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9.1.3 Exterior Angles in Triangles Homework 9-33. If each piece of information is true, determine which pairs of lines, if any, would be parallel. If the statement makes none necessarily parallel, write “none.” a. m 2=m 7 c is parallel to d b. m 3=m 11 e is parallel to f c. m 1=m 12 none d. m 13 = m e. 6 and 12 c is parallel to d 7 are supplementary. c is parallel to d 9-34. In each angle problem below, solve for the variable(s). Write the names of the definition(s) and relationship(s) that justify the steps in your solution. x = 22.5º d = 49º e = 41º f = 43º 9-35. Simplify each expression. a. ÷ b. − = 2 · c. ÷ (− ) d. − ÷ (− = ) = 9 9-36. Simplify and solve each equation below for x. Show your work and check your answer. a. 24 = 3x + 3 b. 2(x − 6) = x – 14 x=7 c. 3(2x − 3) = 4x – 5 x=2 x = –2 d. x = 2x – 5 x=4 9-37. Joaquin has agreed to lend his younger brother $45 so that he can buy a new tank for his pet lizard. a. Joaquin is charging his brother 2% simple interest per month. If his brother pays him back in 6 months, how much will Joaquin get back? $50.40 b. If Joaquin’s brother instead borrowed the money from a bank at 2% compound interest per month, how much would he have to pay the bank at the end of 6 months? $50.68