We have three types of birds at three prices: The large bird costs 3 coins, the middle sized bird costs 2 coins and four chicks cost 1 coin. Find the Diophantine solutions for 100 birds for 100 coins, where the number of every kind of bird is a non-negative integer. Show work.

Step-by-step explanation:

Solution is attached below

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

a

step-by-step explanation:

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