2) -4x – 6(3x + 4) = -4 + 8(1 - x)

x=-2

Step-by-step explanation:

-4x – 6(3x + 4) = -4 + 8(1 - x)

Distribute

-4x – 18x  -24 = -4 + 8 -8x

Combine like terms

-22x -24 = 4-8x

Add 22x to each side

-22x+22x -24 = 4-8x+22x

-24 =4+14x

Subtract 4 from each side

-24-4 = 4+14x-4

-28 = 14x

Divide each side by 14

-28/14 =14/14

-2 =x

answer: $201

step-by-step explanation: to get the answer, you first get 3 nieces that he sold and multiply it by 67 and get $201, so he earned $201 selling his nieces.

< 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)