Using the reciprocal services method, which of the following equations represents the algebraic expressions for the two equations needed to capture the total costs of a Janitorial Department (J) that includes not only $500,000 of direct costs but also 25% of the Maintenance Department (M) cost and the Maintenance Department that includes not only $450,000 of direct costs but also 30% of the Janitorial Department?A. J = $500,000 + (0.25 ÷ M) and M = $450,000 + (0.30 ÷ J)
B. J = ($500,000 × 0.25) + M and M = ($450,000 × 0.20) + J
C. J = $500,000 - (0.25 × M) and M = $450,000 - (0.20 × J)
D. J = $500,000 + (0.25 × M) and M = $450,000 + (0.20 × J)

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)

his chances of getting a coin of higher value is 4/19

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

80 the answer is 80

step-by-step explanation: