We must replace the loudspeakers. The current ones aren’t satisfactory. (since)
Lena was unable to swim. Lena didn’t want to go to the pool party. (as)
An elephant is the largest land mammal. An elephant may live 70 years. (which)

Giải phương trình :

\(\frac{1}{\sqrt{x+3}+\sqrt{x+2}}+\frac{1}{\sqrt{x+2}+\sqrt{x+1}}+\frac{1}{\sqrt{x+1}+\sqrt{x}}=1\)

Interestingly, despite the fact that Chaplin came from Britain, he was much more popular in other countries than in his own mother country. The truth is that most English people (31)_________The Tramp a little crude. It was generally thought by them that he had too much of an eye for the ladies, and that his clothes gave him an appearance more (32)_________an Italian waiter than anything else. All in all the image was not gentleman-like according to many English people.
However, the silent movies helped Chaplin to conceal his true nationality (33)_________American audiences. He put off making a talking movie until 1936 when he made up a nonsense (34)_________which sounded like no known nationality. He once said he thought of the Tramp as an educated man who had fallen on hard times. The truth is, however, that he was probably popular because he (35)_________as a character who revolted against the privileged classes.
31. A. considered B. treated C. agrreed D. approved
32. A. alike B. like C. liking D. unlike
33. A. to B. with C. for D. from
34. A. language B. speech C. talking D. sentence
35. A. saw B. was seeing C. was seen D. is seen

kyle completed his homework. he put it in his school bag (and)

i was on time. everyone else was late (but)

i get very annoyed with those people. they don't queue at the public places (who)

A good education is essential for success in life. He believes this (believes)

Melbourne is bigger than Canberra, Australia's capital =>Canberra, Australia's capital, is not ......

There is a variety of employment opportunities in big cities. =>Big cities .....

His handcrafted product looks similar to mine =>I think ......

He can be very upset. Probably his employer turns down his offer (if)

My father owned a chain of famous restaurants in Chicago. Now he sold all (used)

He just made up the story. I don't believe a word he said (because)

Doing the same work for a long time is not interesting (boring)

My father no longer smokes cigar (used)

It took my father half an hour to get to work by bike last year (spent)

It isn't necessary to finish the work today (need)

It is said that health is the most important in daily life => Health ......

Green Craft has a lot of difficulities. It works to improve its productivity, designs and samples => Although .....

It was a great summer. I will never forget that summer (such)

the bird covered the nest with her wings. she wanted to protect her eggs (order)

i was very surprised at the news. she didn't pass the exam (passing)

Cho đường tròn (O ; R) đường kính BC. Gọi A là điểm chính giữa của cung BC. Điểm M thuộc đoạn BC. Kẻ ME vuông góc AB, MF vuông góc AC, MN vuông góc EF tại N.

a. Chứng minh năm điểm A, E, O, M, F thuộc một đường tròn.

b. Chứng minh BE.BA = BO.BM.

c. Tiếp tuyến của đường tròn (O; R) tại A cắt MF tại K. Chứng minh BE =KF.

d. Khi M di chuyển trên BC, chứng minh MN luôn đi qua một điểm cố định.

Cho đường tròn (O), dây BC cố định. Trên cung lớn BC của (O), lấy điểm A sao cho AB<AC. Hai tiếp tuyến qua B và C của (O) cắt nhau tại E. Chứng minh

a) Tứ giác BOCE nội tiếp
b) AE cắt (O) tại D. Chứng minh \(EB^2=ED.EA\)
c) Gọi F là trung điểm AD. Đường thẳng qua D và song song với EC cắt BC tại G. Chứng minh GF song song với AC
d) Trên tia đối AB lấy điểm H sao cho AH=AC. Chứng minh khi điểm A thay đổi trên cung lớn BC thì điểm H di động trên 1 đường tròn cố định