1. Using the numbers 1-20, and only using a number once, fill in the blanks. There may be multiple correct answers a) (x + ___)(x + ___) = x2 + ___x +

b) (x + ___)(x + ___) = x2 + ___x +
2. Using the numbers 1-40, and only using a number once, fill in the blanks. There may be multiple correct answers

a) (___x + 2)(___x + 5) = x2 + +

b) (___x + 2)(___x + 5) = x2 + +

We can prove this by doing a statement and reason (more or less). The first thing we need to do is a construction of segment OG which is parallel to BC and touches A. Since it forms a straight line, we can say that m<OAB + m<A + m<GAC is equal to 180° (because it is a straight line). But, by alternate interior angles theorem, we can say that m<B = m<OAB and m<C = m<GAC. Therefore, by transitivity, m<A + m<B + m<C = 180°. Since angles A, B, and C are the interior angles of triangle ABC, we proved that the sum of the interior angles of ABC is 180°.