Suppose you own a bicycle but haven't found the time to ride it much lately. these days, it is only worth $41 to you. one of your close friends, who recently got a job at the college bookstore two miles down the road, wants to take it off your hands. he offers you $70 for the bicycle, and you gladly accept. your friend is also happy because he thinks the bicycle is worth $91 . how much total value was created from this trade?

Value of the bike = $41

Value of the bike for buyer = $70

Bike value buyer thinks = $97

Solution:

Value for bicycle owner: $70 - $43 = $27
Value for buyer: $97 - $70 = $27
Total value: $27 * 2 = $54

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.

answer; it can vividly demonstrate product attributes and persuasively explain their corresponding consumer benefits;