Answer:
I think option D is write answer
I hope you help
Supplementary angles are angles that are adjacent to each other and when summed to get a total of 180 degrees. In this case, DEF and FEG are supplementary. Thus the equation is <span>9x +1 + 8x + 9 = 180 = 17 x + 10; x then is equal to 10 so
<</span>DEF = <span>9*10 +1 =91 degrees
</span><FEG = <span>8*10 + 9 = 89 degrees</span>
The volume of the box is length * width * height
x^3 + 9x^2 + 6x - 16 = (x + 2) * width * (x + 8) = (x^2 + 10x + 16) * width
using synthetic division
-2 1 9 6 -16
-2 -14 16
-8 1 7 -8 0
-8 8
1 -1 0
Therefore, x^3 + 9x^2 + 6x - 16 = (x + 2)(x + 8)(x - 1)
Therefore, the width of the prism is x - 1
We know the combined area is 100π, and the combined area includes the white section as well as the orange section.
now, if we take the area of the white circle, and "subtract" it from the combined area, we're in effect, making a whole in the larger circle, and what's leftover is just the orange part, because the white would have been subtracted out,
101.7755814 miles for only 8.03 gallons