Michael and Kathy have one dependent, Dustin, who is in his third year of college. Michael is taking classes in the evening toward an MBA. What credits can Michael and Kathy claim related to tuition they pay for these programs. I. American Opportunity Tax Credit II. Lifetime Learning Credit

I and II

I. American Opportunity Tax Credit

II. Lifetime Learning Credit

Explanation:

From the question, we are informed that Michael and Kathy have one dependent, Dustin, who is in his third year of college and that Michael is taking classes in the evening toward an MBA.

The credits that Michael and Kathy can claim related to tuition they pay for these programs are American Opportunity Tax Credit and the Lifetime Learning Credit.

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.