Answer:
they are both corresponding angles (equal)
48=4x
48/4=x
12=x
 
        
                    
             
        
        
        
Answer:
a) 9 km
b) 18 km
c) She runs at a constant speed of 9 km/h 
Step-by-step explanation:
 
        
             
        
        
        
Answer: B
<u>Step-by-step explanation:</u>
  2x - 3y =  -7   →   2(2x - 3y = -7)   →   4x - 6y = -14
-4x + 6y = -10  →   1(-4x + 6y = -10) → <u>-4x + 6y</u> = <u>-10 </u>
                                                                     0  = -24
                                                                      FALSE
Since this makes a false statement, there are no solutions
 
        
             
        
        
        
DE + EF = DF
x - 2 + 6x + 4 = 8x - 2
7x + 2 = 8x - 2
2 + 2 = 8x - 7x
4 = x <===
        
             
        
        
        
x = 3 + y Eqn(1)
y = -2x + 9 Eqn(2)
Let us solve the system of equations with the substitution method
x - 3 = y (Subtracting 3 from both sides of the Eqn(1))
Replacing y = x - 3 in Eqn (2), we have: 
x - 3 = -2x + 9
x = -2x + 9 + 3 (Adding 3 to both sides of the equation)
x + 2x = 9 + 3 (Adding 2x to both sides of the equation)
3x = 12 ( Adding like terms)
x = 12/3 (Dividing by 3 on both sides of the equation)
x = 4
Replacing x=4 in Eqn(1), we have:
4 = 3 + y 
4 - 3 = y (Subtracting 3 from both sides of the equation)
y=1
The answers are:
x= 4 and y=1