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If $$p \gt 0$$ and $$q-p=2$$, then $$\frac{q^2-1}{p+1}=$$
a \lt b

Quantity A

$$b-a$$

Quantity B

$$b+a$$


$$0 \lt3x \lt 2x^2$$

Quantity A

$$x$$

Quantity B

$$\frac{3}{2}$$


In the xy-plane, the slope of line p is $$\frac{1}{2}$$.

Quantity A

The slope of a line that is perpendicular to line p

Quantity B

$$1$$


In the xy-plane, the vertices of triangle RST have coordinates $$(-k, k), (k, 2k)$$, and $$(k+2, k)$$, as shown. What is the area of triangle RST in terms of $$k$$?
If lines s and t shown are parallel, how many points in the plane of these lines are equidistant from all three lines?

Quantity A

$$x+y$$

Quantity B

$$200$$


Triangle RST is an isosceles triangle, and the degree measure of angle $$S$$ is greater than the degree measure of angle $$R$$.

Quantity A

$$RS$$

Quantity B

$$ST$$


In triangle $$RST$$, the measure of angle R is $$60°$$ and the measure of angle T is $$45°$$. lf p is a point on line segment $$RT$$ such that $$SP⊥RT$$, the length of which of the following line segments is least?
In the figure the small rectangular region represents a flower garden with dimensions $$x$$ feet by $$y$$ feet, and the shaded region between the two rectangles shown represents a walkway 4 feet wide around three sides of the garden. Which of the following represents the area of the walkway, in square feet?
The circle shown has center O and radius 27.

Quantity A

The length of arc RST

Quantity B

$$15π$$




The two circles in the figure shown have a common center at O, the area of the shaded region is 40π, and the measure of angle AOC is $$90°$$.

Quantity A

The circumference of the smaller circle

Quantity B

The length of arc ABC


Nineteenth-century England presents something of (i)_____________, at least to those who believe that (ii)_____________ best promotes business ethics. The defining characteristic of English company law at that time was its extreme degree of permissiveness: laissez-faire ruled in Parliament, caveat emptor in the courts, creating the ideal breeding ground for fraud and dishonesty. Yet these were the years when London became the financial center of the world and established its status as a (iii)_____________ place to do business.

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