A football team scored 12 times in a game for a total of 72 points. Each touchdown with the extra point is worth 7 points. Each field goal is worth 3 points. If t is the number of touchdowns and fis the number of field goals, which system of equations can be used to determine the number of touchdowns and field
goals made in the football game?

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

12 dolars one is cheaper becasue 3 pairs is 6 means is sock is 2 while the 12 is cheaper