Fill in the missing statement and a reason in the proof of the corresponding angles theorem “It is given that AB is parallel to CD and points E, G,H, and F are collinear. The measure of EGF is 180°, by the definition of a straight angle. AGE and AGF I adjacent So the measure of AGE plus the measure of AGF equals the measure of EGF by the angle addition postulate. Then substituting for the measure of EGF it can be said that the measure of AGE plus the measure of AGF equals 180°. _, so the measure of CHE pulse the measure of AGF. The measure of AGE is equal to the measure of CHE _. Finally by the definition of congruence, AGE is congruent to CHE.”

Find the balance at the end of 4 years if 1000 is deposited at the rate of

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.

Answer asap. you begin with 1/2 scoop of ice cream. since you're hungry, you ask the vendor for 2/7 more scoops of ice cream. then, you eat 5/8 scoops. how many scoops of ice cream are left on your cone? i will mark brainliest for first correct answer.