You live in a big house. The master bathroom is 12 by 20 feet. Calculate the area of your bathroom. A. 100 sq ft.
B. 240 sq ft
C. 180 sq ft
D. 170 sq ft

Write a real-world word problem that can be solved by adding 34.99 and 5.79. then solve

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?

How can you check that you have correctly converted frequencies to relative frequencies?