aleko’s pizza has delivered a beautiful 16 inch diameter pie to lee dorm room. the pie is slice into 8 equal sizes pieces, but lee is such a non-conformist he cuts off an edge as pictured. john then takes on e of the remaining triangular slices. who has more pizza and by how much?

Lee has more pizza

Lee has 2.24 in^2 more than John

Step-by-step explanation:

step 1

Find the area of each slice of pizza

we have

----> the radius is half the diameter

substitute

step 2

Find the area of John's part (area of shaded triangle)

The measure of the central angle of each slice of pizza is equal to

so

the height of triangle is equal to the base

Let

x ---->the base of the shaded triangle

Remember that

substitute

solve for x

Find the area of shaded triangle

step 3

Find the area of Lee's part

The area of Lee's part is equal to the area of two slices of pizza minus the area of two triangles

so

assume

so

Lee's part is greater than John part's

Find the difference

therefore

Lee has more pizza

Lee has 2.24 in^2 more than John

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

the answer

b. they are parallel and will never intersect.