Suppose that the market for large, 64-ounce soft drinks in the town of Pudgyville is characterized by a typical, downward-sloping, linear demand curve and a typical, upward-sloping, linear supply curve. The market is initially in equilibrium with 1,000 soft drinks sold per day. The newly-elected Mayor of Pudgyville wants to tax 64-ounce soft drinks. She is considering either a $0.10 tax or a $0.30 tax. Her chief economic advisor estimates that the number of soft drinks sold after a $0.10 tax will be 900 and after a $0.30 tax will be 500. Which tax is better?

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; i believe its (d) intrinsic;