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The side of square A and B is 1.

Quantity A

The greatest possible slope when drawing a line through one vertex of each square

Quantity B

$$\frac{4}{3}$$


In the rectangular coordinate system, a certain line has slope 3. Which of the following pairs of points could be on the line?
In the xy-plane, the coordinates of point A is (3, 4), while the coordinates of point B is (x, y). The distance between point A and B is 5. (x≠3)

Quantity A

The slope of line AB

Quantity B

$$\frac{4}{3}$$


In the xy-plane, line m intersects the y-axis above the origin and intersects the x-axis to the right of the origin. The distance between the x- and y-intercepts of line m is 5. If the ratio of the distance between the origin and the x-intercept to the distance between the origin and the y-intercept is 4 to 3, which of the following is an equation of line m?
Line segment AB is a diameter of a circle. If the coordinates of point A and point B are (0, 2) and (6, 0), respectively, then what is the area of the circle?
w < 45



Quantity A

m

Quantity B

n


In the xy-plane, triangular region R is bounded by the lines x = 0, y = x, and y=-x+5. Which of the following points lie inside region R ?

Indicate all such points
In the xy-plane, a circle with radius $$4$$ has its center at the point $$(-1, 2)$$ Which of the following is an equation of the circle?
In the xy-plane, the circle with radius 50 and center (0, 0) passes through which of the following points?

Indicate all such points.


Quantity A

y

Quantity B

110




Quantity A

The length of line segment AB

Quantity B

The length of line segment DC




In the figure below, BC is parallel to AD.

Quantity A: The length of AB

Quantity B: The length of DC
Polygon P has n sides (n>4).

Quantity A

180 more than the sum of the degree measures of the interior angles of P

Quantity B

The sum of the degree measures of the interior angles of a polygon with n+1 sides




A regular hexagon is inscribed inside the circle with a diameter of d

What is the perimeter of the hexagon?
If the perimeter of a regular hexagon inscribed inside a circle is 12, then what is the perimeter of an equilateral triangle inscribed inside the same circle?
A regular octagon is inscribed inside a square. If the perimeter of the square is 400, then what is the perimeter of the regular octagon?


In square MNOP shown, the two shaded square regions have areas in the ratio 9 to 1. If square region MNOP has area 144, what is the area of each of the two unshaded rectangular regions?


The figure above consists of 3 semicircles and an equilateral triangle with sides of length 8. Each side of the triangle is a diameter of a semicircle.

Quantity A

The combined area of the 4 shaded regions

Quantity B

96


In the parallelogram below, x < 90.



Quantity A

The area of the parallelogram

Quantity B

50




What's the height?

Give your answer as a fraction.

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