June has a credit card balance of $4,350 that comes with a 19% APR. She would like to have the balance paid off in the next 8 months, but she is having trouble making the monthly payments required to do so. In order to lower her monthly payments, she decides to sell her porcelain doll collection for $2,000 to apply directly to her credit card balance. June still wants to pay off the balance in 8 months. By applying the doll money, how much has June lowered her minimum monthly payment? a. $145. 62 b. $268. 14 c. $315. 06 d. $583. 20 Please select the best answer from the choices provided. A B C D.

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.

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