What is the volume of the prism shown? A) 149.9 cubic inches
B) 268.2 cubic inches
C) 173.9 cubic inches
D) 291.8 cubic inches

145.9 cubic inches

Step-by-step explanation:

The volume of a triangular prism is:

1/2 x length x width x height

Use the formula with the given dimensions:

1/2 x 5.27 x 8.13 x 6.81 = 145.8875655

Round it up to the nearest tenths:

145.8875655 —> 145.9

I hope this helps!

a² + b²= c²

24² + 7² = c²

c= 25

< 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)