devinb18

18.11.2020 • 

Mathematics

A community centre quiz evening, teams were awarded five points for a correct answer, no points for no answer, and minus two points for an incorrect answer. The teams marked their own score sheets. I arrived late and the scores after seven questions were shown on the board as follows: Happy Hunters 28 Ignorant Idlers 18 Jumping Jacks 16 Kool Kats 12 Lazy Lurkers -1 a. One team was clearly not even clever enough to calculate their score correctly. Which one was it?
b. Which other scores between -14 and 35 are also not possible when seven answers have been checked?

Ответ:

jaredfifa

04.05.2021

Mathematics

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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

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