1) ABC is a triangle where M is the midpoint of segment BC.

MD and ME are two bisectors of triangles AMB and AMC respectively.

If AM= m; BC = a . Then DE = ???

2)\(\dfrac{1}{\left(x+29\right)^2}+\dfrac{1}{\left(x+30\right)^2}=\dfrac{5}{4}\)

What is the product of all real solutions to the equation above?

3) The sum of all possible natural numbers n such that

\(n^2+n+1589\) is a perfect square is.....

4) Given that x is a positive integer such that x and x+99 are perfect squares

The sum of integer x is ...

5)The operation @ on two numbers produces a number equal to their sum minus 2. The value of

(...((1@2)@3....@2017)

6) Given f(x)=\(\dfrac{x^2}{2x-2x^2-1}\)

=> \(f\left(\dfrac{1}{2016}\right)+f\left(\dfrac{2}{2016}\right)+f\left(\dfrac{3}{2016}\right)+...+f\left(\dfrac{2016}{2016}\right)\)

Các bn giúp mk vs >>> tks nha!!!

Listen and repeat. Pay attention to the fall-rise intonation () in the following sentences.

1. Would you like a cup of tea? 

2. Why don‘t you answer your phone? 

3. Would you like me to help you install the soltware? 

4. Can you show me the money-management app you told me about? 

You may know that Asian,Middle Eastern and Mediterranean cultures have(1.TRADITION)...used garlic in their dishes.What you may not know is that garlic is also thought of as a(2.VALUE)...medicine by many ancient civilizations.Today,(3.PROFESSION)...in the field of nurtrition have come up with new information which is indeed quiet(4.SURPRISE)....Apparently,not only is garlic good for you but it also helps overcome various(5.ILL)....The man(6.ADVANTAGE)...to eating parsley,which is a natural deodorizer,also helps(8.MINIUM)...the smell.Thus,it's time we took the benefits of garlic(9.SERIOUS)....Why not add to some of your(10.FAVOUR)...dishes.

_{Answer the given questions:}

_{Question 1: Which alphabet will be the 14^th to the left of the 8^th alphabet from the right in the following series of letters?}

_{Question 2: Hedwig and Aimee are a married couple. Jack and John are brothers. Jack is the brother of Hedwig. How is John related to Aimee?}

_{Question 3: Find the missing alphabet in the following series?}

_{Question 4: It occurs once in a minute, twice in a moment, but never in an hour. What is it?}

_{Question 5: Michelle's mother has five daughters: Reena, Teena, Sheena and Sheela. Who is the fifth daughter?}

_{Question 6: Voldemort had twenty-one hens. all but eleven died, how many hens are Voldemort left with?}

_{Question 7: There are two ducks in front of a duck, two ducks behind a duck and a duck in the middle. How many ducks are there?}

_{Question 8: Five people were eating apples, A finished before B, but behind C. D finished before E, but behind B. What was the finishing order?}

_{Question 9: The day before two days after the day before tomorrow is Saturday. What day is it today?}

help me !!!!!!!!!

Question 1:
Compare:   

Question 2:
Compare: A =  and B = 
Answer: A  B

Fill in the blank with the suitable number

Question 3:
The perimeter of the following rectangle in centimeter is  cm
 

Question 4:
 =  

Question 5:
 =  

Question 6:
The sum of denominator and numerator of a fraction is 91 and the fraction is equal to . The denominator of the fraction is 

Question 7:
The sum of two consecutive odd numbers is 2016. The greater number is 

Question 8:

The value of n is 

Question 9:
In the following figure, ABED and BCFE are square. If the perimeter of the rectangle ACFD is 54cm then its area is  
 

Question 10:
The sum of the page number of the last 3 pages of a book is 369. What is the last page number?
Answer: The last page number is 

Read the following passage and mark the letter A,B,C or D on your answer sheet to indicate the correct word or phrase for each of blanks. Fill in the appropriate word in question 54

When you read something in a foreign language, you frequently come across words you do not (45)______ understand. Sometimes you (46)______ the meaning in a dictionary and sometimes you guess. The strategy you adopt depends very much upon the (47)______of accuracy you require and the time at your disposal. If you are the sort of person who tends to turn to the dictionary frequently, it is (48)_______remembering that every dictionary has its limitations. Each definition is only an approximation and one builds up an accurate picture of the meaning of a word only after meeting it in a (49)__________of contexts. It is also important to recognize the special dangers of dictionaries that translate from English into your native language and vice versa. If you must use a dictionary, it is usually far safer to (50)________an English- English dictionary. In most exams you are not permitted to use a dictionary. (51)__________you are allowed to use one, it is very time- consuming to look up words, and time in exams is usually limited. You are, (52)______, forced to guess the meaning of unfamiliar words. When you come across unknown words in an exam text, it is very easy to panic. However, if you develop efficient techniques for guessing the meaning, you will(53)__________a number of possible problems and help yourself to understand far more of the text than you at first likely. Two strategies which may help you guess the meaning of a word are: using contextual clues, both within the sentence and outside, and making uses (54)_____ clues derived from the formation of the word.

A. on

B. about

C. of

D. with

Question 1: Find the highest common factor of 147x and 98y if HCF(x;y)=1.
Question 2: In a magic triangle, each of the six whole numbers 10; 11; 12; 13; 14; 15 is placed in one of the circles so that the sum, S, of the three numbers on each side of the triangle is the same. The largest possible value for S is______

Question 3: A pattern of triangle is made from matches shown as follows:

If there 2017 matches used, how many triangles has been formed?

P/s: Please help me! If possible, write the detail answer! Thanks for your help!!!