Captain Barnacles has LaTeX: 2\frac{3}{4}2 3 4 bags of soil to put in his kelp forest. Each bag of soil covers 115.3 square feet. How many square feet will Captain Barnacles be able to cover if he uses all the bags of soil?

317.075square feet

Step-by-step explanation:

If each bag of the soil covers 115.3 square feet, we can write;

1 bag = 115.3 square feet

To find the number of square feet 2 3/4 bags can contain, we will say;

2 3/4 bags = x

Divide both expression

2 3/4 = x / 115.3

11/4 = x/115.3

4x = 11*115.3

4x = 1,268.3

x = 1,268.3/4

x = 317.075 square feet

Hence all the bags will cover 317.075 square feet

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8

< 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)