A coat factory had seven hundred sixty-six coats. If they wanted to put them into forty boxes, with the same number of coats in each box, how
many extra coats would they have left over?

There would be 6 extra coats.

Step-by-step explanation:

If you want the calculator explanation here it is: when you divide 766 by 40, you get 19.15. Take away the decimal places and just multiply 40 by 19. This equals seven hundred and sixty. Since we started with seven hundred sixty-six that means there are 6 extras.

Hope that this helped!!:)

< 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)

3

step-by-step explanation:

because where the point where the 2 lines intersect is (3,-1) the x value is 3