Hey there hope this helps you out
 
        
        
        
remember: a filled dot means it includes that point and an empty dot means it doesn't
A. has empty dot at 0 so x=0 is not incuded in the solution
B. has filled dot at x=0 so x=0 is a solution
C. has empty dot at 0 so x=0 is not incuded in the solution
D. the line doesn't even go over x=0 so not a solution
answer is B
 
        
             
        
        
        
Adjacent angles-
  2 angles that share a common vertex, a common side and no common interior points.
The answer is ADJACENT ANGLE
        
             
        
        
        
Answer:
x = 3.8
Step-by-step explanation:
The equation is (5 - x) / 2 = 2x - 7
Multiply both sides by 2:
5 - x = 4x - 14
Add 14 to both sides:
19 - x = 4x
Add x to both sides:
19 = 5x
Divide both sides by 5 to isolate x:
3.8 = x
Therefore, x = 3.8.
 
        
                    
             
        
        
        
A and a' are vertical angles, therefore a' = a
We know: The sum of the measures of triangle is always 180°.
Therefore: a' + b + d = 180° → d = 180° - a - b.
d and c are adjacent angles, therefore d + c = 180°
substitute
180° - a - b+ c = 180°    |-180°
-a - b + c = 0    |+a  |+b
c = a + b