Answer:
The sector given in the figure is a semi-circle because the degree measure of the chord is 180 degrees.
Area of semicircle = 0.5π = 0.5π×4.5 = 6.75 sq. inches
 = 0.5π×4.5 = 6.75 sq. inches
 
        
                    
             
        
        
        
AD = AB
AD = 2r+8
AB = 5r-13
we need to find the value of r to find the total length
so 2r+8 = 5r-13
subtract 2r from each side:
8 = 3r -13
add 13 to each side:
21 = 3r
divide both sides by 3
r = 21 / 3 = 7
r=7
 now we know r, so replace r with 7 in the equation for AD
AD = 2r+8 = 2(7) +8 = 14 +8 = 22
 the answer is D. 22
        
             
        
        
        
Answer:
the smaller is 25 and the bigger one is 30 .
Step-by-step explanation:
1.
x+y=55
y-5=x
------------
2.
x+y=55
y-x=5
2y = 60
y = 30
30 - 5 = 25
 
        
             
        
        
        
Since she has seven key the probability that the first one will open the door is

if it takes three attempts to open the door,the probability is 

if the three attempts would not work 
then the probability that the fourth attempt will open the door is

hope this helps
 
        
        
        
It’s corresponding angles