we are given that 
angle(ACF)=90
angle(ACB)=61
sum of all angles along any line is 180
so, we get 
angle(ACF)+angle(ACD)=180
we can plug value 
90+angle(ACD)=180
angle(ACD)=90
now, we can use formula 
angle(ACD)=angle(ACB)+angle(BCD)
now, we can plug values
and we get 
90=61+angle(BCD)
90-61=61-61+angle(BCD)
angle(BCD)=29................Answer
 
        
                    
             
        
        
        
Answer:
21. 162 (rounded to nearest thousandth)
Step-by-step explanation:
Area of a sector: (degree/360) (pi*radius^2)
degree given= 97
radius= diameter/2 = 5
(97/360) (pi*5^2)
(97/360) (pi*25) = 21.16211718
 
        
             
        
        
        
I would say 168 is the answer.
        
             
        
        
        
Answer:
0.42
Step-by-step explanation:
The original price of the old hardcover books was sold for b dollars. But the manager markdown the hardcover books by 42%. 
The expression of the markdown using a decimal can be represented below.
Recall the markdown is 42 %. If you want to convert from percentage to a decimal, you have to move the decimal point two places to the left . The percentage sign is removed at this stage and the value is represent in decimal.  Or you can just divide the percentage value by 100. 
In our case the percentage value can be solved as 42/100 = 0.42 in decimal or by just simply moving the decimal points two places to the left which is 0.42.
 
        
             
        
        
        
<h3>The given expression as single exponent is:</h3>

<em><u>Solution:</u></em>
<em><u>Given expression is:</u></em>

In exponents,
When the base is same, exponents can be added
Which means,

Therefore,

Thus the given expression as single exponent is:
