Vì \(AB//CD\) nên \(\left\{{}\begin{matrix}\widehat{B}+\widehat{C}=180^0\\\widehat{A}+\widehat{D}=180^0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}\widehat{B}=\left(180^0+40^0\right):2=110^0\\3\widehat{D}=180^0\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\widehat{C}=180^0-110^0=70^0\\\widehat{D}=60^0\end{matrix}\right.\Rightarrow\widehat{A}=120^0\)

\(\widehat{B}=110^0\)

\(\widehat{C}=70^0\)

\(\widehat{A}=120^0\)

\(\widehat{D}=60^0\)

2,Có \(\widehat{A}+\widehat{D}=180^0\) (Hai góc trong cùng phía do AB//CD)

\(\Rightarrow\widehat{D}=180^0-115^0=65^0\)

Ta có: AB//CD

nên \(\widehat{A}+\widehat{D}=180^0\)

hay \(\widehat{D}=65^0\)

\(a.n_{Zn}=\dfrac{6,5}{65}=0,1\left(mol\right)\\ Zn+2HCl\rightarrow ZnCl_2+H_2\\ b.0,1........0,2..........0,1.........0,1\left(mol\right)\\ C\%_{ddH_2SO_4}=\dfrac{0,1.98}{140}.100=7\%\\ c.m_{dd.muối}=6,5+140-0,1.2=146,3\left(g\right)\\ C\%_{ddZnCl_2}=\dfrac{136.0,1}{146,3}.100\approx9,296\%\\ \)

a.nZn=6,565=0,1(mol)Zn+2HCl→ZnCl2+H2b.0,1........0,2..........0,1.........0,1(mol)C%ddH2SO4=0,1.98140.100=7%c.mdd.muối=6,5+140−0,1.2=146,3(g)C%ddZnCl2=136.0,1146,3.100≈9,296%

Đề là gì?

a: Ta có: AH\(\perp\)BD

CK\(\perp\)BD

Do đó: AH//CK

b: Xét ΔADH vuông tại H và ΔCBK vuông tại K có 

AD=CB

\(\widehat{ADH}=\widehat{CBK}\)

Do đó: ΔADH=ΔCBK

Suy ra: AH=CK

Xét tứ giác AHCK có 

AH//CK

AH=CK

Do đó: AHCK là hình bình hành

Suy ra: AK//CH

Bn chia nhỏ đề ra cho mn làm nha

30: Ta có: \(5x-5y+ax-ay\)

\(=5\left(x-y\right)+a\left(x-y\right)\)

\(=\left(x-y\right)\left(a+5\right)\)

31: Ta có: \(6x^2-11x+3\)

\(=6x^2-9x-2x+3\)

\(=\left(2x-3\right)\left(3x-1\right)\)