Mathematics, 29.01.2021 06:20, katrinajernae7008
Cedro bought five games and eight songs for a total cost of $22.87. Benita bought seven songs and four games for a total cost of $18.89. The cost of their purchases can be represented by the following equations: 5g + 8s = 22.87 and 7s + 4g = 18.89 where g is the cost of each game and s is the cost of each song purchased. What was the cost of each game and each song purchased?
Answers: 1
Mathematics, 20.06.2019 18:04, Uc34758
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?
Answers: 2
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