There is a theorem that says that, two tangent lines onto a circle that start from the same point are equal. For example, if we were to label the polygon ABCD, the tangent lines going from point A are equal, the lines going from point B are equal, etc.
Since we now know this rule, we can see that, for each point of the polygon you are given 1 out of 2 tangent lines for that point. Using this theorem, we can say that the other tangent line is equal to the first.
So, the bottom two tangents are 98 and 98, the right-side are both 22 and 22, the top are both 27 and 27, and the left are 22 and 22. We need to find the perimeter, or the sum of all the sides of the polygon. Seeing as the sides of the polygon are formed by all the tangent lines, we just have to find the sum of all the tangent lines.
98 + 98 + 22 + 22 + 27 + 27 + 22 + 22 =
= 196 + 88 + 54 (or 2*98 + 4*22 + 2+27) =
= 338 inches
I hope this wasnt too confusing.
2,100 quarts could be made in 12 hours. The rate for that day was 175 quarts every hour. We get this by dividing 350 by 2.
One way to solve this is to look at the size of the poster, and then subtract the size of the picture so you have the area that needs to be painted left.
Area of square poster - 3x × 3x = 9x^2
Area of painting - 2x × 2x = 4x^2
9x^2 - 4x^2 = 5x^2
The area is 5x^2
Answer:
work is shown and pictured
If for is four then x-4=8
thus would make x 12
