Answer: x = 6
Step-by-step explanation:
We know that the angles combined are complementary, meaning they add up to 90 degrees.
Therefore, we can make this equation:
(x + 54) + 5x = 90
Then, combine like terms.
x + 54 + 5x = 90
6x + 54 = 90
Now, subtract the 54 from that side.
6x = 90 - 54
6x = 36
Next, divide!
= 
x = 6
Answer:
37 degrees
Step-by-step explanation:
As XW and YZ are parallel lines, you can use the co-interior angle rule to solve for x.
This is when you see a C-shape between parallel lines. The rule states that the sum of these two co-interior angles is 180 degrees.
Therefore,
⇒ 
⇒
[collect like terms of x]
⇒
[add 5 to both sides]
⇒
[divide both sides by 5]
Hope this helps! :D
Answer:

Step-by-step explanation:
Given:
Interval, [0, 4]
Required:
Average range of change over [0, 4]
SOLUTION:
Find f(0) and f(4) from the graph:
(when x = 0, y = 0)
(when x = 4, y = 3)
Average rate of change = 
Where,


Plug in the values into the formula for average rate of change.


Average rate of change 
Answer:
Yes. You can make a tree diagram with each subject at the top and the periods as the branches or with the periods at the top and each subject as a branch. Both ways provide the same number of outcomes, 18
Step-by-step explanation: