+64

    6x=36

    x=6

    Secant lengths are 16 and 20
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  5. #5
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    thanks

    thanks a lot
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