Answer:
P1 bribe P3 otherwise P3 gets 100 gold coins.
Step-by-step explanation:
Under this rule
P1 gets 34 coins,
P2 gets 33 and
P3 gets 33
Two things could happen
First: P1 has to bribe P3 additional one gold coin in order to get majority votes, so that he would not be thrown overboard and be kill. Then,
P1 gets 33 coins
P2 gets 33 coins
P3 gets 34 coins
Second: if P2 reject it, P3 could be indifferent. This will lead to the death of P1. And when P2 makes suggestions, P3 rejects it. Therefore P3 gets it all. P3 gets 100 gold coin
Answer:
m∠CAO=8º
m∠SAC=82º
Step-by-step explanation:
We know that m∠OAS is 90º because it is a radius to a tangent. This will be useful later.
OA=OB because they are both radii. If we draw a line from A to B, this makes an isosceles triangle ABO with a vertex angle of 32 because of the central angle theorem. This means that m∠OAB and m∠OBA are both 74º.
Isosceles triangle CAB is also formed with the construction of AB. Using the inscribed angle theorem, we can find ACB, which is 16º. Solve for the other angles and you get 82º. To find m∠CAO, subtract m∠OAB from m∠CAB, and this returns 8.
To find m∠SAC, subtract m∠CAO from m∠OAS, which is 90º-8º, and you get 82º.
