Captain jim is going to load his pirate ship with barrels. he has room for 12 barrels. he has allotted for 103 pounds of barrels on his ship. he can choose from 8-pound barrels (the variable a) or 11-pound barrels (the variable b). which equations would be a constraint to captain jim maximizing his barrel load?

answers:
8a = 103 - 11b
8a = 103 + 11b
a - b = 12
a = 12 + b

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