Answer:
Option (D)
Step-by-step explanation:
Given quadrilateral in the circle is a cyclic quadrilateral.
By using the property of cyclic quadrilateral,
"Sum of each pair of opposite angles is 180°".
In the given cyclic quadrilateral,
d + 57° = 180°
d = 180 - 57
d = 123°
Similarly, c + 31° = 180°
c = 180° - 31°
c = 149°
Therefore, Option (D) will be the answer.
 
        
             
        
        
        
The margin of error of the random selection is 0.29
The given parameters are:
 --- the sample size
 --- the sample size
 --- the standard deviation
 --- the standard deviation
 --- the mean
 --- the mean
 --- the confidence level.
 --- the confidence level.
The margin of error (E) is calculated as follows:

So, we have:


The z-value for 90% confidence level is 1.645.
Substitute 1.645 for z


Take square roots

Multiply

Approximate

Hence, the margin of error is 0.29
Read more about margin of error at:
brainly.com/question/14396648
 
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
Given the equation 
Step 1;
Expand the bracket at the right hand side of the equation to have:

Taking the reciprocal of both sides:
