Introduction to proofs (4 points)
prove the claim, "x^2 is odd < --> x + 1 is even", where x e z by
proving the following two conditional statements:
(1) prove x^2 is odd -> x + 1 is even
(hint use proof by contrapositive)
(a) (0.5 points) what are you assuming is true:
(b) (0.5 points) what are you proving is true:
(c) (1 point) complete the proof:

Sandy is ordering bread rolls for her party,she wants 3/5 of the rolls to be whole wheat. what other factions can represent part of the rolls that will be whole wheat? shade the models to show your work.

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.

Points j and k plotted on the coordinate grid are two vertices of rectangle jklm rectangle jklm has an area of 7 square units point j is located at 2,1 and point k is located at -5,1 each vertex of the rectangle is located at a point that has integer coordinates. what is the perimeter of rectangle jklm? (need answer asap)