The Empire State Building is 1,454 feet tall (if you include the lightning rod). If a piece of gum is dropped from the top, how many seconds will it take for the gum to hit the street assuming no air resistance?

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?

Which statement most accurately describe why the division property of exponents does not apply to the expression (-8)^2/(-3)^4

Which function has the same domain as y=2x