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Answers ( 10 )
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    i don't understand :(

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    sorry but where is B  :(

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    3 cats :)

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    30 percent :)

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    It is too long so I don't want to write too much

    use The nature of multiplication with addition to divide \(\dfrac{1}{277}\)

    The answer is \(\dfrac{1}{277x257}\)

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    A=\(\dfrac{1}{1x2}+\dfrac{1}{2x3}+...+\dfrac{1}{999x1000}\)

    A=\(1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{999}-\dfrac{1}{1000}\)

    A=\(1-\dfrac{1}{1000}\)

    A=\(\dfrac{999}{1000}\)

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    A=\(\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{16}+\dfrac{1}{32}+\dfrac{1}{64}+\dfrac{1}{128}\)

    128A=64+32+16+8+4+2+1

    128A=127

    A=\(\dfrac{127}{128}\)

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    A=3+32+33+...+32000

    3A=32+33+34+...+32001

    2A=32001-3

    A=\(\dfrac{3^{2001}-3}{2}\)

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    a) x7

    b) a9

    c) (m+n)5

    d) x3n+4

    e)27m6n9

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Questions ( 1 )
  • suppose that M is an arbitrary point in the triangle ABC. Through point M, construct lines DE, IJ,FG such that they are respectively parallel to BC, CA, AB ( in which G, J lie on BC; E,F lie on CA;D, I lie on AB) prove that SAIMF+SBGMD+SCEMJ\(\le\)\(\dfrac{2}{3}S_{ABC}\)

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