We know that the right triangle has one 90 degree angle and two acute (< 90 degree) angles. Since the sum of the angles of a triangle is always 180 degrees.

To find x:

(10x - 20) + (6x + 8) = 180

16x - 12 = 180

+12 +12

16x = 192

----- -----

16 16

x = 12

Check:

(10(12) - 20) + (6(12) + 8) = 180

(120 - 20) + (72 + 8) = 180

100 + 80 = 180

180 = 180

Angle (10x - 20):

(10(12) - 20)

(120 - 20)

100

Angle (6x + 8):

(6(12) + 8)

(72 + 8)

6 0

3 years ago

Printing machine A and printing machine B print the same newspaper printout, but machine B prints at half the rate of machine A.

klemol [59]

Answer:

The answer is below

Step-by-step explanation:

Let us assume the rate of printing in machine A is x per hour and the rate for machine B is y. Given that machine B prints at half the rate of machine A, therefore:

y = (1/2)x (1)

Also, both machine produces 200 newspaper printouts, and both operate at different times for a total of 4 hours. Therefore:

200/x + 200/y = 4 (2)

Put y = (1/2)x in equation:

$\frac{200}{x}+\frac{200}{(\frac{1}{2} )x}=4\\ \\ \frac{200}{x}+\frac{400}{x}=4\\\\Multiply\ through\ by\ x:\\\\200+400=4x\\\\4x=600\\\\x=150$

Put x = 150 in equation y:

y=(1/2)150 = 75

Therefore the rate of machine A is 150 newspapers per hour while that of machine B is 75 newspapers per hour

6 0

3 years ago