The ecology class would like to create a circular vegetable garden to grow various organic fruits and vegetables. One sector
of the garden will need a special type of soil for growing blueberries. The students would like to put a rock barrier between
the blueberries and other vegetables to designate the area. The area of the sector of blueberries is 24. ft?, and the central
angle is 9-60°. Find the length of the rock barrier (i. e., the radius of the circle).
A r= 2 ft
B r= 8.48 ft
C. r= 12 ft
D. r= 144 ft

yes because they have the same amount of green and blur marbles.

step-by-step explanation:

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)

the answer is  

a.

28 ft2

step-by-step explanation: