-my friend is traveling abroad so much. 
-Tom is doing his job well.
-he has an art class for more than 120 minutes.
-what toys are their favorite?
-What is the distance from your house to Van Hanh mall?
-how old are you
-37. mình không thấy
-what is your father's job?
 

Bài 6:

Xét ΔOAC vuông tại A và ΔOBD vuông tại B có

OA=OB

\(\widehat{AOC}=\widehat{BOD}\)(hai góc đối đỉnh)

Do đó: ΔOAC=ΔOBD

=>OC=OD

Bài 7:

a: Ta có: \(\widehat{DAB}+\widehat{BAC}+\widehat{CAE}=180^0\)

=>\(\widehat{DAB}+\widehat{CAE}+90^0=180^0\)

=>\(\widehat{DAB}+\widehat{CAE}=90^0\)

mà \(\widehat{DAB}+\widehat{DBA}=90^0\)

nên \(\widehat{DBA}=\widehat{CAE}\)

Xét ΔABD vuông tại A và D và ΔCAE vuông tại E có

AB=AC

\(\widehat{DBA}=\widehat{EAC}\)

Do đó: ΔABD=ΔCAE

b: ta có: ΔABD=ΔCAE

=>DB=AE và AD=CE

DB+CE=DA+AE=DE

Bài 16: 

a: Ta có: \(P=\left(\dfrac{\sqrt{a}+1}{\sqrt{ab}+1}+\dfrac{\sqrt{ab}+\sqrt{a}}{\sqrt{ab}-1}-1\right):\left(\dfrac{\sqrt{a}+1}{\sqrt{ab}+1}-\dfrac{\sqrt{ab}+\sqrt{a}}{\sqrt{ab}-1}+1\right)\)

\(=\dfrac{a\sqrt{b}-\sqrt{a}+\sqrt{ab}-1+ab+\sqrt{ab}+a\sqrt{b}+\sqrt{a}-ab+1}{\left(\sqrt{ab}+1\right)\left(\sqrt{ab}-1\right)}:\dfrac{a\sqrt{b}-\sqrt{a}+\sqrt{ab}-1-ab-\sqrt{ab}-a\sqrt{b}-\sqrt{a}+ab-1}{\left(\sqrt{ab}+1\right)\left(\sqrt{ab}-1\right)}\)

\(=\dfrac{2a\sqrt{b}+2\sqrt{ab}}{-2\sqrt{a}-2}\)

\(=\dfrac{2\sqrt{ab}\left(\sqrt{a}+1\right)}{-2\left(\sqrt{a}+1\right)}\)

\(=-\sqrt{ab}\)

a.

\(\%_{Fe_{\left(Fe_2O_3\right)}}=\dfrac{56.2}{160}.100\%=70\%\)

\(\%_{O_{\left(Fe_2O_3\right)}}=100\%-70\%=30\%\)

b.

\(\%_{C_{\left(C_6H_{12}O_6\right)}}=\dfrac{12.6}{180}.100\%=7\%\)

\(\%_{H_{\left(C_6H_{12}O_6\right)}}=\dfrac{1.12}{180}.100\%=6,7\%\)

\(\%_{O_{\left(C_6H_{12}O_6\right)}}=100\%-7\%-6,7\%=86,3\%\)

c.

\(\%_{C_{\left(\left(C_6H_{10}O_5\right)_n\right)}}=\dfrac{12.6}{162n}.100\%=44,4n\%\)

\(\%_{H_{\left(\left(C_6H_{10}O_5\right)_n\right)}}=\dfrac{1.10}{162n}.100\%=6,2n\%\)

\(\%_{O_{\left(C_6H_{1o}O_5\right)}}=\dfrac{16.5}{162n}.100\%=49,4n\%\)

\(\Rightarrow49,4n\%=100\%-44,4n\%-6,2n\%\)

\(\Leftrightarrow n=1\)

\(\Rightarrow\left\{{}\begin{matrix}\%_C=44,4\%\\\%_H=6,2\%\\\%_O=49,4\%\end{matrix}\right.\)

d. 

\(\%_{Na_{\left(NaCl\right)}}=\dfrac{23}{58,5}.100\%=39,3\%\)

\(\%_{Cl_{\left(NaCl\right)}}=100\%-39,3\%=60,7\%\)

7:

\(19M=\dfrac{19^{31}+95}{19^{31}+5}=1+\dfrac{90}{19^{31}+5}\)

\(19N=\dfrac{19^{32}+95}{19^{32}+5}=1+\dfrac{90}{19^{32}+5}\)

\(19^{31}+5< 19^{32}+5\)

=>\(\dfrac{90}{19^{31}+5}>\dfrac{90}{19^{32}+5}\)

=>\(1+\dfrac{90}{19^{31}+5}>1+\dfrac{90}{19^{32}+5}\)

=>19M>19N

=>M>N

6:

\(B=\dfrac{3^{10}\cdot11+3^{10}\cdot5}{3^9\cdot2^4}=\dfrac{3^{10}\cdot16}{3^9\cdot16}=3\)

\(C=\dfrac{2^{10}\cdot13+2^{10}\cdot65}{2^8\cdot104}\)

\(=\dfrac{2^{10}\cdot78}{2^8\cdot2^3\cdot13}=\dfrac{2^{10}}{2^{11}}\cdot6=3\)

=>B=C