Answer:
Arc DE = 90° 
m<GAB = 82°
Arc DC = 49°
Step-by-step explanation:
Given:
m<EAF = 74°
m<EAD = right angle = 90°
Arc BG = 82°
Required:
Arc DE,
<GAB, and
Arc DC
Solution:
Recall that the central angle measure = the intercepted arc measure.
Therefore:
✔️Arc DE = m<EAD
Arc DE = 90° (Substitution)
✔️m<GAB = arc BG 
m<GAB = 82° (Substitution)
✔️Arc DC = m<CAD
Find m<CAD
m<CAD = ½(180 - m<GAB)
m<CAD = ½(180 - 82)
m<CAD = 49°
Arc DC = m<CAD
Arc DC = 49°
 
        
             
        
        
        
Answer:
54.56
Step-by-step explanation:
Given:
Mean, u = 48
Standard deviation,  = 4
 = 4
Test score = 5%
Required:
Find the raw score, X. 
Having a test score of 5% means the Zscore has to correspond to 95%, ie, 1 - 0.05 = 0.95.
Thus, 
To get X, use the formula:

= 48 + (4 * 1.64)
= 48 + 6.56
= 54.56
The anxiety test score that would put someone in the top 5% is 54.56
 
        
             
        
        
        
Answer:
angle bisectors
Step-by-step explanation:
The incentre is where a triangle's three angle bisectors intersect ( an angle bisector is a ray that cuts an angle in half ). The incentre is the centre of a triangle drawn inside the triangle.
 
        
             
        
        
        
Answer: 
Step-by-step explanation:
Given: 83 : 45 :: 72 : ?
Let unknown quantity (?) be x.
Now, x : y :: a : b 

83 : 45 :: 72 : x

Hence, 