<span>The measure of one angle of a triangle is 108. The measures of the other two angles are in a ratio of 1:5
108 + x + 5x = 180</span>
Answer:
Each shade has a 22.5 degree angle from the middle
Each unshaded has a 67.5 degree angle from the middle.
Step-by-step explanation:
You can solve this by making each unshaded part equal to x and each shaded part equal 1/3x it is a circle so it has to equal 360 so you end up with:
x + 1/3x + x + 1/3x + x + 1/3x + x + 1/3x = 360
Combine Like terms:
16/3x = 360
Multiply both sides by the opposite:
(3/16) (16/3x) = (360) (3/16)
x=135/2 or x=67.5
Then you can plug 67.5 in for x:
1/3x ---> 1/3(67.5) = 22.5
2/3 is equivalent to 16/24
and 5/8 is equivalent to 15/24 miles
15/24+16/24= 31/24
31/24 simplifies to 1 6/24
Which simplifies down to 1 1/6
Miles ran 1 and 1/6 miles
Answer:
(C)81
Step-by-step explanation:
Total Number of Students =300
Percentage who had cats, n(C) = 40%
Percentage who had both cats and dogs , 
= 12%
Percentage who had neither cats nor dogs, 
=45%
Now:
Universal Set, 
Therefore:
Number of Students who had dogs
=27% of 300
=81
