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The figure above is a regular hexagon.


Quantity A

P

Quantity B

Q



Quantity A

a

Quantity B

60°



Quantity A

The perimeter of ABCD

Quantity B

The sum of the lengths of diagonals AC and BD





a=b, FD||BC

Quantity A

The area of △ABC

Quantity B

The area of △DEF



AB=8, BC=12. The perimeter of the quadrilateral ABCD is 34. If AB=AC, then what is the perimeter of △ADC?
The length of the three sides of a triangle is 13, 13 and 10

Quantity A

The area of the triangle

Quantity B

65



In △ABC, AB=2, △ABD is an equilateral triangle. Which of the following side can be known?
Indicate all such sides.
Two sides of an isosceles triangle have lengths 5 and 5.
Quantity A: The perimeter of the triangle
Quantity B: 15

What is the value of x?

Quantity A: a
Quantity B: b

In the figure above, the length of BE is 4, and the length of CF is 3, what is the perimeter of triangle ABC?

The x-coordinate of A is 0.5, the x-coordinate of B is 2, while their y-coordinates are the same.

Quantity A

x-coordinate of C

Quantity B

1.75


An equilateral triangle has a side of 6
Quantity A: The area of the triangle
Quantity B: 18
Both an isosceles triangle and an equilateral triangle have a height of 20

Quantity A

The area of the isosceles triangle

Quantity B

The area of the equilateral triangle


y=$$\frac{x+w}{2}$$ , what is w-y in terms of x and y?
$$x=\frac{a+\frac{b}{d}}{\frac{d}{c}}$$

Which one of a, b, c, d doubles, so that x will also double?
k is an integer

Quantity A

$$\frac{k^{2}+1}{k^{2}}$$

Quantity B

$$\frac{k^{3}+1}{k^{3}}$$


Quantity A

(1-$$\frac{1}{100}$$)*(1+$$\frac{1}{101}$$)*(1-$$\frac{1}{102}$$)*(1+$$\frac{1}{103}$$) *(1-$$\frac{1}{104}$$)

Quantity B

1


$$\frac{2}{23}$$ < x < $$\frac{2}{21}$$

Quantity A

$$\frac{2}{22}$$

Quantity B

x


2 ≤ r < s ≤ 6

If r and s are both integers, then what`s the greatest possible value of $$\frac{r+s}{rs}$$?

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