5a - 25d factor using the GCF

5(a-5d)

Step-by-step explanation:

The GCF (the largest number that can be factored evenly out of the expression is 5. Thus, we divide out 5 from the expression, leaving a and -5d inside of the paranthesis.

We can check our work by redistributing 5 to the factor within the parenthesis. This will prove whether or not your factoring is correct. In this case, taking out the 5 is the correct factorization.

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

$5.41

step-by-step explanation:

$20 - $14.51 = $5.49.