The perimeter of the figure below is 133.1 ft. Find the length of the missing side. 9.7 ft
8.9 ft
8.9 ft
8.9 ft
18.6 ft
11.6 ft
20.5 ft
27.5 ft
8.9 ft
?

9.6 ft

Step-by-step explanation:

133.1 - (9.7 + 8.9 + 8.9 + 8.9 + 18.6 + 11.6 + 20.5 + 27.5 + 8.9)

133.1 - 123.5

= 9.6

the first one, all those points on the line just make a strait line.

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1