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题目内容

Quantity A

$$y$$

Quantity B

$$z$$
In a triangle Δ ABC，D is a point on AC，if BD is the height of Δ ABC，then which angle could be greater than 90°？
Three angles in a triangle : ∠A < ∠B < ∠C

Quantity A

∠A+∠B

Quantity B

∠C

According to the figure above，which of the following must be true？

Indicate all such items.
In pentagon ABCDE, points M, N, P ,Q, and R are the midpoints of sides AB, BC, CD, DE, and EA, respectively.

Quantity A

The perimeter of pentagon ABCDE

Quantity B

The perimeter of pentagon MNPOR
The lengths of the two sides of the triangle are 1 and $$\sqrt{2}$$ respectively. What is the range of the length of the third side?

What is the range of x in the figure？
u,v,x,y are 4 consecutive odd integers,and 3 < u < v < x < y

Quantity A

The average of u, v, x, y

Quantity B

y-u
6 people rent a van and share the rent together. Later, there were two more people, and then each person spent $ 5 less.

Quantity A

The rent of the van each day

Quantity B

96
There are n positive integers. The sum of the integers is greater than 48. If the arithmetic average of the integers is 1.2,what is the least possible value of n?
The average of 11 different positive integers is 30. If each of the 11 integers is multiplied by 2 and get a new set with the 11 integers,what is the average of all the 22 integers?
There are three numbers: k, i and t. Among them, k is two thirds of i, and twice of t. What is the mean of three numbers?
There are two number lists with the same average: 5, 7, 9, 6, x and 4, 8, 10, 11, y.

Quantity A

x

Quantity B

y
The average of three largest number among five integers is 7 more than the average of the three least number among the five integers. How much greater is the average of the two largest number than the average of the two least number among the five integers?
The average age of male and female employees in a company is 35 and 32 years old. If the average age of all the employees is 33 years old, what is the ratio of male and female employees in the company?

Give your answer as a fraction.
A bookstore sells both new and old books. The unit price of new book is $90, the average price all the old and new books is $60, and the total price of all the old books and all the new books are the same. What is the unit price of old book?
_____dollars
There are some product C and product P with the prices of $10 each and $4 each respectively. The total number of product C and product P is 40 with the average price of $5.5. What is the number of product C?
The range of 500 measurements is 10

Quantity A

The mean(arithmetic mean)of the 500 measurements

Quantity B

The sum of 5 minimum values

Quantity A

The median of all the primes between 2 and 25, inclusive

Quantity B

The median of all the odd numbers between 2 and 25, inclusive
Among 11 numbers, the sum of the six smallest numbers is 35, while the sum of the six greatest numbers is 135. If the sum of all the 11 numbers is 127, then the median of these 11 numbers is?

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