Melanie combines 8.65 ounces of strawberries with 8.09 ounces of blueberries to make fruit bowls. She pours the fruit equally into 4 bowls, and has 2.78 ounces of fruit left over. How many ounces of fruit are in each bowl?

Step-by-step explanation:

Step one:

given data

total ounces combined= 8.65+8.09= 16.74 ounces

We are told that the remainder after pouring the fruits into four bowls is

2.78 ounces, hence what was divided is

= 16.74-2.78=13.96 ounces

Now the amount that was divided is 13.96 ounces

hence a bowl took 13.96/4= 3.49 ounces

< 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)