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Let A = {2,3,4,7,9,10} and B = {3,6,9,12}. If a number is chosen at random from set A, what is the probability that the number is in A∩B?
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A∩B is the set containing the numbers that appear in A and B. So, A∩B = {3,9}. There are 6 numbers in set A, so the probability that a number from set A is in A∩B is 2/6
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The coordinates of the vertices of triangle ABC are A(4,5), B(2,1), and C(6,3). If P is a point such that APBC is a parallelogram, what are the coordinates of P?
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The vector between B and C is <4,2>. So the vector between A and P should be the opposite vector, <-4,-2>. So basically P will be at (4-4,5-2). In other words, P is (0,3)
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