Prove that if a ≡ b modulo m and c ≡ d modulo m, then (a + c) ≡ (b + d) modulo m. Conclude that there is a well-defined addition of equivalence classes modulo m given by [a]+[b] = [a+b].

Me complete this proof! prove that a quadrilateral is a square. me with the steps for this proof.

The first few steps in solving the quadratic equation 9x2 + 49x = 22 ? 5x by completing the square are shown. 9x2 + 49x = 22 ? 5x 9x2 + 54x = 22 9(x2 + 6x) = 22 which is the best step to do next to solve the equation by completing the square? 9(x2 + 6x + 3) = 25 9(x2 + 6x + 3) = 49 9(x2 + 6x + 9) = 31 9(x2 + 6x + 9) = 103

Піf x = y and y= z, which statement must be true? оа. -x = -2 b. x= z ос. —x = 2 od. 2= x