Answer:
Perimeter is 38.8 units and approximately 39 units
Step-by-step explanation:
Given: Graph
To find: perimeter of the polygon
Solution:
Distance between points
is given by 
As per the graph,
point P is (-2,11)
point Q is (-4,6)
point R is (2,0)
point S is (1,7)
point T is (8,7)

Perimeter refers to sum of lengths of all the sides.
Perimeter = 
Or approximately 39 units
Answer:
x = 85
Step-by-step explanation:
To solve, first find the angle of the other missing angle in the left by subtracting the outside angle from 180:
180 - 155 = 35
Then add this and the known angle:
35 + 60 = 95
Then subtract this from 180 to get the missing angle for x:
180 - 95 = 85
8(x - 6) = 4x
Distribute.
8x - 48 = 4x
Subtract 8x from both sides.
8x -8x - 48 =4x -8x
Now you have...
-48 = -4x
Divide -4 by both sides.
-48/-4 = -4x/-4
12 = x
The number is 12.
Answer
Find out the total monthly charges for x cubic feet of water used .
To prove
As given
A water company charges a connection fee each month of $22 and an additional $2.30 per cubic foot of water used.
Than the equation become
Total monthly charges for x cubic feet of water used = Monthly connection fee + charges for x cubic feet of water
thus
f(x) = 22 + 2.30x
where x is the x cubic feet of water used .
Therefore Option (B) is correct i.e f(x) = 22 + 2.30x .