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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


$$m, n, p, r,$$ and t are integers. $$0 \lt m \lt n \lt p \lt r \lt t $$

Quantity A

The median of $$m, n, p, r,$$ and $$t$$

Quantity B

$$\frac{m+n+p+r+t}{5}$$


In the rectangular solid shown, $$BF=5$$ and $$AF=3$$ . If the volume of the rectangular solid is 84, what is the sum of the areas of $$△FGH$$ and $$△DEH$$ ?
$$-6, |-8|, 4, \sqrt17, 7$$
How many of the five numbers shown have the property that the square of the number is 4 more than a multiple of 5?
The sum of an integer $$k$$ and the square of $$k$$ CANNOT be a
A string of decorative lights consists of red, green and blue bulbs. The red bulbs flash every $$4$$ seconds, the green bulbs flash every $$6$$ seconds, and the blue bulbs flash every $$9$$ seconds. If all the lights flash simultaneously when the string is first lit, how many seconds will it take until all the lights flash simultaneously the next time?

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