T. l. jones trucking services establishes a petty cash fund on april 3 for $200. by the end of april, the fund has a cash balance of $97. the company has also issued a credit card and authorized its office manager to make purchases. expenditures for the month include the following items: utilities (credit card) $435entertainment (petty cash) 44 stamps (petty cash) 59plumbing repair services (credit card) 630record the establishment of the petty cash fund on april 3, all expenditures made during the month, and the replenishment of the petty cash fund on april 30. the credit card balance is paid in full on april 30.

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.

c

explanation: