Make addition and multiplication tables for z2[a] = {0, 1, a, a + 1}, where by definition arithmetic is done in z2 according to each of the following rules: a. q? = a + 1; b. q2 = 1; decide in each case whether or not z2[x] is a field.

Solve the following pair of equations for x and y: ax/b_ by /a= a +b; ax - by = 2ab

Match the following reasons with the statements given to create the proof. 1. do = ob, ao = oc sas 2. doc = aob given 3. triangle cod congruent to triangle aob vertical angles are equal. 4. 1 = 2, ab = dc if two sides = and ||, then a parallelogram. 5. ab||dc if alternate interior angles =, then lines parallel. 6. abcd is a parallelogram cpcte

Aladder that is 20 ft. long against the side of a building. f the angle formed between the ladder and the ground is 75 degrees, how far is the bottom of the ladder from the base of the building?