Answer:
<h3>m∠1 = 49°</h3><h3>m∠2 = 63°</h3><h3>m∠3 = 87°</h3><h3>m∠4 = 44°</h3>
Step-by-step explanation:
m∠1 = 49° (Opposite Angles)
m∠1 + m∠2 + 68° = 180° (The sum of all interior angles of any triangle is equal to 180°)
49° + m∠2 + 68° = 180°
m∠2 + 117° = 180°
m∠2 = 180° - 117°
<u>m∠2 = 63°</u>
m∠3 + 93° = 180° (The angles on a straight line add up to 180°)
m∠3 = 180° - 93°
<u>m∠3 = 87°</u>
m∠4 + 49° = 93° (An exterior angle of a triangle is equal to the sum of its two interior opposite angles.)
m∠4 = 93° - 49°
<u>m∠4 = 44°</u>
Answer: -0.22222222...
Step-by-step explanation:
-2 over 9 can be written as -2/9
So that’s basically -2 divided by 9. If you’d do long division properly, you should get -0.22222222...
Answer:
The percentage of the people surveyed that have a cat is 68%
Step-by-step explanation:
we know that
To find the percentage of the people surveyed that have a cat, multiply the given fraction by 100
so
The equation of line parallel to and containing the point(-10,-3) is
Step-by-step explanation:
We need to write the equation parallel to and containing the point(-10,-3)
The standard form of point slope equation is:
where m is slope and b is y-intercept
Comparing the given equation with standard form the slope is m= -1/5
Since the lines are parallel the slope of new line is m = -1/5
Now finding b (y-intercept)
Using slope m=-1/5 and point (-10,-3)
So, b= -5 and slope = -1/5 the equation of new line is:
So, The equation of line parallel to and containing the point(-10,-3) is
Keywords: Point Slope form
Learn more about point slope form at:
#learnwithBrainly
Answer:
The number of customers needed to break even is
Step-by-step explanation:
Rent per month = $ 7200
Rent per year, $
= $ 86400 -------------(1)
Insurance per year = $ 4200 ---------(2)
Total direct cost for 2 servers (withoout tax) per year,
= $
= $ 60000
Total cost for helper ( without tax) per year,
= $
= $ 15000
Total cost for employees per year (without tax),
= $ (60000 +15000) = $ 75000
Total cost per year for employees including tax,
$
= $
= $ 80737.5 -----------------------(3)
So,
total cost for running the restaurant (except food)
= (1) + (2) + (3) = $
= $ 171337.5
Average total profit per customer,
= ( Average per customer payment - average cost of food per customer)
= $ (45.47 - 20.18)
= $ 25.29
So, total number of customer needed to break even,
=
\simeq 6775