The formula for the sum of the interior angles of a polygon is (n-2)*180, where n is the number of sides.
So, you'd have:
180(24-2)
180(22)
3960
3960 degrees is the sum of all the measures of the interior angles of a 24-gon. Now, to find how much each angle measures in a regular 24-gon, simply divide this: 3960/24.
You can use a calculator to solve this, but to actually give you the answer to your question:
3960/24=165
In a regular 24-gon, each angle's measurement is 165 degrees.
Can you answer the question that it’s in blue please
Answer:
2k^2+12
Step-by-step explanation:
remove parentheses, simplify calculate
Answer:
6.25 feet.
Step-by-step explanation:
Please find the attachment.
Let L be the length of the ramp in feet.
We have been given that steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. The ramp make a 30° angle with the ground.
We can see from our attachment that ramp and truck bed forms a right triangle with ground. The truck bed is opposite side and length of ramp is hypotenuse of our given angle.
Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use Sine to solve for L.

Upon substituting our given values in above formula we will get,




Therefore, the length of the ramp is 75 inches.
Let us convert the length of ramp in feet.
1 feet = 12 inches.




Therefore, the length of the ramp is 6.25 feet.
Answer:
x= 12
Step-by-step explanation:
Here we have vertical angles, this means that they are angles that are across from each other on vertical lines. So, they equal each other.
The equation would be: 60= 5x
The only step is to divide 5 to both sides of the equation.
<u>60</u>= <u>5x</u>
5 5
x= 12