Download 9.1.3 Exterior Angles in Triangles 9-33 Homework

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