The equation for Louis's purchase is: 
The equation for Kate's purchase is: 
The equation for Biff's purchase is: 
Step-by-step explanation:
First of all we have to define variables for each item involved in the purchase
Let x represent burger
y represent soda
z be the slice of pizza
Then
"Louis bought a burger and soda for $8"

"Kate purchased a slice of pizza and soda for $9"

"Biff purchased a burger, a slice of pizza and a soda for $13.50"

The equation for Louis's purchase is: 
The equation for Kate's purchase is: 
The equation for Biff's purchase is: 
Keywords: Linear Equations, Variables
Learn more about Linear equations at:
#LearnwithBrainly
 
        
             
        
        
        
Answer:
x = 67
y = 23.5
Step-by-step explanation:
Sum of angles in a triangle is supplementary,
x + 90 + 23 = 180
x + 113 = 180
x = 180 - 113
x = 67
y = ?
180 - 67 / 2
= 133 / 2
= 66.5
y + 66.5 = 90
y = 90 - 66.5
y = 23.5
 
        
             
        
        
        
The value of g in the 20 sided regular polygon is 54.
<h3>How to find the angles of a regular polygon?</h3>
If all the polygon sides and interior angles are equal, then they are known as regular polygons.
The polygon given is a 20 sided regular polygon and the measure of each angle is 3g degrees.
Therefore, let's find g.
The sum of interior angles of a 20 sided polygon is as follows:
180(n - 2) = 180(20 - 2) = 180(18) = 3240
Therefore, 
each angle = 3240 / 20 = 162
Hence,
162 = 3g
g = 162 / 3
Therefore,
g = 54
learn more on regular polygon here: brainly.com/question/16992545
#SPJ1
 
        
             
        
        
        
The value of M equals 70°
        
             
        
        
        
9514 1404 393
Answer:
   486√3 ft² ≈ 841.8 ft²
Step-by-step explanation:
The area of a regular hexagon with side length s is ...
   A = (3√3)/2s²
For the side length of 18 ft, the area is ...
   A = (3√3)/2(18 ft)² = 486√3 ft² ≈ 841.8 ft²