What is the area of the composite figure?
(8pi+ 6) in2
(8pi+ 12) in2
(8pi+ 18) in 2
(8pi+ 24) in.2

12+8pi  in^2

Step-by-step explanation:

We have a semicircle with radius of 4

A = 1/2 pi r^2

A = 1/2 pi (4)^2

A = 1/2 (3.14) 16

A = 8pi

We also have a triangle with base (4+4) = 8 and a height 3

A = 1/2 bh

A = 1/2 (8)3

A = 12

Add them together

A = 12+8pi  in^2

12

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.