In the diagram below, triangle abc is an isoceles right triangle that overlaps square adef. ef=4 and ac=8. what is the ratio of the area of the quadrilateral edbc to the area of pentagon afecb? express your answer as a common fraction.

EDBC is a trapezoid

We know AC=8 and since the sides of an isosceles right triangle are in ratio

we conclude

We have a square so AD=ED=EF=4.

DB is the height of the trapezoid,

So the area of the trapezoid is

AFECB is the sum of two isosceles right triangles AFE + ABC so has area

That's a ratio of 8:24:8 or 1:3

That must mean that ADE and AFE each have area 8 as well.

1/3

0.0076, if you meant 4.125 divided by 0.03125 it would be 132

step-by-step explanation:

first you have to move the decimal in 0.03125 over until its behind the 5 which is 5 places over. now the number is 3125

then you have to move the decimal in 4.125, 5 places over. now the number is 4,112,500.

now you divide like you would normally would and get 0.0076

answer:   expression= p+p*d%

price reduction + sale price = $625

sale price: $p+$p*d%

where d% is the percentage of discount

step-by-step explanation:

original price = p

price went down by $150 price reduction $p*d%

sale price= $ 475

therefore the price before sale is: $625

and the expression that shows the price before sale is: p+p*d%