Answer:
Step-by-step explanation:
Sum of exterior angles of any polygon =360°
Sum of exterior angles of polygon = 360°
m + 5 + 2m + 3 + 3m + 2 + 4m + 1 + 5m + 4 = 360
m + 2m + 3m + 4m + 5m + 5 + 3 + 2 + 1 + 4 = 360 {Combine like terms}
15m + 15 = 360 {Subtract 15 from both sides}
15m = 360 - 15
15m = 345 {Divide both sides by 15}
m = 345/15
m = 23
m + 5 = 23 + 5 = 28°
2m + 3 = 2*23 + 3 = 46 + 3 = 49°
3m + 2 = 3*23 + 2 = 69 + 2 = 71°
4m + 1 = 4*23 + 1 = 92 + 1 = 93°
5m + 4 = 5*23 + 4 = 115 + 4 = 119°
Let one angle be x
Let another angle be 17x
17x+x = 90
18x = 90
x = 90/18 = 5
one angle = x = 5
another angle = 17x =17*5 = 85
I hope it is helpful:D
Answer:
x = 14/3 + sqrt(217)/3 or x = 14/3 - sqrt(217)/3
Step-by-step explanation:
Solve for x:
x + 4 + 1/x = (10 x)/7
Bring x + 4 + 1/x together using the common denominator x:
(x^2 + 4 x + 1)/x = (10 x)/7
Cross multiply:
7 (x^2 + 4 x + 1) = 10 x^2
Expand out terms of the left hand side:
7 x^2 + 28 x + 7 = 10 x^2
Subtract 10 x^2 from both sides:
-3 x^2 + 28 x + 7 = 0
Divide both sides by -3:
x^2 - (28 x)/3 - 7/3 = 0
Add 7/3 to both sides:
x^2 - (28 x)/3 = 7/3
Add 196/9 to both sides:
x^2 - (28 x)/3 + 196/9 = 217/9
Write the left hand side as a square:
(x - 14/3)^2 = 217/9
Take the square root of both sides:
x - 14/3 = sqrt(217)/3 or x - 14/3 = -sqrt(217)/3
Add 14/3 to both sides:
x = 14/3 + sqrt(217)/3 or x - 14/3 = -sqrt(217)/3
Add 14/3 to both sides:
Answer: x = 14/3 + sqrt(217)/3 or x = 14/3 - sqrt(217)/3
Answer: 920
Step-by-step explanation:
828 divided by 0.9 will give you the answer
Answer:
7/11
Step-by-step explanation:
