Answer:
y = 120°
Step-by-step explanation:
angles in a triangle add up to 180 degrees
180 - (87 +33) = 60
x = 60 degrees
angles on a straight line add up to 180 degrees
180 - 60 = 120
y = 120
Answer:
It will take 10^3 days for the comet to reach earth.
Step-by-step explanation:
10^8 = 100,000,000
10^5 = 100,000
100,000,000/100,000 = 1,000
1,000 is equal to 10^3
So it will take the comet 10^3 days to reach earth.
Comment
There are 12 months in a year. He plans on visiting 8 times each month.
Step One
Find the number of visits per year.
<em>Givens</em>
Number of visits per month = 8
Number of months per year = 12
Visits = # visits / month * number of months
Visitis = 8 * 12
Visits = 96 visits in total.
Step Two
<em>Calculate the cost / visit</em>
Total Cost = 414 visits.
Total Visits = 96
Cost / Visit = Total Cost / Total visits.
Cost / Visit = 414 / 96
Cost / Visit = 4.31 roughly.
Let x = number of students enrolled in both Science and Arts.
Then the number of students taking Science only is 17 – x and,
the number of students taking Arts only is 19 – x.
We know that
Total # of students in class = # Science only + # Arts only + Both Arts & Sciences + # Any
= (17 – x) + (19 – x) + x + 2
= 38 + x
This should be equal to 30 as given. So,
38 – x = 30
Subtract 38 from both sides:
–x = –8
So x = 8.
Answer: 8
