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Mathematics, 08.02.2021 19:10 xjsg
of the space in Jamie's drawer is taken up by animal figures, and is taken up by action figures. He wants to store his basketball card collection in the drawer, too. How much room do the figures take up? Will he have any room left for the cards?
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Mathematics, 20.06.2019 18:04
Here is their argument. given the obtuse angle x, we make a quadrilateral abcd with ∠dab = x, and ∠abc = 90◦, and ad = bc. say the perpendicular bisector to dc meets the perpendicular bisector to ab at p. then pa = pb and pc = pd. so the triangles pad and pbc have equal sides and are congruent. thus ∠pad = ∠pbc. but pab is isosceles, hence ∠pab = ∠pba. subtracting, gives x = ∠pad−∠pab = ∠pbc −∠pba = 90◦. this is a preposterous conclusion – just where is the mistake in the "proof" and why does the argument break down there?
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of the space in Jamie's drawer is taken up by animal figures, and is taken up by action figures. He...
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