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In the figure, the perimeter of quadrilateral RSTW is 34. What is the perimeter of triangle STW?
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 the figure above, triangle ACD is equilateral. Which of the following lengths can be determined from the information given?
Indicate all such lengths.
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
Triangle T is equilateral and has a height of 20, and triangle W is isosceles and has a height of 20.

Quantity A

The area of the isosceles triangle T

Quantity B

The area of the equilateral triangle W


If $$y=\frac{x+w}{2}$$ , 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 $$\frac{r+s}{rs}$$?
$$\frac{2}{x}$$=$$\frac{y}{2}$$ (x and y are both integers)

Quantity A

x

Quantity B

y


If z=$$\frac{x}{y}$$, w= $$\frac{x}{x+y}$$, and 0 < x < y, what is w in terms of z?
$$\frac{a+1}{b-1}=\frac{5}{7}$$

Quantity A

$$\frac{a}{b}$$

Quantity B

$$\frac{1}{2}$$


1 pound tea can make 210 cups of tea and 1 pound coffee can make 40 cups of coffee. The number of cups of coffee sold by a restaurant is 12 times as many as the number of cups of tea sold. What is the ratio of the pounds of tea to pounds of coffee?

Give your answer as a fraction.

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