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 
.
<h3>What is an inverse function?</h3>
- The inverse function of a function is defined if
is a function that undoes the operation of .
- The inverse of exists if and only if 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
