Jennifer made a $2,000 down payment on a new car. She financed the remaining $8,500 through First National Bank. She stopped making payments after she had paid $4,000. First National repossessed the car and sold it for $5,500. Can the bank keep the excess of the net proceeds? Who should receive the excess funds? *

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.

you're crazy if you think that someone is going to write a 500 word report for you.

u = 30

continuing your method

= +

subtract from both sides

= - thus

= -

= ⇒ u = 30