Answer:
y = 15x
Step-by-step explanation:
Given x and y are in direct variation then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 2, y = 30, then
30 = 2k ( divide both sides by 2 )
15 = k
y = 15x ← equation of variation
 
        
                    
             
        
        
        
Answer:
x=17
Step-by-step explanation:
the two segements equal each other, so make teh equations equal eachother and solve for x ,2x-10=x+7
 
        
             
        
        
        
Answer:
10 hrs
Step-by-step explanation:
just divide 24 km by 8 hrs to get 3km per hour then 
divide 30 by 3 to get 10 hrs
 
        
             
        
        
        
Answer:
m∡GHI = 21°
Step-by-step explanation:
Since the lines are intersecting, GHI and JHK are opposite angles, so they are the same measure.
That means you can set them equal to each other
x + 7 = 3x - 21
x = 14
Now plug x into GHI
14 + 7 = 21
m∡GHI = 21°
 
        
             
        
        
        
let's suppose x is the shortest leg of the triangle
The perimeter of the flower bed is 3x+8 ft
the surface to be coverd by sod would be x×(x+7)/2 sqft
(x+8)(x+8)=(x+7)^2+x^2
x'2+16x+64=x'2+14x+49+x^2
x^2-2x=15
x×(x-2)=15
x=5
(15+8)×$4.23=$97.29 for fencing
32.5sqft×$12.72=$413.4 for the sod