-2x + 9x ⋅ 7 + 36
61x +36
-34.9 - (-71.2)
36.3
x =153
Angles 1 and 5
Complementary Angles
Greg buys 40 yards of wire fence to create a triangular pen for his dog. One side of the pen will use 19 yards of fencing. The other two sides will be equal in length. Greg would like his pen to use exactly 40 yards of fencing so that he doesn’t have any left over. What is the length of each of the other two sides of the pen?
10.5 yards
5x + (6x ÷ (-9))
13x/3
-9 3/4 - 10 7/10
-20 9/20
x =35
Angles 3 and 4
Supplementary
Sylvia is practicing for her next track meet by running laps and recording her time. For each timed practice run, Sylvia runs a total of 2000 meters. Each lap is exactly 200 meters. If Sylvia has exactly 200 meters left to run, how many laps has she completed?
9 laps
2 -(4(-2)x ÷ -2)
-4x + 2
-4 5/8 ÷ 5 1/2
-37/44
x=54
Angles 4 and 5
Supplementary Angles
Your cable bill this month was exactly $105. The regular fee for cable is $97, but this month you rented 2 movies that each cost the same amount to rent. How much did each movie cost to rent?
$4
-2x(8 + 3 ⋅ 4)
-40x
56.3 ⋅ 0.9
50.67
x=118
Angles 1 and 3
Complementary Angles
Since beginning his artistic career, Cameron has painted 6 paintings a year. He has sold all but two of his paintings. If Cameron has sold 70 paintings, how many years has he been painting?
12 years
-3 + 1(-6)x - 7x
-13x -3
-102.9 ÷ − 3.3
31.1818
x=77.5
Angles 3 and 5
Vertical Angles
At the dance recital, Ms. Deutsch needs seven parent volunteers to help students get on and off stage, plus four parent volunteers per room of students. On the day of the recital, Ms. Deutsch uses 39 parent volunteers. How many backstage rooms were there?
8 backstage rooms