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a) Ta có BE là tia phân giác của góc B, nên góc EBA = góc EBC. Vì AB = BN, nên tam giác ABE và tam giác BNE là tam giác đồng dạng (cạnh AB tương ứng với cạnh BN). Do đó, ta có góc AEB = góc BEN.
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\(b,\dfrac{2}{3}\left(2x+4\right)^2-\dfrac{1}{3}\left(x+1\right)^2=-\dfrac{1}{3}\left(2x+4\right)^2+\dfrac{2}{3}\left(x+1\right)^2\)
\(\Rightarrow\dfrac{2}{3}\left(2x+4\right)^2+\dfrac{1}{3}\left(2x+4\right)^2=\dfrac{2}{3}\left(x+1\right)^2+\dfrac{1}{3}\left(x+1\right)^2\)
\(\Rightarrow\left(2x+4\right)^2=\left(x+1\right)^2\)
\(\Rightarrow\left[{}\begin{matrix}2x+4=x+1\\2x+4=-\left(x+1\right)\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}2x-x=1-4\\2x+4=-x-1\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=-3\\2x+x=-1-4\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=-3\\3x=-5\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=-3\\x=-\dfrac{5}{3}\end{matrix}\right.\)
Vậy: \(x\in\left\{-3;-\dfrac{5}{3}\right\}\).
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left[\left(\dfrac{-3}{8}+\dfrac{11}{23}\right):\dfrac{5}{9}+\left(\dfrac{-5}{8}+\dfrac{12}{23}\right):\dfrac{5}{9}\right]\cdot\dfrac{11}{235}\)
\(=\left[\left(\dfrac{-3}{8}+\dfrac{11}{23}\right)\cdot\dfrac{9}{5}+\left(\dfrac{-5}{8}+\dfrac{12}{23}\right)\cdot\dfrac{9}{5}\right]\cdot\dfrac{11}{235}\)
\(=\dfrac{9}{5}\cdot\left(\dfrac{-3}{8}+\dfrac{11}{23}+\dfrac{-5}{8}+\dfrac{12}{23}\right)\cdot\dfrac{11}{235}\)
\(=\dfrac{9}{5}\cdot\left[\left(\dfrac{-3}{8}+\dfrac{-5}{8}\right)+\left(\dfrac{11}{23}+\dfrac{12}{23}\right)\right]\cdot\dfrac{11}{235}\)
\(=\dfrac{9}{5}\cdot\left(-1+1\right)\cdot\dfrac{11}{235}\)
\(=\dfrac{9}{5}\cdot0\cdot\dfrac{11}{235}\)
\(=0\)
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In spite of loving ice-cream, Linda didn't eat more than one
![](https://rs.olm.vn/images/avt/0.png?1311)
One of my favorite hobby is playing football. I spend a lot of free time playing football after finishing my homework. I was so interested in playing football from my childhood and started learning to play when I was 9 years old. When I was 10 years old, my dad told my teacher about my hobby of football. My teacher told my dad that there was a facility for playing sports daily in school so he could admit his child. Now, I enjoy playing football and I participate in inter-school competitions.
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 2/7 : x = 11/6 : 7/12
2/7 : x = 22/7
x = 2/7 : 22/7
x = 1/11
b) (2 - x)/3 = -3/(x - 2)
(2 - x)(x - 2) = -3.3
-(x - 2)² = -9
(x - 2)² = 9
x - 2 = 3 hoặc x - 2 = -3
*) x - 2 = 3
x = 3 + 2
x = 5
*) x - 2 = -3
x = -3 + 2
x = -1
Vậy x = -1; x = 5
c) (x - 1)/(x + 2) = 2/3
3(x - 1) = 2(x + 2)
3x - 3 = 2x + 4
3x - 2x = 4 + 3
x = 7
a) 2/7 : x = 11/6 : 7/12
2/7 : x = 22/7
x = 2/7 : 22/7
x = 1/11
b) (2 - x)/3 = -3/(x - 2)
(2 - x)(x - 2) = -3.3
-(x - 2)² = -9
(x - 2)² = 9
x - 2 = 3 hoặc x - 2 = -3
*) x - 2 = 3
x = 3 + 2
x = 5
*) x - 2 = -3
x = -3 + 2
x = -1
Vậy x = -1; x = 5
c) (x - 1)/(x + 2) = 2/3
3(x - 1) = 2(x + 2)
3x - 3 = 2x + 4
3x - 2x = 4 + 3
x = 7
Số lít dầu ăn dùng trong tuần lễ thứ hai là:
\(133,4+27,2=160,6\) ( lít )
Số lít dầu ăn trung bình của cả hai tuần lễ là:
\(\left(133,4+160,6\right):2=147\) ( lít )
Đ/s:...
thank you friend