Carly stated, "All pairs of rectangles are dilations." Which pair of rectangles would prove that Carly's statement is incorrect? A rectangle with length 4 and width 2. A rectangle with length 8 and width 4. A rectangle with length 4 and width 2. A rectangle with length 6 and width 3. A rectangle with length 4 and width 3. A rectangle with length 3 and width 2. A rectangle with length 4 and width 3. A rectangle with length 2 and width 1.5.

this is answer of 144 cubic meters

< 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)