Answer:
Measure of minor angle JOG is 
Step-by-step explanation:
Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.
.
Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle
.
To calculate the central angle, use the arc length formula as follows.
Where
is measured in radian.
Substituting the value,
Dividing both side by 120,
Reducing the fraction into lowest form by dividing numerator and denominator by 40.
Therefore value of central angle is
, since angle is in radian
Now convert radian into degree by using following formula,

So multiplying
with
to convert it into degree.

Simplifying,

So to nearest tenth, 
The correct answer is C. One
<h3>
Answer: 5 < x < 29</h3>
=========================================
Explanation:
Since AB is smaller than AD, this must mean the angle ACB is smaller than angle ACD. Note how these angles are opposite the sides mentioned.
So 2x-10 < 48
At the same time, 2x-10 is also larger than 0.
Overall, we can say 0 < 2x-10 < 48
---------
Let's solve for x
0 < 2x-10 < 48
0+10 < 2x < 48+10 ...... add 10 to all sides
10 < 2x < 58
10/2 < x < 58/2 ..... divide all sides by 2
5 < x < 29
I believe this is how you do it...
AI=5, 5 squared=25
IF=12, 12 squared=144
144+25 (only because line A F is bigger than AI or IF does it add)
A F=169
Answer:

Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference is equal to

we have

substitute

step 2
we know that
The circumference of a circle subtends a central angle of 360 degrees
so
using proportion
Find out the arc length by a central angle of 168 degrees
