Mathematics, 02.12.2019 22:10 HeyItsCookie9605

# Find counterexamples to each of these statements about congruences.

a) if ac ≡ bc (mod m), where a, b, c, and m are integers with m ≥ 2, then a ≡ b (mod m).

b) if a ≡ b (mod m) and c ≡ d (mod m), where a, b, c, d, and m are integers with c and d positive and m ≥ 2, then ac ≡ bd (mod m).

Answers: 3

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Two angles are complementary. the large angle is 36 more than the smaller angle. what is the measure of the large angle?

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The liabilities of cullumber are $99,000. owner’s capital is $143,000; drawings are $96,000; revenues, $467,000; and expenses, $301,000. what is the amount of cullumber company’s total assists?

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Apinhole camera is made out of a light-tight box with a piece of film attached to one side and pinhole on the opposite side. the optimum diameter d(in millimeters) of the pinhole can be modeled by d=1.9[ (5.5 x 10^-4) l) ] ^1/2, where l is the length of the camera box (in millimeters). what is the optimum diameter for a pinhole camera if the camera box has a length of 10 centimeters

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Find counterexamples to each of these statements about congruences.

a) if ac ≡ bc (mod m), wh...

a) if ac ≡ bc (mod m), wh...

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