Answer:
The answer should be: r ≈ 8.21
interior angle of n-gon formula: 180 - ( 360 / n)
a 30 sided polygon, so in this case n = 30
so
interior angle = 180 - ( 360 / 30)
interior angle = 180 - 12
interior angle = 168
answer
168 degrees
Answer:
80 square feet
Step-by-step explanation:
You can split it into a rectangle and a triangle. The area of the rectangle would be 2 * 16 = 32 square feet.
Next, you need to find the height of the triangle. To do this, you can split the triangle into two right triangles and use the pythagorean theorem to find the height. The dimensions of one of the right triangle is 8 for one of the legs and 10 for the hypotenuse. Using the pythagorean theorem, 8^2 + b^2 = 10^2, which is 64 + b^2 = 100, so b^2 = 36 and b = 6. This means that the height is 6. Now, you find the area of the triangle and you get 16 * 6 / 2 = 48.
Adding the area of the rectangle and the triangle: 32 + 48 = 80
Not sure why that's not an answer choice, I'm fairly confident it's right.
Answer:
A rectangle is a geometric figure in which all four angles are 90 degrees. So if you have a missing side and it is a true rectangle, then you know the missing angle is 90 degrees. However, you could be working with a rectangle that is slanted. This is known as a parallelogram. To find the missing angle in such a case, you need to know that all the angles will add up to 360 degrees.
Write out the three known sides. For example, assume you have angles of 120, 120 and 60.
Write out an algebraic expression. Because you know the sum of all four sides must equal 360 degrees, your expression in the example will be 120 + 120 + 60 + X = 360.
Solve for X. Add together all of the angles. Subtract the amount from 360. In the example, 60 degrees is the missing angle.
Step-by-step explanation:
