Omar and 2 of his friends went out to lunch. Each ordered exactly the same meal. The total cost was $54.57, which included 7% sales tax. What was the price of each meal, not
including tax?

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?

What is the slope of the equation y =

Aflower has 26 chromosomes. to create a new flower,how many would a sperm cell have what is called?