02.07)The figure shows two parallel lines AB and DE cut by the transversals AE and BD:
2 answers:
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I found the complete problem.
If Alice divides it into two trapezoids, the area formula would be: A = [(a+b) / 2] * h
Trapezoid 1
A = [(7.5 + 15)/2 * 5
A = (22.5/2) * 5
A = 11.25 * 5
A = 56.25 sq. ft
Trapezoid 2
A = [(5 + 10)/2 * 7.5
A = (15/2) * 7.5
A = 7.5 * 7.5
A = 56.25 sq. ft
Total area = 56.25 + 56.25 = 112.50 sq. ft.
If Alice divides it into two trapezoids, the area formula would be: A = [(a+b) / 2] * h
Trapezoid 1
A = [(7.5 + 15)/2 * 5
A = (22.5/2) * 5
A = 11.25 * 5
A = 56.25 sq. ft
Trapezoid 2
A = [(5 + 10)/2 * 7.5
A = (15/2) * 7.5
A = 7.5 * 7.5
A = 56.25 sq. ft
Total area = 56.25 + 56.25 = 112.50 sq. ft.
Answer:
Yes! There are 3 different explanations I have. Pick your favorite.
Step-by-step explanation:
So we are asked to see if the following equation holds:
The units cancel out ft/ft=1 and sec/sec=1.
So we are really just trying to see if 4/6 is equal to 12/18
Or you could cross multiply and see if the products are the same on both sides:
Cross multiply:
Since you have the same thing on both sides then the ratios given were proportional.
OR!
Put 4/6 and 12/18 in your calculator. They both come out to have the same decimal expansion of .66666666666666666(repeating) so the ratios gives are proportional.
OR!
Reduce 12/18 and reduce 4/6 and see if the reduced fractions are same.
12/18=2/3 (I divided top and bottom by 6)
4/6=2/3 (I divided top and bottom by 2)
They are equal to the same reduced fraction so they are proportional.