A circle with area 9π has a sector with a central angle of 17π/9 radians. What is the area of the sector?

8.5pi

Step-by-step explanation:

We can solve this problem with a rule of three.

The area of the whole circle is represented by a sector with central angle of 2*pi. So, if we want to find the area of a sector that has a central angle of 17pi/9, we can use the following logic:

sector of 2pi -> area equal to 9pi

sector of 17pi/9 -> area equal to X

2pi / (17pi/9) = 9pi / X

18 / 17 = 9pi / X

X = 17 * 9pi / 18 = 17pi / 2 = 8.5pi

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer