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\(\widehat{BAC}=\dfrac{1}{2}sđ\stackrel\frown{BC}\)
\(\widehat{CBx}=\dfrac{1}{2}sđ\stackrel\frown{BC}\)
Do đó: \(\widehat{BAC}=\widehat{CBx}\)
mà \(\widehat{BOC}=2\cdot\widehat{BAC}\)
nên \(\widehat{BOC}=2\cdot\widehat{CBx}\)
1 The boys like playing video games
2 My mother doesn't like listen to music
3 You should eat more fresh fish, which makes you smarter
4 He had a headache last night, sho he didn't sleep well
5 Doing exercises makes you healthier
6 My dad enjoys planting trees
1 will have - will invite
2 goes
3 play
4 won't study
5 does
6 will travel
7 won't come
8 will come
bài 2
1 riding - walking
2 swimming
3 watching
4 tell
5 travel
6 studying
7 seeing
8 go - have
\(c,x\left(x-20\right)-x+20=0\\ \Leftrightarrow x^2-20x-x+20=0\\ \Leftrightarrow x^2-21x+20=0\\ \Leftrightarrow\left(x-20\right)\left(x-1\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=20\\x=1\end{matrix}\right.\)
\(b,x^2-4+\left(x+2\right)\left(x-3\right)=0\\ \Leftrightarrow x^2-4+x^2-x-6=0\\ \Leftrightarrow2x^2-x-10=0\\ \Leftrightarrow\left(2x-5\right)\left(x+2\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5}{2}\\x=-2\end{matrix}\right.\)
a: Ta có: \(x\left(x-20\right)-x+20=0\)
\(\Leftrightarrow\left(x-20\right)\left(x-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=20\\x=1\end{matrix}\right.\)
b: Ta có: \(x^2-4+\left(x+2\right)\left(x-3\right)=0\)
\(\Leftrightarrow\left(x+2\right)\left(2x-5\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-2\\x=\dfrac{5}{2}\end{matrix}\right.\)
CuO + H2 -> Cu + H2O
0.01 0.01
FexOy + yH2 -> xFe + yH2O
Fe + 2HCl -> FeCl2 + H2
\(\)0.02 0.02 \(\)
Cu + HCl -> (không phản ứng)
nH2 = 0.02mol => mFe = 1.12g
=> mCu = 1.76 - 1.12 = 0.64g => nCu = 0.01mol
=> mCuO = 0.8g => mFexOy = 2.4 - 0.8 = 1.6g
Ta có: 56x + 16y -> 56x
1.6g -> 1.12g
=> \(1.6\times56x=1.12\times\left(56x+16y\right)\)
=> \(26.88x=17.92y\Leftrightarrow\dfrac{x}{y}=\dfrac{2}{3}\)
=> Fe2O3
\(log_{\sqrt{x}}y=\dfrac{2y}{5}\Rightarrow2log_xy=\dfrac{2y}{5}\) \(\Rightarrow log_xy=\dfrac{y}{5}\)
\(log_{\sqrt[3]{5}}x=\dfrac{15}{y}\Rightarrow3log_5x=\dfrac{15}{y}\Rightarrow log_5x=\dfrac{5}{y}\)
\(\Rightarrow log_xy=\dfrac{1}{log_5x}=log_x5\Rightarrow y=5\)
\(\Rightarrow log_5x=\dfrac{5}{5}=1\Rightarrow x=5\)
\(\Rightarrow x^2+y^2=25+25=50\)
Xét (I) có
\(\widehat{BAC}=\dfrac{1}{2}\widehat{BIC}\)
nên \(\widehat{BIC}=2\cdot31^0=62^0\)
Xét (K) có
\(\widehat{DIE}=\dfrac{1}{2}\cdot\widehat{DKE}\)
nên \(\widehat{DKE}=2\cdot62^0=124^0\)