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Magoosh	If CD = 6, what is the length of BC?(1) $$BD=6\sqrt{3}$$(2) x = 60
Magoosh	Getting adequate sleep, a full eight hours every night, the depth of which will be enhanced by a regular regimen of physical exercise, with significant consequences for not only one's immediate short term health, but also for the immune system's ability in fighting major illness over the long term.
Magoosh	If 2x - y = 10 and$$ \frac{x}{y} = 3$$, then x =
Magoosh	If x and y are integers and$$ xy\neq 0$$, what is the value of $$\frac{x}{y}$$ ?(1)$$ x^2 + y^2 = 2xy$$（2)$$ 2x^2 + x - 2xy - y = 0$$
Magoosh	Internal combustion engines show an inherent tradeoff between power and fuel efficiency: if a car can race from zero to 60 mph faster, the less fuel efficient its engine is over the time.
Magoosh	Walking at a constant rate of 8 kilometers per hour, Juan can cross a bridge in 6 minutes. What is the length of the bridge in meters? (1 kilometer = 1000 meters)
Magoosh	Is a positive?Statement #1:$$ a^6 > a$$Statement #2:$$ a^5 > a$$
Magoosh	Following the merger of Fastco and Celeriton, the CFO of Fastco has been charged with reporting the earnings of the employees of both companies, and however he may choose to do so, he will have to abide by relevant state tax laws.
Magoosh	If$$8^{5}x4^{6}\over16^{n}$$=$$32^{1-n}$$then n=
Magoosh	What is the value of k?(1)$$ k^4 = \frac{1}{625}$$(2)$${ k^3} < k^2$$
Magoosh	Those who fault the intrusion of amateurs into areas requiring serious scholarship often cite Heinrich Schliemann, who was a wealthy German businessman with an obsession for antiquity and who unwittingly destroyed the very artifacts he had been hoping to unearth, when he deployed fifteen sticks of dynamite in the substratum containing relics of ancient Troy and who yet inspired legions of similarly inexperienced men to enter the field.
Magoosh	If square ABCD has area 25, and the area of the larger shaded square is 9 times the area of the smaller shaded square, what is the length of one side of the smaller shaded square?Note: Figure not drawn to scale
Magoosh	In the diagram above, what is the measure of angle y?Statement #1: x = 30°Statement #2: line AB is parallel to line CD
Magoosh	Benford’s Law, stating that certain numbers appear more often in measurements than do others, is so counterintuitive that when used as evidence in trials where financial fraud is concerned, the evidence is often considered to be a desperate ploy on the part of the prosecution, even if the numbers strongly point to malfeasance.
Magoosh	In the figure below, ∠ADE = 60°, ∠EFC = 40°, and ∠DAE = 55°. If AB \|\| CD, what is the value of x?Note: Figure not drawn to scale
Magoosh	If x is an integer, what is the value of x ? (1) $$x^2 - 4x + 3 < 0$$ (2) $$x^2 + 4x +3 > 0$$
Magoosh	Peter O'Toole was nominated for his first Oscar in 1962, and his eighth in 2006, but he never actually won the award.
Magoosh	$${1}\over{1+{{1}\over1-\frac{1}{3}}}$$
Magoosh	If BC = BD, what is the length of BC?(1) x = 30(2) AD = 1
Magoosh	The many extant fossils yet to be attributed to a species suggest that our classification of extinct species is either deficient, with many unclassified species meriting distinct branches on the taxonomic tree, or that our method of identification is lacking, with many fossils indeed attributable to known extinct species.