6: Qua C, kẻ tia CM nằm giữa hai tia CA và CD sao cho CM//DE//AB

CM//DE

=>\(\hat{MCD}=\hat{CDE}\) (hai góc so le trong)

=>\(\hat{MCD}=60^0\)

Ta có: tia CM nằm giữa hai tia CA và CD

=>\(\hat{ACM}+\hat{DCM}=\hat{ACD}\)

=>\(\hat{ACM}=110^0-60^0=50^0\)

Ta có: CM//AB

=>\(\hat{BAC}=\hat{ACM}\) (hai góc so le trong)

=>\(\hat{BAC}=50^0\)

BÀi 5:

Qua B, kẻ tia BM nằm giữa hai tia BA và BC sao cho BM//Ax

BM//Ax

=>\(\hat{xAB}+\hat{ABM}=180^0\) (hai góc trong cùng phía)

=>\(\hat{ABM}=180^0-120^0=60^0\)

Ta có: tia BM nằm giữa hai tia BA và BC

=>\(\hat{ABM}+\hat{CBM}=\hat{ABC}\)

=>\(\hat{CBM}=140^0-60^0=80^0\)

Ta có: \(\hat{CBM}+\hat{BCy}=80^0+100^0=180^0\)

mà hai góc này là hai góc ở vị trí trong cùng phía

nên BM//Cy

mà BM//Ax

nên Ax//Cy

c. \(\left|\dfrac{8}{4}-\left|x-\dfrac{1}{4}\right|\right|-\dfrac{1}{2}=\dfrac{3}{4}\)

\(\Rightarrow\left[{}\begin{matrix}\left|\dfrac{8}{4}-x+\dfrac{1}{4}\right|-\dfrac{1}{2}=\dfrac{3}{4}\\\left|\dfrac{8}{4}+x-\dfrac{1}{4}\right|-\dfrac{1}{2}=\dfrac{3}{4}\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}\left|\dfrac{9}{4}-x\right|-\dfrac{1}{2}=\dfrac{3}{4}\\\left|\dfrac{7}{4}+x\right|-\dfrac{1}{2}=\dfrac{3}{4}\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}\left[{}\begin{matrix}\dfrac{9}{4}-x-\dfrac{1}{2}=\dfrac{3}{4}\\x=\dfrac{9}{4}-\dfrac{1}{2}=\dfrac{3}{4}\end{matrix}\right.\\\left[{}\begin{matrix}\dfrac{7}{4}+x-\dfrac{1}{2}=\dfrac{3}{4}\\-\dfrac{7}{4}-x-\dfrac{1}{2}=\dfrac{3}{4}\end{matrix}\right.\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}\left[{}\begin{matrix}x=1\\x=\dfrac{7}{2}\end{matrix}\right.\\\left[{}\begin{matrix}x=-\dfrac{1}{2}\\x=-3\end{matrix}\right.\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=1\\x=\dfrac{7}{2}\\x=-3\end{matrix}\right.\) 

Ở nơi x=9/4-1/2 là x-9/4-1/2 nha

a. -1,5 + 2x = 2,5

<=> 2x = 2,5 + 1,5

<=> 2x = 4

<=> x = 2

b. \(\dfrac{3}{2}\left(x+5\right)-\dfrac{1}{2}=\dfrac{4}{3}\)

<=> \(\dfrac{3}{2}x+\dfrac{15}{2}-\dfrac{1}{2}=\dfrac{4}{3}\)

<=> \(\dfrac{9x}{6}+\dfrac{45}{6}-\dfrac{3}{6}=\dfrac{8}{6}\)

<=> 9x + 45 - 3 = 8

<=> 9x = 8 + 3 - 45

<=> 9x = -34

<=> x = \(\dfrac{-34}{9}\)

Câu nào bạn ơi

Câu 19,20

Bài 5:

N=(x-y)(x-2y)(x-3y)(x-4y)\(+y^4\)

\(=\left(x^2-5xy+4y^2\right)\left(x^2-5xy+6y^2\right)+y^4\)

\(=\left(x^2-5xy\right)^2+10y^2\left(x^2-5xy\right)+24y^4+y^4\)

\(=\left(x^2-5xy\right)^2+2\left(x^2-5xy\right)\cdot5y^2+\left(5y^2\right)^2\)

\(=\left(x^2-5xy+5y^2\right)^2\)

=>N là số chính phương

BÀi 3:

a: \(6x^2-\left(2x-3\right)\left(3x+2\right)=1\)

=>\(6x^2-\left(6x^2+4x-9x-6\right)=1\)

=>\(6x^2-\left(6x^2-5x-6\right)=1\)

=>5x+6=1

=>5x=1-6=-5

=>x=-1

b: \(\left(x+1\right)^3-\left(x-1\right)\left(x^2+x+1\right)-2=0\)

=>\(x^3+3x^2+3x+1-\left(x^3-1\right)-2=0\)

=>\(x^3+3x^2+3x-1-x^3+1=0\)

=>\(3x^2+3x=0\)

=>3x(x+1)=0

=>x(x+1)=0

=>x=0 hoặc x=-1

9. Has the work been done by him?

10. The boxes were opened and cigarettes were taken out by us

11. She was given a new one

12. He is proved wrong

13. We were promised higher wages

14. This is the third time we have been written to about this by them

15. We were asked to be there at 8 o'clock

16. She is being shown how to do it

GIÚP MIK VS NHA:(((((

CẢM ƠN RẤT NHIỀU

MN XONG CÂU NÀO THÌ CỨ GỬI LUÔN CHO MIK CÂU ĐÓ NHA;-;

MIK CÒN CHÉP KỊP

:(((((((((((((( NHANHH NHANH GIÚP MIK Ạ

Câu 1:

\(a,\dfrac{x}{4}=\dfrac{y}{7}=\dfrac{x-y}{4-7}=\dfrac{-15}{-3}=5\\ \Rightarrow\left\{{}\begin{matrix}x=20\\y=35\end{matrix}\right.\\ b,\dfrac{x}{3}=\dfrac{y}{5}=\dfrac{x+y}{3+5}=\dfrac{-32}{8}=-4\\ \Rightarrow\left\{{}\begin{matrix}x=-12\\y=-20\end{matrix}\right.\\ c,\dfrac{x}{2}=\dfrac{y}{3}=\dfrac{z}{5}=\dfrac{x+y+z}{2+3+5}=\dfrac{-90}{10}=-9\\ \Rightarrow\left\{{}\begin{matrix}x=-18\\y=-27\\z=-45\end{matrix}\right.\\ d,\dfrac{x}{4}=\dfrac{y}{2}=\dfrac{z}{7}=\dfrac{2x-4y+3z}{8-8+21}=\dfrac{42}{21}=2\\ \Rightarrow\left\{{}\begin{matrix}x=8\\y=4\\z=14\end{matrix}\right.\)

\(e,\dfrac{x}{5}=\dfrac{y}{6}=\dfrac{z}{7}=\dfrac{z-x}{7-5}=\dfrac{30}{2}=15\\ \Rightarrow\left\{{}\begin{matrix}x=75\\y=90\\z=105\end{matrix}\right.\\ f,\Rightarrow\dfrac{x}{3}=\dfrac{y}{5};\dfrac{x}{4}=\dfrac{z}{3}\Rightarrow\dfrac{x}{12}=\dfrac{y}{20}=\dfrac{z}{9}=\dfrac{x-y-z}{12-20-9}=\dfrac{-68}{-17}=4\\ \Rightarrow\left\{{}\begin{matrix}x=48\\y=80\\z=36\end{matrix}\right.\\ g,\Rightarrow\dfrac{x}{6}=\dfrac{y}{4}=\dfrac{z}{3}=\dfrac{x+y+z}{6+4+3}=\dfrac{65}{13}=5\\ \Rightarrow\left\{{}\begin{matrix}x=30\\y=20\\z=15\end{matrix}\right.\\ h,\Rightarrow\dfrac{x}{4}=\dfrac{y}{6};\dfrac{y}{5}=\dfrac{z}{8}\Rightarrow\dfrac{x}{20}=\dfrac{y}{30}=\dfrac{z}{48}=\dfrac{5x-3y-3z}{100-90-144}=\dfrac{-536}{-134}=4\\ \Rightarrow\left\{{}\begin{matrix}x=80\\y=120\\z=192\end{matrix}\right.\)