Which statement is true about the expression 4(10-8x)? A. As the value of x increases by 1, the value of the expressionincreases by 4.
B. As the value of x increases by 1, the value of the expressionincreases by 40.
C. As the value of x increases by 1, the value of the expressiondecreases by 8.
D. As the value of x increases by 1, the value of the expressiondecreases by 32.

< 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)