Answer:

Step-by-step explanation:
Hello There!
The angle labeled 6x is a right angle 
If an angle is formed using the diameter of a circle then the opposite angle of that side is a right angle 
So 6x = 90
isolate the variable 
divide each side by 6 
90/6= 15
6x/6=x
we're left with x = 15
 
        
                    
             
        
        
        
Answer:
The total amount due at the register will be: $65.09    
Step-by-step explanation:
The cost of an item = $61
tax on item = 6.7%
The tax amount =  6.7% × 61
                            = 0.067 × 61
                            = $ 4.09 
The total cost = cost of an item + tax amount 
                            = $61 + $4.09
                            = $65.09 
Therefore, the total amount due at the register will be: $65.09                         
 
        
             
        
        
        
Answer:
m<FED=60, m<DEN=120
Step-by-step explanation:
m<FED=60
This is because <GEN and <FED are vertical angles.
Vertical angles are always congruent.
Vertical angles are formed by a pair of intersecting lines, and are the angles directly across from one another.
m<DEN=120
This is because <DEN and <GEN are supplementary.
Supplementary angles add up to 180 degrees. 
We know this because a straight line is always 180 degrees.
So:
m<DEN+m<GEN=180
m<DEN+60=180
m<DEN=120
 
        
             
        
        
        
$20 / 8 dessert dishes = $2.50
The cost of each dish is $2.50.