Matt and Meg Comer are married and file a joint tax return. They do not have any children. Matt works as a history professor at a local university and earns a salary of $67,600. Meg works part time at the same university. She earns $35,100 a year. The couple does not itemize deductions. Other than salary, the Comers’ only other source of income is from the disposition of various capital assets (mostly stocks). What is the Comers’ tax liability for 2020 if they report the following capital gains and losses for the year?
Short-term capital gains $ 11,100
Short-term capital losses (4,100)
Long-term capital gains 17,100
Long-term capital losses (8,100)
I keep getting $11,696, but that is not the right answer.

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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