Nestor cuts a cake with a 12-inch dameter One of the pleces he cuts has a central angle of 24° What is the area of the sice of cake? What fraction of the entire cake is this? Explain pleces he cuts has a central angle of 24 s

7.54 sq. inches

Step-by-step explanation:

The cake with the cut portion has been shown in the figure below.

For calculating the area of cut part we first need to calculate the area of whole cake.

Diameter of the cake is given in the question as 12 inches.

So the area of the cake = =

Since when the central angle is 360°, the area is 113.04 square inches

So when the central angle is 24°, the area of the section will be

Thus area of the slice cut by Nestor is 7.54 sq. inches.

Fraction =

what graph

step-by-step explanation:

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.