11. The two angles are vertical angles, which mean they are equal to each other.
14x - 5 = 13x
Add 5 to both sides:
14x = 13x + 5
Subtract 13x from both sides:
x = 5
12. The two angles are supplementary and when added together need to equal 180 degrees.
5x -20 + 3x = 180
Combine like terms:
8x -20 = 180
Add 20 to both sides:
8x = 200
Divide both sides by 8:
x = 200 /8
x = 25
Answer:
($13,300,$46,900)
Step-by-step explanation:
We are given the following in he question:
Mean, μ = $30,100
Standard Deviation, σ = $5,600
Chebyshev's Theorem:
- According to theorem atleast
percent of data lies within 2 standard deviations of mean. - For k = 3,

Thus, 89% of data lies within three standard deviation of mean.

Thus, we expect at least 89% of new car prices to fall within ($13,300,$46,900)
Answer:
I am not sure but think that the answer is 1/20
Answer: 
Step-by-step explanation:
<h3>
The complete exercise is: "Line segment YV of rectangle YVWX measures 24 units. What is the length of line segment YX?"</h3><h3>
The missing figure is attached.</h3>
Since the figure is a rectangle, you know that:

Notice that the segment YV divides the rectangle into two equal Right triangles.
Knowing the above, you can use the following Trigonometric Identity:

You can identify that:

Therefore, in order to find the length of the segment YX, you must substitute values into
and then you must solve for YX.
You get that this is:
