The volume of a rectangular prism is found using the formula v = l · w · h, where l is the length, w is the width, and h is the height. complete the equation that models the volume of the tray in terms of its width, x, in centimeters. x2 + x = is it possible for the width of the tray to be 7.5 centimeters?

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

< 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)