On january 1, 2018, jay company acquired all the outstanding ownership shares of zee company. in assessing zee’s acquisition-date fair values, jay concluded that the carrying value of zee’s long-term debt (8-year remaining life) was less than its fair value by $15,000. at december 31, 2018, zee company’s accounts show interest expense of $13,800 and long-term debt of $300,000. what amounts of interest expense and long-term debt should appear on the december 31, 2018, consolidated financial statements of jay and its subsidiary zee? interest expense long-term debt a. $15,675 $315,000 b. $15,675 $313,125 c. $11,925 $315,000 d. $11,925 $313,125

answer:

25

explanation:

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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