NAME DATE SCORE Using Systems of Equations (For use with lesson 3-0) By working through the steps in the problems below, you will gain skill in using systems of equations to solve problems. Problem 1 In parallelogram ABCD, the measure of ZA is 30' more than the measure of LB. What are the measures of ZA and 2 B? a. What does the problem ask you to find? b. Let a = the measure in degrees of ZA and b = the measure in degrees of LB. Notice that ZA and LB at secutive angles of a parallelogram Use this fact to write an equation relating the values of a and b. e. Use information given in the problem to write another equation relating the values of a and b. d. Write a system of equations and solve it. (Show your work. ) e. Write your answer to the problem. f. Check: Is the measure of ZA 30 more than the measure of ZR? Is the sum of the measures also correct? (continueNAME DATE SC Using Systems of Equations (continued) Problem 2 With a head wind, a jet flew a certain distance in 4.0 h. The return trip was flown wi having the same speed as the head wind. The return trip took 24 min less than the ori speed of the plane in still air was 475 km/h. find the total distance flown. a. Circle the quantities that are known. air speed wind speed ground speeds flying times distances flown b. Choose two variables to represent the unknown quantities and complete the chart. Let Let Ground speed Time Distance knh h km going returning Be careful here. c. Write a system of equations. including one equation for each portion of the round trip d. Solve the system. e. Write your answer to the problem. f. Check: Compute the distance flown with a head wind. Compute the distance flown with a tail wind Do your answers agree