Mike paid $13 for three books diego bought 12 books price at the same rate how much did diego pay for 12 bucks explain your reasoning

Diego paid $52 for 12 books.

Step-by-step explanation:

If Mike bought 3 books for $13 that means that a book cost him $ 4.33

$ 13/3 = $ 4.33

And if Diego bought 12 books for the same price, how much did it cost?

An equation called "Rule of 3" is used:

1 book = $ 4.33

12 books = X

The X of the equation is cleared:

X = (12 books * $ 4.33) / 1

X = $ 52 for the 12 books Diego bought.

tip $2.90

total $17.40

< 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)