Nina can ride her bike 63,360 feet in 3,400 seconds, and sophia can ride her bike 10 miles in 1 hour. what is nina's rate in miles per hour if there are 5,280 feet in a mile?

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?

Find the value of the cosine for angle a

Write a corresponding real world problem to represent 2x - 125=400