The amended telemarketing and consumer fraud abuse protection act of 1994 states: a consumer [can] stop calls from all companies within the ftc's jurisdiction by placing his or her telephone number on a central "do-not-call" except when the consumer has an "established business relationship" with the seller on whose behalf the call is made. an economic aspect of the federal trade commission's "do-not-call" registry is that it a) reduces the amount of junk mail received by consumers. b) permits telemarketing calls to new clients on the registry. c) restricts all telemarketing calls to consumers on the registry list. d) allows consumers to engage in voluntary transactions with businesses.

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.