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`a)5/9:(1/11-5/22)+5/9:(1/15-2/3)`
`=5/9:(2/22-5/22)+5/9:(1/15-10/15)`
`=5/9:(-3)/22+5/9:(-9)/15`
`=5/9*(-22)/3+5/9*(-5)/3`
`=5/9*(-22/3+(-5)/3)`
`=5/9*(-9)=-5`

Kẻ CF//AB thì CF//DE
Do đó \(\widehat{BCF}=\widehat{ABC}=40^0;\widehat{FCE}=\widehat{CED}=30^0\) (so le trong)
Vậy \(\widehat{BCE}=\widehat{BCF}+\widehat{FCE}=30^0+40^0=70^0\)

\(\left(\frac{5}{x+3}-2\right).4=7-\left(\frac{9}{x+3}+\frac{1}{2}\right).2\)
\(\Leftrightarrow\frac{20}{x+3}-8=7-\frac{18}{x+3}+1\)
\(\Leftrightarrow\frac{20}{x+3}-8=8-\frac{18}{x+3}\)
\(\Leftrightarrow\frac{20}{x+3}+\frac{18}{x+3}=8+8\)
\(\Leftrightarrow\frac{38}{x+3}=16\)
\(\Leftrightarrow x+3=2,375\)
\(\Leftrightarrow x=-0,625\)
\(\left(\frac{5}{x+3}-2\right).4=7-\left(\frac{9}{x+3}+\frac{1}{2}\right).2\)
\(\Leftrightarrow\frac{20}{x+3}-8=7-\left(\frac{18}{x+3}+1\right)\)
\(\Leftrightarrow\frac{20}{x+3}-8=7-\frac{18}{x+3}-1\)
\(\Leftrightarrow\frac{20}{x+3}+\frac{18}{x+3}=7-1+8\)
\(\Leftrightarrow\frac{38}{x+3}=14\)
\(\Leftrightarrow\left(x+3\right)14=38\)
\(\Leftrightarrow14x+42=38\)
\(\Leftrightarrow14x=-4\Leftrightarrow x=-\frac{4}{14}=-\frac{2}{7}\)
Vậy \(x=-\frac{2}{7}\)

\(\left(-3\right)^2+\sqrt{16}-3-\dfrac{\sqrt{81}}{\left|-3\right|}\\ =9+4-3-3\\ =7\)

Bài 3:
1, Áp dụng t/c dtsbn:
\(\dfrac{x}{6}=\dfrac{y}{4}=\dfrac{z}{3}=\dfrac{z-x}{3-6}=\dfrac{-21}{-3}=7\\ \Rightarrow\left\{{}\begin{matrix}x=42\\y=28\\z=21\end{matrix}\right.\)
2, Áp dụng t/c dtsbn:
\(\dfrac{x}{3}=\dfrac{y}{5}=\dfrac{z}{7}=\dfrac{2x+3y-z}{6+15-7}=\dfrac{-14}{14}=-1\\ \Rightarrow\left\{{}\begin{matrix}x=-3\\y=-5\\z=-7\end{matrix}\right.\)
Bài 4:
Áp dụng tính chất của dãy tỉ số bằng nhau, ta được:
\(\dfrac{x}{\dfrac{1}{2}}=\dfrac{y}{\dfrac{1}{3}}=\dfrac{z}{\dfrac{1}{4}}=\dfrac{x+y+z}{\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}}=\dfrac{130}{\dfrac{13}{12}}=120\)
Do đó: x=60; y=40; z=30

Câu 6:
a: =12x^2+4x-3x-1-5x^2+15x-x^2+7x-12
=6x^2+23x-13
b: =5x^2+5x-2x-2-3x^3+3x^2+9x-2x(x^2-9x+20)
=-3x^3+8x^2+14x-2-2x^3+18x^2-40x
=-5x^3+26x^2-26x-2

Tên tam giác là MNP
Tên 3 đỉnh là M,N,P
Tên 3 góc là \(\widehat{mNp};\widehat{nMp};\widehat{nPm}\)
Tên 3 cạnh là MN, NP, MP
\(25\cdot\left(-\dfrac{1}{5}\right)^2+\dfrac{1}{5}-9\cdot\left(-\dfrac{1}{9}\right)^2+\left(\dfrac{1}{3}\right)^0\\ =25\cdot\dfrac{1}{25}+\dfrac{1}{5}-9\cdot\dfrac{1}{81}+1\\ =1+\dfrac{1}{5}-\dfrac{1}{9}+1\\ =2+\dfrac{4}{45}\\ =\dfrac{94}{45}\)