2 points 2. Cranberry juice costs $7.25 per quart and apple juice costs $4.25 per quart. Terrence
wants to make a mixture of apple and cranberry juice that sells for $5.50 per quart. How
many quarts 9 of cranberry juice should he mix with 8 quarts of apple juice to make
cranberry-apple juice at that price? Which equation below represents the situation?
7.259 + 34 = 5.50(q + 8)
4.259 +58 = 5.50(q + 8)
7.25(q - 8) + 34 = 5.504
4.25(q - 8) + 58 = 5.504

care to share were the trapezoid shown is ?

< 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)