If a club consists of 17 members, how many different arrangements of president, vice-president, and secretary are possible?

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

87.5% , 100% , 83.33 , 93.33% , 100% , 82.5% are all the academic points i've gotten this quarter. what's my final grade?

Woodland bicycles makes two models of off-road bicycles: the explorer, which sells for $250, and the grande expedition, which sells for $350. both models use the same frame, but the painting and assembly time required for the explorer is 2 hours, while the time is 3 hours for the grande expedition. there are 375 frames and 450 hours of labor available for production. how many of each model should be produced to maximize revenue? a. 200 explorers 50 grande expeditions c. 225 explorers 0 grande expeditions b. 150 explorers 10 grande expeditions d. 325 explorers 50 grande expeditions