Mathematics, 13.02.2022 18:50 tessthetoast
2. At a supermarket checkout, a scanner records the prices
of the foods you buy. In order to protect consumers,
the state of Michigan passed a “scanning law" that says
something similar to the following:
“If there is a discrepancy between the price marked on
the item and the price recorded by the scanner, the con-
sumer is entitled to receive 10 times the difference be-
tween those prices; this amount given must be at least
$1 and at most $5. Also, the consumer will be given the
difference between the prices in addition to the amount
calculated above."
(a) What is the lowest possible refund?
Answers: 3
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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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2. At a supermarket checkout, a scanner records the prices
of the foods you buy. In order to prote...
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