Carlo thinks he will go to the gym about 20 times a month. Which of these option is least expensive for Carlo? A. pay only 6$ each time you work out

B. Pay 50$ a month and 2$ each time you work out

C. Pay just 100$ per month for unlimited use for our great facilities

place r′ so that qr′ is parallel to the tangent.

now we get that ∠r′py=∠pr′q, where y is on the tangent, on the opposite side of p from x.

also, because of the symmetry, ∠r′py=∠qpx.

finally, note that no matter where we place r, as long as it's on the correct arc, we have ∠prq=∠pr′q.

stringing all these equalities together, we end up with ∠prq=∠qpx.

this picture will show how its going to look like.

hope this by jack monhen