Answer:
m∠APC = 30°
Step-by-step explanation:
To solve for the above question, we would be making use of circle theorems
Looking at the circle, we can see that
m∠APC is an Angle outside the circle
m∠AOC is a smaller arc in the circle.
Therefore, Circle Theorem states that for a circle with two tangents,
The Angle outside the circle + The smaller arc = 180°
Hence,
m∠AOC + m∠APC = 180°
m∠APC = 180° - m∠AOC
m∠APC = 180° - 150°
m∠APC = 30°
Here is a simple way we can do this.
We have six blanks.
__ __ __ __ __ __
Now, we have 13 possible options to fill in blank number one.
13 __ __ __ __ __
Now we have 12 possible options to fill in blank number two because one person has already been chosen.
13 12 __ __ __ __
Now we have 11 possible options for blank number three.
13 12 11 __ __ __
Now we have 10 possible options for blank number four.
13 12 11 10 __ __
And so forth until we get:
13 12 11 10 9 8
Now we just have to multiply the numbers all together.
13 * 12 * 11 * 10 * 9 * 8
is equal to:
1235520 ways.
Answer:
48
Step-by-step explanation:
To find the range, you have to subtract the biggest/largest number by the smallest number:
108 - 60 = 48
The range is 48.
