Answer: x = 20.
Step-by-step explanation:
x and (3x + 10) combine to form a right angle, shown in the diagram by the small square joining the perpendicular lines. 
Right angles are 90 degrees, so you can add both angles to get 90:

 
        
             
        
        
        
Answer:
f=100
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
108
Step-by-step explanation:
 
        
             
        
        
        
Answer:
 r = 8°
Step-by-step explanation:
95° = 6r° + 47° ( vertically opposite angles are equal)
6r° = 95° - 47° 
6r = 48°
r = 48°/6
r = 8°
 
        
                    
             
        
        
        
1.301
Explanation:
Given:
 and
 and 
Note that from the properties of logarithms,





