Two planes are 1380 miles apart and traveling toward each other. one plane is traveling
80 mph...
Mathematics, 21.10.2019 14:00 Netnee
Two planes are 1380 miles apart and traveling toward each other. one plane is traveling
80 mph faster than the other plane. the planes pass each other in 1.5 hours. find the
speed of each plane.
Answers: 2
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?
Answers: 2
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