& Three angles of a quadrilateral are in the ratio 3 : 5 : 8. The mean of these
angles is 80°. Find all the four angles of the quadrilateral. ​

See answers below

Step-by-step explanation:

Given the ratio of three angles as 3:5:8

Total ratio = 3+5+8 = 16

Mean = x+y+z/3

80 = x+y+z/3

x+y+z= 240

To get x;

x =3/16 * 240

x = 45degrees

To get y;

y = 5/16 * 240

y = 5 * 30

y = 75degrees

To get z;

z = 8/16 * 240

z = 120 degrees

Fourth angle = 360 - (120+75+45)

Fourth angle = 360-240

Fourth angle - 120 degrees

answer: she must produce at least 9,000 windows in order to make a profit of $48,000

explanation:

48,000 - 12,000 = 36,000

36,000/4 = 9,000

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116