Answer:
3240 degrees.
Step-by-step explanation:
Here (as you said), this 20-gon is convex. In the image below, that is #1. One interior angle is 162 degrees. Simply multiply that by 20 to get 3240 degrees as the sum.
Answer:
°
Step-by-step explanation:
The angle shown in the figure is known as an external angle.
Also, <u>in a regular polygon (like the regular octagon) the sum of all the exterior angles is the same regardless of the number of sides of the figure</u>:
°
And to find the measure of a single external angle (such as the angle 
shown in the figure) we must <u>divide 360 ° by the number of sides n:</u>
and for the regular octagon, since it has 8 sides:
so the value of x is:
°
the measure of angle x is 45° which is the second option
Answer:
21
Step-by-step explanation:
Answer: Horse at Z (1640.1m from barn)
To answer this question you need to determine each horse distance to their barn. For horse H the distance would be
X: 1-(-3)= 4
Y: 10-(-9)= 19
If you use <span>Pythagoras theory then the distance would be
</span>BH^2= 4^2 + 19^2
BH^2= 377
BH= 19.416
Horse H is 1941.6m from the barn
For horse Z the distance would be:
X: 10- (-3)= 13
Y: 1-(-9)= 10
BZ^2 = 13^2 + 10^2
BZ^2 = 269
BZ= 16.401
Horse Z is 1640.1m from barn, a bit closer than horse H
Answer:
15 in.
Step-by-step explanation:
The area of the left-most square is 81 in.^2. Area = L*W (Length times width), and since we know squares are always equal on each side, we can do 9*9=81. That means the left side of the triangle is 9.
Then, we move to the bottom-most square. The perimeter is 48 in. As said before, we know all sides of a square must be equal. We will divide 48 by 4, as that's how many sides a square has (mind-blowing!), and we get 12. That means, using the Pythagorean Theorem, (9^2) + (12^12) = C^2. We can simplify this to 81 + 144 = C^2, or 225 = C^2 if you add those two numbers together. We can take the square root of both sides to get C = 15!
