Complete the paragraph proof to prove the statement. Given: ∠ABC ≅ ∠DEF and ∠GHI ≅ ∠DEF

Prove: m∠ABC = m∠GHI
We are given that angle ABC and
are congruent, and that angle GHI and angle DEF are congruent. By the
, the measure of angle ABC is equal to the measure of angle DEF, and the measure of angle GHI is equal to the measure of angle DEF. By the substitution property, the measure of angle ABC is equal to
.

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