If net income for a proprietorship was $50,000, the owner withdrew $20,000 in cash, and the owner invested $10,000 in cash, the capital of the owner increased by $40,000. True False

True

Explanation:

A proprietorship is a business managed and owned by one person. Legally, there is no distinction between the person and the business. Income from the business is the owner's income.

The owner's capital account is used to record increases or decrease in equity. Profits increase capital, while losses reduce it. Drawings are money taken out by the owner and will reduce capital, but additional investment increase equity.

An income 50,000 will increase capital by 50,000. An additional investment of 10,000 will make capital raise to a net increment of 60,000. Drawing will reduce the capital by 20,000, resulting in a net increment in the capital of 40,000.

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.