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History is about recognizing continuities and therefore the historian must (i)_____________ stories that rope together the disparate worlds of past and present. But it is also true that honest history arises from a sense of (ii)_____________. lt is the experience of discontinuity that alerts us to the(iii)_____________ of the past and sets us looking for narratives to capture that unfamiliar entity.
For decades, debates about the potential benefits of seafloor mining in ocean deeps were _____________, because mining at depths greater than 1,000 meters was considered technologically impossible.
Hedonic hunger, or the urge to eat for pleasure, applies even when we are full. When food is (i)_____________, hedonic hunger comes in handy, so we can stock up on calories for the hard times ahead. But in a world of(ii)_____________, the same impulse makes us gain weight.
The literary critic' s first book, coming after a long period of reviewing poetry in magazines, is the author's chance to(i)_____________ positions previously (ii)_____________somewhat confusingly, and show how they(iii)_____________, if in fact they do.
Land near Bangladesh's coastal rivers is _____________: temporary islands, or chars, form in the main rivers as sediments are deposited and then disappear during floods.
In his self-portraits Rembrandt is notably _____________ the details of his own physiognomy, with the color of his eyes, the shape of his nose never seeming to be the same from one picture to the next.
Until the l960s, predictions ofthe effect of winds on the ocean waves were_____________, and forecasts of wave heights during stoms were consequently unreliable.
The fierce drought that is gripping the area—and imminent rationing and steep water price increases—is _____________the area's deep economic divide, as wealthy communities guzzle water while poorer commnities nearby conserve by necessity.
The play is undeniably cerebral - its plot turns on the interpretation of quantum mechanics.but critics have found this_____________ exhilarating, and the play does not wear its ideas too heavily.

Quantity A

$$w(2x+2y+2z+1)$$

Quantity B

$$2w(x+y+z)$$


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?

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