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Magoosh
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If triangle ABC is an isosceles triangle, what is ∠ABC ?(1) ∠CAB=45°(2) ∠BCA=90°
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Magoosh
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A box contains 10 pairs of shoes (20 shoes in total). If two shoes are selected at random, what is the probability that they are matching shoes?
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Magoosh
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Based on the analysis of musicologists who focused on his early manuscripts, Beethoven often created sketches of musical motifs that he would frequently make significant revisions weeks or even months later and that these preliminary ideas were included in much larger works that often underwent numerous revisions themselves.
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Magoosh
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In Dewey Elementary School, there are two second-grade classes: class A has 35 students and class B has 45 students. If 40% of the students in class A walk to school, and 80% of the students in class B walk to school, what percent of all the students in the second-grade at Dewey Elementary walk to school?
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Magoosh
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Modern planetary science has a detailed understanding of the conditions necessary for a planet to develop life, but scientists are still unable to determine whether a given specific planet meeting all these conditions is to develop life.
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Magoosh
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Solution X is 10 percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 200 milliliters of solution X to create a solution that is 25 percent alcohol by volume?
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Magoosh
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Comparing tensile strength, spider's silk is much better at holding its own weight than high-grade alloy steel, considerably lighter because the organic composition is less dense than the metallic elements.
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Magoosh
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Diana invested $61,293 in an account with a fixed annual percent of interest, compounding quarterly. At the end of five full years, she had $76,662.25 in principal plus interest. Approximately what was the annual percent rate of interest for this account?
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Magoosh
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Rome's great intellectual achievements laid in organizing the Empire, but Greece's had laid in mathematical and philosophical breakthroughs.
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Magoosh
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Set K consists of all fractions of the form$${ x}\over({x+2}) $$where x is a positive even integer less than 20. What is the product of all the fractions in Set K ?
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Magoosh
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In unveiling vast swaths of areas of which they previously had faintly any notion of their existence, much like modern day astronomers, ancient cartographers expanding our awareness of the world we inhabit and providing a basis so that we might reach even further into the unknown.
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Magoosh
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The sum of k consecutive integers is 41. If the least integer is -40, then k =
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Magoosh
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Knocked from the asteroid belt, an asteroid that comes close to Earth may be captured by Earth's gravitational field, ultimately spiraling inward and becoming fully consumed during its fiery descent through the atmosphere while acting like a "falling star,” or becoming redirected at high speeds along a new trajectory.
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Magoosh
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The entire contents of a full sack of flour can be used to make 15 cupcakes and 8 pizzas. The same full sack of flour can be used to make 7 cupcakes and 14 pizzas. If a full sack of flour is used to make only pizzas, how many pizzas can be made?
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Magoosh
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In the "dead-ball" era of 1900-1919, Major League Baseball hitters in both leagues hit an average total of 370 home runs each season, more than 60% percent less than those in the 1920s.
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Magoosh
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How many points (x, y) lie on the line segment between (22, $$12\frac {2}{3})$$ and (7,$$ 17 \frac{2}{3}$$) such that x and y are both integers?
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Magoosh
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Organizers claimed that the rally for public health care drew close to half a million people, but the city officials estimated the amount of people at the rally to be less than 300,000.
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Magoosh
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$$({0.1666666…})\over({0.375})(0.4444444…)^{2}$$=
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Magoosh
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At approximately 22 weeks, a fetus becomes fully covered by lanugo, or a fine, soft hair that insulates the body until fat deposits accumulate in the wrinkles of the skin, often remaining until birth.
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Magoosh
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The nth term$$(t_n)$$ of a certain sequence is defined as $$t_n = t_{n-1} + 4$$. If$$ t_1= -7 $$then $$t_{71}$$ =
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