9514 1404 393
Answer:
2/3
Step-by-step explanation:
The ratio of any corresponding coordinates will give the scale factor.
Using the x-coordinates of C' and C, we have ...
scale factor = C'/C = 4/6 = 2/3
The dilation scale factor is 2/3.
We want to see if the given function represents a linear function.
We will see that yes, it does.
So we have the function:
y = f(x) = 30 + 5*x
And a general linear function is written as:
y = a*x + b
where a is the slope and b is the y-intercept.
Comparing these two, we can see that both have the same general shape, thus, our function is also a linear function.
A graph of our function also can be seen below, where it is evident that it is a line.
If you want to learn more, you can read:
brainly.com/question/20286983
Answer: the number of adult tickets sold is 400
the number of student tickets sold is 200
Step-by-step explanation:
Let x represent the number of adult tickets sold at the play.
Let y represent the number of student tickets sold at the play.
Adult tickets to a play cost $1.75 each and student tickets cost $1.25 each. If the income from the play was $1,700, it means that
1.75x + 1.25y = 1700 - - - - - - - - - -1
Suppose there are twice as many student tickets sold as adult tickets. This means that
y = 2x
Substituting y = 2x into equation 1, it becomes
1.75x + 1.25 × 2x = 1700= 1700
1.75y + 2.5y = 1700
4.25y = 1700
y = 1700/4.25 = 400
x = y/2 = 400/2 = 200
Since the angles are supplementary, we know that they must add up to equal 180 degrees by the definition of supplementary angles
set the sum of the 2 angles to equal 180 and solve for x
6x + 48 + 60 = 180
6x + 108 = 180
6x = 72
x = 12
you could check to make sure that your x value is correct by plugging it back into the equation
6(12) + 48 + 60 = 180
72 + 48 + 60 = 180
120 + 60 = 180
180= 180
hope this helped!
