Answer:
Step-by-step explanation:

Answer:
x = 133
Step-by-step explanation:
First, determine what total sum would be needed for the mean to be 114. Do this by multiplying 114 by 6 (bc total number of values in data set includes the variable <em>x</em>).
114 x 6 = 684
Next, add the five known values to get a sum of 551.
Now, just: 684 - 551 = 133
For the mean to be 114, x must equal 133.
Answer: there were 4 people at a party. There was 1 cookie left on the table and all of them wanted it. They divided it between the four of them so they could all have a peice.
Step-by-step explanation:
Ordered pairs that work for this direct variation are (4, 3), (8, 6) and (12, 9).
In order to find these, we must first find the value of the direct variation coefficient. We can do that using the base equation y = kx and then by plugging in to find k.
y = kx
12 = k(16)
3/4 = k
Now that we have k, we can model the equation as y = 3/4x. We can also find any number of ordered pairs by using the x value and finding the y value. All of the above answers work.
We know that these two angles are equal to each other (There is the "congruent" sign) so we can set them equal to each other and solve for x
3x - 17 = 25 - 3x
(3x + 3x) - 17 = 25 + (-3x + 3x)
6x + (- 17 + 17) = 25 + 17
6x/6 = 42/6
x = 7
Hope this helped!