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Square EFGH is inscribed inside square ABCD.

If the perimeter of square ABCD is 48, and ∠DEH=60°, then which of the following is nearest to the perimeter of the square EFGH?


Quantity A

x

Quantity B

60
On the number line, points R, S, and T have coordinates r, s, and t, respectively, where r=2t. Point R is to the right of point S, and point T is to the left of point R.

Quantity A

t

Quantity B

s


In triangle ABC shown, AB=BC and the measure of angle BAC is 58 degrees.

Quantity A

AC

Quantity B

AB
a > 1

Quantity A

$$\frac{a}{a-1}$$

Quantity B

$$\frac{a+1}{a}$$
0 < a < b < c

r=$$\frac{a}{a+b+c}$$, s=$$\frac{b}{a+b+c}$$, and t=$$\frac{c}{a+b+c}$$.

Quantity A

The average (arithmetic mean) of r, s and t

Quantity B

$$\frac{1}{3}$$
x and y are integers

$$9^{6x}$$=$$81^{3y}$$

Quantity A

x

Quantity B

y
In a quality control study, 200 boxes of brackets were examined; each box contained 50 brackets. For each box, the ratio, f, of the number of defective brackets in the box to the total number of brackets in the box was recorded. The number of defectives per box varied from 1 to 12, inclusive.

Quantity A

The sum of the 200 values of f

Quantity B

The sum of the squares of the 200 values of f


Quantity A

r

Quantity B

12
$$T_1, T_2, T_3, ........., T_k, .........$$

The sequence shown is defined by $$T_1=2$$ and $$T_{k+1}=\frac{1}{3}T_k$$ for each positive integer k.

Quantity A

$$T_5$$

Quantity B

$$(3^{11}) T_{16}$$
Bob`s current salary is 10 percent greater than Sam`s current salary. Bob and Sam will each receive an increase to their respective salaries at the end of the year, and after the increases in their salaries will be equal. If Bob`s increase will equal 5 percent of his current salary, then Sam`s increase will be what percent of Sam`s current salary?
If $$(a+b)^{2}-6(a+b)+9=0$$, what is the value of a+b?


Which of the following gives the area of triangular region PQR in the figure above?


In the equation above, what is the value of x?

x=_____
Approximately what was the ratio of the area of the non federal rural land in Maryland to the total area of the nonfederal rural land in the contiguous United States in 1997?
Of the six states listed in the table, how many contained more than 2 percent of the nonfederal development land in the contiguous United States in 1997?
Which of the following is closest to the percent of federal land in the contiguous United States that was part of California in 1997?
The sales tax on clothing items in Country A is 25 percent of the purchase price of the item, and the sales tax on clothing items in Country B is 20 percent of the purchase price of the item. If the two countries have the same currency and if the price of a certain clothing item is the same in both countries, what percent greater is the amount of sales tax on the clothing item purchased in Country A than the amount of sales tax on the clothing item purchased in Country B?
A certain box is in the shape of a cube. If the total surface area of the box is 384 square feet, what is the total length, in feet, of all the edges of the box?

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