Let l, m, n e Z. Provide a direct proof for the following: If it is the case that I is an odd integer, and either mº is an even integer or I is an even integer (or both), and either mº is an odd integer or n +3 is an even integer (or both), then 2n + 7 is an odd integer. You should assume that odd and even are defined as presented in the videos. A proper setup should include a restatement of the conjecture, a valid argument, and a conclusion.

The figure shows triangle def and line segment bc, which is parallel to ef: triangle def has a point b on side de and point c on side df. the line bc is parallel to the line ef. part a: is triangle def similar to triangle dbc? explain using what you know about triangle similarity. part b: which line segment on triangle dbc corresponds to line segment ef? explain your answer. part c: which angle on triangle dbc corresponds to angle f? explain your answer. asap