giúp mik 2 bài này với ak
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Mk gợi ý nhưng chưa chắc đúng đâu nhé vì mk ít khi làm dạng này
`12=4xx3`
`15=3xx5`
`18=2xx9`
Vậy số này chia hết cho `4;3;5;2;9`
\(\frac{7}{x}=\frac{y}{27}=-\frac{42}{54}\)
\(\Leftrightarrow\frac{7}{x}=\frac{y}{27}=-\frac{7}{9}\)
Có \(\frac{7}{x}=-\frac{7}{9}\)
\(\Leftrightarrow x=-9\)
Lại có \(\frac{y}{27}=-\frac{7}{9}\)
\(\Leftrightarrow x=-21\)
Bài 3:
Ta có: a//b
nên \(x+y=180\)
mà \(2x-3y=0\)
nên \(\left\{{}\begin{matrix}x+y=180\\2x-3y=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}2x+2y=180\\2x-3y=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}5y=180\\x+y=180\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=36\\x=144\end{matrix}\right.\)
BÀi 2:
\(\left|x-\frac{2019}{2020}\right|\ge0\forall x\)
=>\(-\frac{2020}{2019}\left|x-\frac{2019}{2020}\right|\le0\forall x\)
=>\(-\frac{2020}{2019}\left|x-\frac{2019}{2020}\right|+\frac{2019}{2020}\le\frac{2019}{2020}\forall x\)
Dấu '=' xảy ra khi \(x-\frac{2019}{2020}=0\)
=>\(x=\frac{2019}{2020}\)
Bài 1:
a: \(A=\frac{155-\frac{10}{7}-\frac{5}{11}+\frac{5}{23}}{402-\frac{26}{7}-\frac{13}{11}+\frac{13}{23}}+\frac{\frac35+\frac{3}{13}-0,9}{\frac{7}{91}+0,2-\frac{3}{10}}\)
\(=\frac{5\left(31-\frac27-\frac{1}{11}+\frac{1}{23}\right)}{13\left(31-\frac27-\frac{1}{11}+\frac{1}{23}\right)}+\frac{3\left(\frac15+\frac{1}{13}-\frac{3}{10}\right)}{\frac15+\frac{1}{13}-\frac{3}{10}}=\frac{5}{13}+3=\frac{44}{13}\)
b: \(B=-\frac54+\frac35-1\frac{3}{14}:\left|-\frac{34}{21}\right|+\frac{-5}{17}:\left|-\frac{1}{34}\right|+\frac53\cdot\left(\frac12-\frac25\right)\)
\(=-\frac54+\frac35-\frac{17}{14}\cdot\frac{21}{34}+\frac{-5}{17}\cdot34+\frac53\cdot\frac{1}{10}\)
\(=-\frac54+\frac35-\frac{3}{2\cdot2}+\left(-10\right)+\frac{5}{30}=-\frac54+\frac35-\frac34+\left(-10\right)+\frac16\)
\(=-\frac{75}{60}+\frac{36}{60}-\frac{45}{60}+\frac{\left(-600\right)}{60}+\frac{10}{60}=\frac{-674}{60}=-\frac{337}{30}\)
c: \(C=1-\frac{1}{5\cdot10}-\frac{1}{10\cdot15}-\cdots-\frac{1}{95\cdot100}\)
\(=1-\frac15\left(\frac{5}{5\cdot10}+\frac{5}{10\cdot15}+\cdots+\frac{5}{95\cdot100}\right)\)
\(=1-\frac15\left(\frac15-\frac{1}{10}+\frac{1}{10}-\frac{1}{15}+\cdots+\frac{1}{95}-\frac{1}{100}\right)\)
\(=1-\frac15\left(\frac15-\frac{1}{100}\right)=1-\frac15\cdot\frac{19}{100}=1-\frac{19}{500}=\frac{481}{500}\)
d: \(D=\frac17+\frac{1}{91}+\frac{1}{247}+\frac{1}{475}+\frac{1}{775}+\frac{1}{1147}\)
\(=\frac{1}{1\cdot7}+\frac{1}{7\cdot13}+\cdots+\frac{1}{31\cdot37}\)
\(=\frac16\left(\frac{6}{1\cdot7}+\frac{6}{7\cdot13}+\cdots+\frac{6}{31\cdot37}\right)=\frac16\left(1-\frac17+\frac17-\frac{1}{13}+\cdots+\frac{1}{31}-\frac{1}{37}\right)\)
\(=\frac16\left(1-\frac{1}{37}\right)=\frac16\cdot\frac{36}{37}=\frac{6}{37}\)
a) \(2^4+8\left[\left(-2\right)^2:\dfrac{1}{2}\right]^0-2^{-2}.4+\left(-2\right)^2\)
\(=2^4+8.1-\dfrac{1}{4}.4+4\)
\(=16+8-1+4\)
\(=24-1+4\)
\(=23+4\)
\(=27\)
365-(120+80-365-350)
=365-120-80+365+350 =(365+365)-(120+80)+350 =730-200+350 =530+350 =880
Bài 1:
a)Vì \(m\perp CD\)
\(n\perp CD\)
nên \(m//n\)
b)Vì \(m//n\) nên
\(\widehat{CFE}+\widehat{FED}=180^o\) (trong cùng phía)
\(110^o+\widehat{FED}=180^o\)
\(\widehat{FED}=70^o\)
Bài 2:
Vì \(AB\perp AD\)
\(AB\perp CB\)
nên \(AD//BC\)
Vì \(AD//BC\) nên
\(\widehat{D_1}+\widehat{C_1}=180^o\) (trong cùng phía)
\(115^o+\widehat{C_1}=180^o\)
\(\widehat{C_1}=65^o\)





