Answer: 10
2AX=BD
2(3y-5)=5y
6y-10=5y
add 10 to each side 6y+10-10=5y+10
6y=5y+10
subtract 5y from each side 6y-5y=5y-5y+10
6y-5y=y
y=10
        
                    
             
        
        
        
Answer:
This is a vertical angle theorem 
Step-by-step explanation:
Vertical angles are a pair of opposite angles formed by intersecting lines. In the figure, ∠1 and ∠3 are vertical angles. ... Vertical angles are always congruent . So, in this figure, ∠1≅∠3 and ∠2≅∠4 .
 
        
             
        
        
        
Answer:
 4000 cm^3
Step-by-step explanation:
Note that no image was attached for reference purposes
Step one:
We are given that the original length and width of the cube is 20cm
if the cut part is 10cm 
hence the dimension of the cut part is 
lenght = 20cm
Width= 20cm
Hieght= 10cm
Step two:
the volume of the cut part will be
Volume= 20*20*10
Volume= 4000 cm^3
 
        
             
        
        
        
Answer:
6 gallons of gas
Step-by-step explanation:
20.00 - 2.12 = 17.88
17.88 divided by 2.98 equals 6
 
        
                    
             
        
        
        
Usual limit of sin is sinX/X--->1, when X--->0
sin3x/5x^3-4x=0/0?, sin3x/3x--->1 when x --->0, so sin3x/5x^3-4x=                    [3x. sin3x / 3x] /(5x^3-4x)=(sin3x / 3x) . (3x/5x^3-4x)
   =(sin3x / 3x) . (3/5x^2- 4)
finally lim  sin3x/5x^3-4x=lim (sin3x / 3x) .(3/5x^2- 4)=1x(3/-4)= - 3/4
                 x----->0            x---->0