Step-by-step explanation:
1) given 
2) 2 non - common sides in 1 ray
3) supplemental
5) opposite angles are congruent
 
        
                    
             
        
        
        
Answer:  
 He drew a scalene triangle
Step-by-step explanation:
A scalene triangle is where all side measure and all angle measure are different.
 
        
                    
             
        
        
        
Answer:
21 ft by 66 ft
Step-by-step explanation:
From the question,
P = 2(L+W)............... Equation 1
Where P = Perimeter of the playing Field, L = Length of the playing Field, W = width of the playing Field.
If the Length of the Field is 45 ft longer than the width,
L = 45+W............ Equation 2
Substitute Equation 2 into equation 1
P = 2(45+W+W)
P = 90+4W............. Equation 3
Given: P = 174 ft.
Substitute into equation 3
174 = 90+4W
4W = 174-90
4W = 84
W = 84/4
W = 21 ft.
Substituting the value of W into equation 2
L = 45+21
L = 66 ft.
Hence the dimensions of the playing field is 21 ft by 66 ft
 
        
             
        
        
        
Answer:
1. 
2. 
Step-by-step explanation:
Let the number of people in the group be x. Denote the total cost as C.
1. If the regular cost is $21 per person, then the total regular cost for x people is 
2. If the special cost is $8 per person, then the total special cost for x people is  There is an additional $104 fee for a private room, thus the total special cost is
 There is an additional $104 fee for a private room, thus the total special cost is 
 
        
             
        
        
        
Answer:
x = 60° (Alternate angles) 
Step-by-step explanation:
a) x = 60° 
b) Reason: Alternate angles