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Lina20 [59]
2 years ago
8

What additional piece of information is needed to prove the triangles congruent by ASA?

Mathematics
1 answer:
Iteru [2.4K]2 years ago
8 0
Another angle is needed, you only have 1 angle from each and 1 side from each whereas ASA needs 2 angles
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(a) \varphi(13)=12 since 13 is prime.

(b) 81=3^4, and there are 81/3 = 27 multiples of 3 between 1 and 81, which leaves 81 - 27 = 54 numbers between 1 and 81 that are coprime to 81, so \varphi(81)=54.

(c) 100=2^2\cdot5^2; there are 50 multiples of 2, and 20 multiples of 5, between 1 and 100; 10 of these are counted twice (the multiples of 2*5=10), so a total of 50 + 20 - 10 = 60 distinct numbers not coprime to 100, leaving us with \varphi(100)=100-60=40.

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