Answer:
Step-by-step explanation:
The Pythagorean Theorem holds for both positions.
The first configuration is an 6-8-10 right triangle.
The second configuration using the Pythagorean Theorem:
10^2 = (8-2x)^2 + (6 + x)^2
100 = 64 - 32x + 4x^2 + 36 + 12x + x^2
100 = 100 - 20x + 5x^2
5x^2 - 20x = 0
5x(x - 4) = 0
x = 4 feet (we throw out the x = 0 solution as extraneous)
Answer: 162% of original price was paid by Stanley for the bike.
Step-by-step explanation:
let the original price paid by Sam be x
Then Sam sold his bike to Suzie for 35% more than he paid for it.
Price paid by Suzie = x + 35% of x = x + 0.35 × x = 1.35 x
After which Suzie then sold the bike to Stanley for 20% more than what she paid for it.
Price paid by Stanley = 1.35 x + 20% of 1.35x = 1.35 x + (0.20) × 1.35x = 1.62x
Percent of the original price paid by Stanley for bike
Hence,162% of original price was paid by Stanley for the bike.