Bài 2: Chọn C

Bài 4: 

a: \(\widehat{C}=180^0-80^0-50^0=50^0\)

Xét ΔABC có \(\widehat{A}=\widehat{C}< \widehat{B}\)

nên BC=AB<AC

b: Xét ΔABC có AB<BC<AC

nên \(\widehat{C}< \widehat{A}< \widehat{B}\)

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

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

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

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

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

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

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: \(6x^2-11x+3\)

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

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

1 My parents go shopping twice a week

2 Hoa's house has a balcony

3 My brother usually plays badminton with his friends

4 My favorite book is Tam and Cam. What is yours?

5 There are 10 pencil cases on the table

1, My parents go shopping twice a week.

2, Hoa's house has a balcony.

3, My brother usually plays badminton with his friends.

4, My favorite book is Tam and Cam. What's yours?

5, There are ten pencil cases on the table.

Bài 4: 

a: Ta có: \(\widehat{OAB}=\widehat{ODC}\)

\(\widehat{OBA}=\widehat{OCD}\)

mà \(\widehat{ODC}=\widehat{OCD}\)

nên \(\widehat{OAB}=\widehat{OBA}\)

hay ΔOAB cân tại O

(-35) + 23 – (-35) - 47

=(-35+35)+(23-47)

=0+(-24)

=-24

Đáp án : -24

n=231

a: Ta có: \(\dfrac{n\left(n+1\right)}{2}=231\)

\(\Leftrightarrow n^2+n-462=0\)

\(\Leftrightarrow n^2+22n-21n-462=0\)

\(\Leftrightarrow\left(n+22\right)\left(n-21\right)=0\)

\(\Leftrightarrow n=21\)

1 + 2 + 3 + 4 + ...... n = 231

n =