Determine the area for the diagram above pl

see explanation

Step-by-step explanation:

The figure shown has one pair of parallel sides and is a trapezium

The area (A) of a trapezium is calculated using

A = h(a + b)

where h is the height and a, b the length of the parallel sides

here h = 2w, a = w + 3 and b = 4w - 2, hence

A = × 2w(w + 3 + 4w - 2)

   = w(5w + 1) = 5w² + w

never fear papaguy is here

answer

< 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)