Mathematics, 16.06.2021 16:40, Chad9310

If a + b = 5 and a - b = 9, what is a^2+b^2?

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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?

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Mathematics, 20.06.2019 18:04, laza87

For an experiment, a penny is tossed. at the same time, a spinner with 8 congruent sections numbered 1–8 is spun. how many possible outcomes are there for the experiment?

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Mathematics, 21.06.2019 19:00, KMyers

The fence around a quadrilateral-shaped pasture is 3a^2+15a+9 long. three sides of the fence have the following lengths: 5a, 10a-2, a^2-7. what is the length of the fourth side of the fence?

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Mathematics, 22.06.2019 00:00, khlo30