Answer:
x = 60
y = 30
Step-by-step explanation:
We know that all triangles' interior angles combined must have a sum of 180.
Since the triangle on the left is a equilateral triangle, we know that each angle is equal to 60.
Since we already know that the sum of the two angles in the top right is 90 (shown by the right angle symbol) and we know that the angle that isn't y is equal to 60, we must do the following step:
90 - 60 = y
90 - 60 = 30
y = 30
Now that we know the value of y, it's time to find the value of x.
We know that y = 30 and that the angle in the bottom right is equal to 90 (shown by right angle symbol).
Since all triangles' interior angles combined must have a sum of 180 and we already know that one angle is equal to 30 and the other is equal to 90, we must do the following:
180 - (90 + y) = x
180 - (90 + 30) = x
180 - 120 = x
180 - 120 = 60
x = 60
This gives us the answers y = 30 and x = 60
Answer:
* Answer * there you go
Step-by-step explanation:
Answer:
V≈1256.64
Step-by-step explanation:
Volume of a cylinder is V=πr2h. So you plug in 5 for r and 16 for h
FOIL = First, Outside, Inside, Last
First - 2x*2x^2
Outside - 2x*(-5)
Inside - 3*2x^2
Last - 3*(-5)
Putting all of this together, we get 2x*2x^2 + 2x*(-5) + 3*2x^2 + 3*(-5), which would be option B
Answer:
13)
Line A - slope/constant of proportionality = 5/2
Line B - slope/constant of proportionality = 2/3
14)
unit rate = 3/2 or 1.5
The unit rate, 3/2, is greater than line B's unit rate but is less than line A's unit rate.
Step-by-step explanation:
To find the constant of proportionality for question 13 you use the graph. k = y/x so you find the point at (4, 10) and you go up 10 (y) and over 4 (x). So now you have 10/4 and then you simplify to 5/2. Use the same method for line B to find the slope. Now for question 14 you subtract 10 - 5 to get 5 which is your x and 15- 7.5 to get 7.5 which is the y. So this is now 7.5/5 (y/x) or 3/2. 3/2 is less than 5/2 and greater than 2/3.
Thank you so much!!! Hope this helps!!!
