First, find the measure of an interior angle:
the sum of the interior angles of a polygon is (n-2)*180, n is the number of sides
for a 15-sided polygon, the sum is 13*180
each interior angle is then 13*180/15=156
the measure of each exterior angle=180-156=24
Answer:
513 turkey sandwiches were sold.
Step-by-step explanation:
Let's use 
to represent turkey sandwiches and 
to represent steak sandwiches.
= turkey sandwiches
= steak sandwiches
total sandwiches that were sold
dollars that were made
Now that we know what (steak sandwiches) equals, we plug it in to an equation to find .
Now, we subtract 5,550 from BOTH sides so we can get x by itself.
Next, we divide both sides by 2, so x is bare.
Since x represents turkey sandwiches, we have our answer: 513 turkey sandwiches were sold.
I hope this helps! :)
Answer:
Axis of symmetry is x = -4
Step-by-step explanation:
h(x)= 5x^2+40x+ 64
Use the formula for axis of symmetry: x = -b/(2a)
Here, a = 5, b = 40, c = 64
so
x = -40/(2*5) = -40/10 = -4
Axis of symmetry is x = -4
Answer: 2nd diagram, explanation below
Step-by-step explanation:
Since it is 8 magnet students for 3 magic students, the second diagram is correct.
The second part, you would need to set up a system of equations:
Let m = magnet students and t = magic students
t + 25 = m
(8/3)t = m. Since m = m, substitute: t + 25 = (8/3)(t). Now solve for t: t = 8t/3 - 25,
t = (8t - 75)/3, in this step I turned 25 into 75/3 and place it with 8t so it doesn't change the value of the equation.
3t = 8t - 75, in this step I multiplied every term by 3 to eliminate the demoninator. Now I solve the final steps:
-5t = -75, 5t = 75
t = 15
Hope this helps, please consider making me Brainliest.
Answer:
Step-by-step explanation:
P(A∪B) = 1/6 + 1/2 = 2/3
