Steve walks a circular trail at the local park that is 440 yards in length (a quarter-mile). The city council has built a fountain at the center of the circle. To the nearest yard, what is the shortest distance from the path to the center of the fountain? SHOW UR WOR

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?

Approximately how many more job openings are expected for security guards than pharmacy technicians? a. 2,000 b. 11,100 c. 21,000 d. 32,000

What is the quadric regression equation that fits these data