1. He went to the park with his parents yesterday morning

2. It is the best book I have ever read

Ta có \(\left(2n+3\right)⋮n\) mà \(2n⋮n\) \(\Rightarrow3⋮n\) \(\Rightarrow n\inƯ\left(3\right)\)

\(\Rightarrow n\in\left\{1;-1;3;-3\right\}\)

mà \(n\in N\Rightarrow n\in\left\{1;3\right\}\)

What time do classes begins?

What time do classes begin?

There isn't any books on the table
There aren't any books on the table

She have two books and there notebooks in the bag

She has two books anh three notebooks un the bag

In weekends, we usually stay at home

On weekends, we usually stay at home

\(\left(2^2+4\right).2^n=32\)

\(\Rightarrow2^3.2^n=2^5\)

\(\Rightarrow2^n=2^2\)

\(\Rightarrow n=2\)

Bài 1.

a) Ta có \(\left\{{}\begin{matrix}AD\perp AC\\BE\perp AC\end{matrix}\right.\) \(\Rightarrow AD//BE\)

b) Vì \(\text{ ∠}FDA+\text{ ∠}DFC=70+110=180\) mà hai góc này ở vị trí góc trong cùng phía nên \(AD//CF\)

Mặt khác, \(AD\perp AC\) ( gt )

\(\Rightarrow AC\perp CF\)

c) Ta có \(\left\{{}\begin{matrix}BE//AD\\CF//AD\end{matrix}\right.\) \(\Rightarrow BE//CF\)

Ta có \(5⋮\left(n+1\right)\Rightarrow\left(n+1\right)\inƯ\left(5\right)=\left\{1;-1;5;-5\right\}\)

\(\Rightarrow n\in\left\{0;-2;4;-6\right\}\)

mà \(n\in N\Rightarrow n\in\left\{0;4\right\}\)

\(\dfrac{2x+1}{x-1}=\dfrac{5\left(x-1\right)}{x+1}\)

\(\Rightarrow\left(2x+1\right)\left(x+1\right)=5\left(x-1\right)^2\)

\(\Rightarrow2x^2+3x+1=5x^2-10x+5\)

\(\Rightarrow3x^2-13x+4=0\)

\(\Rightarrow\left(x-4\right)\left(x-\dfrac{1}{3}\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}x-4=0\\x-\dfrac{1}{3}=0\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=4\\x=\dfrac{1}{3}\end{matrix}\right.\)

Student at our school participate in a lot of of outdoor activities?

Student at our school take part in a lot of outdoor acitivities

The baby is so cute !

What a cute baby !

Robot/go to the market/ take care of children

Robot can go to the market and take care of children

We tried our best to play well . We didin't win the match

We didn't win the match although we tried our best to play well

Susan likes swimming most

Susan's favourite sport is swimming

It's not good to throw old clothes away

Throwing old clothes away is not good

Ann preferred going out , but she stayed at home( although)

Nga stayed at home although she preferred going out

Colin spoke English quickly . We could understand him(although)

Although Colin spoke English quickly, we could understand him

23. Because I am too poor, I cannot buy this house.
=> Because of the poverty/being too poor, I cannot buy this house.
24. Because the dress was so beautiful, I bought it.
=> Because of the beautiful dress, I bought it.
25. Because the dog was too aggressive, the children were scared.
=> Because of the aggressive dog, the children were scared.
26. She’s so ugly that no one wants to play with her.
=> She is such an ugly girl that no one wants to play with her.
27. Rain was so heavy that the streets were flooded.
=> Because rain was heavy, the streets were flooded.
28. He tried very hard. As a result, he passed a master’s degree
=> Because he tried hard, he passed a master's degree.
29. This shirt is torn. Therefore, I take it for repairs.
=> Because this shirt is torn, I take it for repairs.

8. The train came late because it was foggy.

Because of fog, the train came late

9. All the teachers love him because his conduct is good.

Because of his good product, all the teachers love him

10. We stopped our car because the traffic light turned red.

Due to the red traffic light, we stopped our car

11. Many families break up because of a lack of money.

Many families break up because they lack money

12. Because of an explosion of gas line, several houses burned down.

Because gas line exploded, several houses burned down

13. We postponed our trip because of the bad driving conditions.

Because driving conditions was bad, we postponed our trip

14. I could not make a good choice because of many advertisements.

I could not make a good choice because there were many advetisments

15. Rice plants grow well because the climate is warm and damp.

Rice plants grow well because of the warm and damp weather

16. We have to cut down on our driving because of the oil shortage.

We have to cut down on our driving because there is an oil shortage

17. The World Trade Center fell down because it was attacked by terrorists.

The World Trade Centre fell down because of the attack of the terrorists