Answer:x=1,-9
Step-by-step explanation:
Given:
In a parallelogram ABCD, AB=(9x-14) inches and DC=(3x+4) inches.
To find:
The measure of DC.
Solution:
We know that opposite sides of a parallelogram are equal.
In the parallelogram ABCD, AB and DC are opposite sides. So,
Divide both sides by 6.
Now,
inches
inches
inches
inches
The measure of DC is 13 in.
Therefore, the correct option is C.
Answer: x = 38, y = 81, z = 75
Step-by-step explanation:
First, because it's a quadrilateral, we know that (z - 3) + 108 + (y - 9) + (3x - 6) = 360.
Then, we also know that (3x - 6) = 108, because in a parallelogram the two opposite angles are congruent. So, we know that x = 38.
Next, we also know that (z - 3) = (y - 9), because (again) the opposite angles are congruent. But since there are 2 variables and 1 equation, we cannot solve it yet.
But, we also know that (y - 9) + (3x - 6) = 180, because the same side angles are supplementary. We already know that (3x - 6) = 108, so (y - 9) = 180 - 108 = 72. y = 81.
Then, we can also figure out (z - 3) because it's the same as (y - 9), so (z - 3) = 72. z = 75.
So, x = 38 degrees, y = 81 degrees, and z = 75 degrees.
<em>P.S. If this is wrong, please tell me! I'll try my best to fix it. </em>
Answer:
-0.0526
Step-by-step explanation:
Let X be the random variable denoting the net gain(in dollars) for a single trial(one bet).
Assuming that each number in the wheel is equally likely, probability of the outcome being a victory is and probability of failure is . For a win, X takes value 35 and for a loss X takes value -1. So the model is,
The mean for one bet is