Joshua is trying to find the product of 38 × 12. Which expression shows how Joshua could use place value to break up this problem and solve it? (32 + 6) × (10 + 2)
(30 + 8) × (10 + 2)
(31 + 7) × (11 + 1)
(30 + 8) × (11 + 1)

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