Find the surface area of the prism. Write your answer as a decimal.

Surface area of prism is 382.5  sq. in.

Step-by-step explanation:

Total Surface area of prism = Sum of area of all faces

So, Area of triangle ABC =

Area of triangle ABC =

Area of triangle ABC =

Area of triangle DEF = Area of triangle ABC =45 sq. in.

Area of rectangular base ACED=

Area of ABFD =

Area of CBFE=

Total Surface area of prism = Sum of area of all faces =45+45+121.5+81+90=382.5  sq. in.

Hence Surface area of prism is 382.5  sq. in.

The answer is 1 because you have to flip the sign when dividing by negative number and 3

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

ac ≅ ab (given)< cax ≅ < bax   (given)ax ≅ ax (common side)

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

ac ≅ ab (given)< cay ≅ < bay (since < cax ≅ < bax is given and xy is the extension of line ax)ay ≅ ay (common side)

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)