2.02: Reasoning 1

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Given that x is a positive number, Niram conjectured that x3>x2 . What value is a counterexample to Niram's conjecture?

1

After observing this pattern, Ajou made a conjecture for the next number in the pattern. 128, 64, 32, 16, 8, ... Which number was most likely his conjecture for the next number?

4

PICTURE INCLUDED: After observing this pattern, Hideko made a conjecture for the next shape in the pattern. Which shape was most likely her conjecture for the next shape?

Answer is in the picture!

Given that ∠A≅∠B , Evelia conjectured that ∠A and ∠B are acute angles. Which statement is a counterexample to Evelia's conjecture?

m∠A=126° and m∠B=126°


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