Answer:
Step-by-step explanation:
1) 
O = center of circle (origin)
we know that the angle at the center of the circle ∠ ROS will be 
180= 2(31) + ∠x
180-62 = ∠x
118° = ∠x
The supplemental angle to the 118° will be 62°
62° is the interior angle to  arc QR , so 
arc QR is also 62°
3)
b/c the intercepted arc YZ = 2* 68=136
then 136+125+? = 360
? = 99°
arc ZX = 99°
5)
O= center point
we are given the two arcs  120 and 70 for both of these we know that the 
interior angles will be the same.  ∠JOX  has a central angle of 120 , then
b/c triangle JOX is an isosceles,  we know that the two angles J and X of 
the triangle JOX will be 1/2 of  60 , or 30 each
also for    
also ∠XOY has an interior angle of 70 so the two angle at X and Y will be 1/2 of 110 , or 55°
now add 55+30 to find X for box XYZJ
85° = ∠X  
 
        
                    
             
        
        
        
Answer:
18 sides
Step-by-step explanation:
Each exterior angle of a regular polygon = 20 deg. So the polygon has 360/20 = 18 sides
 
        
             
        
        
        
Answer:
The cost would be same after 3 months.
Step-by-step explanation:
Given that:
Charges of first company;
Sign up fee = $76
Per month charges = $40
Let, 
x be the number of months 
y be the total cost. 
y = 40x + 76      Eqn 1 
Charges of second company;
Sign up fee = $136
Per month charges = $20
y = 20x + 136     Eqn 2
For same cost,
Eqn 1 = Eqn 2
40x + 76 = 20x + 136 
40x-20x = 136 - 76 
20x = 60
Dividing both sides by 20 

Hence,
The cost would be same after 3 months.
 
        
             
        
        
        
First you want to add all of those together. 
12 + 4 + 6 + 2 = 24
So there are 24 miles in total. 
Next, it says she biked 12 miles so you make a fraction.
12 / 24 which can be reduced to 1/2. 
She spent one half of the total distance biking.
Hope this helps!
        
             
        
        
        
The value of a, b and c can be calculated using the inverse function.
The calculated the value of a= 2, b=1 and c= -2.
Given:
 The function is   and its inverse is
 and its inverse is  .
 .
<h3>What is an inverse function?</h3>
- The inverse function of a function is defined if  is a function that undoes the operation of is a function that undoes the operation of . .
- The inverse of  exists if and only if exists if and only if is bijective, and if it exists, is denoted by is bijective, and if it exists, is denoted by . .
Substitute the value of x= -1 in a given inverse function and calculate the value of a.

Substitute the value of x  is 0 in given inverse function.

Substitute the value of x  is 2 in given inverse function.

Therefore, the value of a= 2, b=1 and c=-2.
Learn more about inverse function here: 
brainly.com/question/15912209