1. If a is an odd integer, then a2 + 3a + 5 is odd. 2. Proposition. Suppose a, b ∈ Z. If a|b then a |b.3. Proposition. If n ∈ Z, then 5n2 + 3n + 7 is odd.

1. are the triangles similar and if so why? what is the value of x? show your work.

Abiologist is recording the loss of fish in a pond. he notes the number of fish, f, in the pond on june 1. on july 1 there were 63 fish in the pond, which is 52 fewer fish than were in the pond on june 1. which equation represents this situation? a. f – 52 = 63 b. f – 63 = 52 c. 63 – f = 52 d. f – 63 = –52

Will give are given that xy is parallel to zw. if xz is a transversal that intercepts xy and zw, angle angle alternate interior angles. since xy is parallel to zw, we know that these angles are we also know that angle xvy and angle zvw are , and thus congruent. we can conclude that △xyv ~ △zwv using the similarity theorem.