3. are there any eggs?-No, there aren't some

4.is there any salt?- yes, there is any

5.are there any carrots?-yes, there are some

6.are there any apples?-no there aren't some

7.is there any suger?-yes, there is any

8.are there any cakes?-no there aren't some

9.is there any butter?-no. there isn't any

10. is there any mineral water?- yes. there is any

1: \(x=\dfrac{3}{4}-\dfrac{2}{4}=\dfrac{1}{4}\)

2: \(x=\dfrac{2}{11}+\dfrac{1}{5}=\dfrac{10+11}{55}=\dfrac{21}{55}\)

\(a,=\dfrac{7x-2+8x-8}{3x-2}=\dfrac{5\left(3x-2\right)}{3x-2}=5\\ b,=\dfrac{4x+3+2x-18}{2x-5}=\dfrac{3\left(2x-5\right)}{2x-5}=3\\ c,=\dfrac{5x+2+2x-7+x-1}{4x-3}=\dfrac{2\left(4x-3\right)}{4x-3}=2\\ d,=\dfrac{x^2-1+2x-11+3-2x}{x-3}=\dfrac{\left(x-3\right)\left(x+3\right)}{x-3}=x+3\\ e,=\dfrac{x^2-2x+4x+x^2+2x}{\left(x-2\right)\left(x+2\right)}=\dfrac{2x\left(x+2\right)}{\left(x-2\right)\left(x+2\right)}=\dfrac{2x}{x-2}\)

\(f,=\dfrac{x^2-5x+6+x-3+x-1}{\left(x-1\right)\left(x-2\right)\left(x-3\right)}=\dfrac{\left(x-1\right)\left(x-2\right)}{\left(x-1\right)\left(x-2\right)\left(x-3\right)}=\dfrac{1}{x-3}\)

a: Xét ΔOMA và ΔOMB có 

OM chung

MA=MB

OA=OB

Do đó: ΔOMA=ΔOMB

Suy ra: \(\widehat{AOM}=\widehat{BOM}\)

hay OM là tia phân giác của góc xOy

b: Xét tứ giác OMAP có 

N là trung điểm của OA

N là trung điểm của MP

Do đó: OMAP là hình bình hành

Suy ra: OP=AM và OP//AM