The sum of 5 is equal to 8 less than 6 times y

Given data: The sum of 5 is equal to 8 less than 6 times y

Let us convert algebraic expression into equation.

5 = 6 × y – 8

⇒ 5 = 6y – 8

⇒ 5 + 8 = 6y  (Add 8 on both sides to equal the expression)

⇒ 13 = 6y

⇒   (Divide 6 on both sides to equal the expression)

⇒ y = 2.166

Hence the answer is 2.166.

step-by-step explanation:

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584