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In the figure above, if AC = 15, BC = 5, and AE = 5, what is the value of ED?


The parallel sides (bases) of trapezoid RSTU have lengths 3 and 9, and the nonparallel sides have lengths 4 and 6, as shown in the figure. Line segment AB (not shown) is parallel to the two bases of RSTU with point A on side RS and point B on side TU. If AB divides the trapezoid into two trapezoids having equal perimeters, what is the sum of the lengths of the nonparallel sides of trapezoid RABU?
If $$\frac{1}{2}$$ is one solution of the equation $$8x^{2}+2x-k=0$$, where k is a constant, what is the other solution of the equation?
$$\frac{2}{9}$$ < x < $$\frac{1}{3}$$

Quantity A

x

Quantity B

$$\frac{5}{18}$$
P=$$x^{30}-x^{31}$$

Quantity A

The value of P when x is $$\frac{1}{2}$$

Quantity B

The value fo P when x is $$-\frac{1}{2}$$
$$b_{1}$$, $$b_{2}$$, $$b_{3}$$, ........., $$b_{99}$$, $$b_{100}$$........

The first term of the sequence shown is 1, and each term after the first term is equal to the preceding term multiplied by $$-\frac{1}{3}$$.

Quantity A

$$b_{100}$$ - $$b_{99}$$

Quantity B

0
The probability that event R will occur is 0.65. The probability that event T will occur is 0.47.

Quantity A

The probability that neither R nor T will occur

Quantity B

0.47


RSUV is a rectangle.

Quantity A

$$\frac{The lengh of ST}{The lengh of TU}$$

Quantity B

$$\frac{The area of △RST}{The area of △TUV}$$
The acreage of Hopetown, a town in Lewis County, is equal to 20 percent of the acreage of the region that is in Lewis County but not in Hopetown.

Quantity A

The acreage of Hopetown as a percent of the entire acreage of Lewis County

Quantity B

18%
r is a positive integer, k = 2r + 1, and h = 5k - 3.

Quantity A

The units digit of h

Quantity B

2
Last week, the Garcia couple had combined earnings of $1,450. If one spouse earned $1.25 per hour more than the other and both worked for 40 hours that week, what were last week's earnings of the spouse with the higher hourly pay?
A list of six numbers has a standard deviation of 0. A new list is created by increasing each number from the original list by 10 and then dividing each of the six results by 7. What is the standard deviation of the new list of six numbers?
The length of a diagonal of a square is greater than 12 but less than 13. Which of the following could be the perimeter of the square?
By approximately what percent did the stock price per share of Brand S coffee increase from January to December?
For each of the 5 months July through November, the stock price per share of Brand D coffee decreased from the price for the preceding month. Which of the following is closest to the average (arithmetic mean) of the 5 decreases in price per share?
From the graph, Joe read the stock prices for three consecutive months for Brand D coffee. Which of the following is closest to the maximum possible range of the three stock prices that Joe read?
If $$\frac{r}{s}=\frac{1}{2}$$ and $$\frac{r}{p}=\frac{2}{3}$$, then $$\frac{r}{s+p}$$=
When positive integer $$m$$ is divided by $$6$$, the remainder is $$4$$. When positive integer $$p$$ is divided by $$6$$, the remainder is $$5$$. What is the remainder when the product $$mp$$ is divided by $$6$$?


Construction workers measured the distance from two poles to a reference point A as 13 feet and 10 feet, as shown in the figure above. Which of the following values could be the distance, in feet, between the two poles?

Indicate all such values.

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