List the ordered pairs in the relations on {1, 2, 3, 4} corresponding to these matrices (where the rows and columns correspond to the integers listed in increasing order).

a) ⎡ ⎢ ⎢ ⎣ 1101 1010 0111 1011 ⎤ ⎥ ⎥ ⎦

b) ⎡ ⎢ ⎢ ⎣ 1110 0100 0011 1001 ⎤ ⎥ ⎥ ⎦

c) ⎡ ⎢ ⎢ ⎣ 0101 1010 0101 1 0 1 0 ⎤ ⎥ ⎥ ⎦

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Solve the equation - 2(m -30) = -6m a-15 b-13 c-8 d8

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem