Answer:
17
Step-by-step explanation:
(7x)° + 61° = 180° (interior angle Postulate) 
(7x)° = 180° - 61°
(7x)° =119°
7x = 119

 
        
             
        
        
        
Answer:
1/2
Step-by-step explanation:
the rate of change is = the change in y/ the change in x
if the points are (2, 11) and (8, 14)  
Rate of change = (14-11) / (8-2) = 3 / 6 = 1/2 
 
        
             
        
        
        
3(k-x)= -3x-9
3k - 3x = -3x - 9 ← equation without parentheses
3k - 3x + 3x = - 9
3k = -9
k = -9/3 
k = -3  ← simplest form
        
             
        
        
        
Answer:
1/3
Step-by-step explanation:
To get the amount of paint,you will have to deduct the number of paint she used to start minus the amount of of gallon she finished with.
5/6-1/2
L.C.M
10-6/12
4/12
=1/3
 
        
             
        
        
        
We can see that revolving the region formed by intersecting 3 lines, we will get 2 cones that are connected their bases.
Volume of the cone V=1/3 *πr²*h
1) small cone has r=5, and h=5
Volume small cone V1= 1/3 *π*5²*5 = 5³/3 *π
2) large cone has r=5, and h=21-6=15, h=15
Volume large cone V2= 1/3 *π*5²*15 = 5³*π
3) whole volume
5³/3 *π + 5³*π=5³π(1/3+1)=((5³*4)/3)π=(500/3)π≈166.7π≈523.6
Area
we see 2 right triangles,
Area of the triangle=1/2*b*h, where b -base, h -height
1) small one, b=5, h=5
A1=(1/2)*5*5=25/2
2)large one, b=5, h=15
A2=(1/2)*5*15=75/2
3) 
whole area=A1+A2=25/2+75/2=100/2=
50