Acme corporation has 1,000 shares outstanding. joan and bill are married, and they each own 45 shares of acme. joans daughter, shirley, also owns 45 shares of acme.
joan is an equal partner with jeri in the j& j partnership, and this partnership owns 70 shares of acme.
jeri is not related to joan or bill.

how many shares of acme is shirley deemed to own under the stock attribution rules?

170 shares

Explanation:

Attributed stock:

= Stock owned directly + (Stock owned by mother and father) + (Proportionate stock held by her father in J&J partnership)

= 45 shares + (45 shares + 45 shares) + (70 shares × 50%)

= 45 shares + 90 shares + 35 shares

= 170 shares

Thus, the number of shares held by person S, as stock attribution rules is 170 shares.

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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