Answer:
x = 13.9
Step-by-step explanation:
With respect to the angle shown, we have the hypotenuse (the side opposite the 90 degree angle) and we have the adjacent side (which is the side labeled x). thus we can use the ratio "cosine" to solve this.
<em>The ratio of cosine is defined as:</em>

Where adjacent and hypotenuse are the respective sides and
is the angle
<em>Thus, we can now write:</em>

The first answer choice is right, x = 13.9
None of the answer choices makes any sense. (You should have your teacher show you how to select the correct choice.)
_____
Answers that are closer to the plotted points are ...
... A = -0.9, B = -9/16, C = -0.4, D = -1/16
The attachment shows these points plotted. As you can see, even these values aren't quite right.
Answer: Coin A is $20, coin B is $10
Explanation:
A + B = $30
B = $10
$10 x 2 = $20
A = $20
$20 + $10 = $30
Answer:
(x-8) (x+7)
Step-by-step explanation:
x^2 -x-56
We want to factor this problem.
What two numbers multiply to negative 56 and add to -1
-8 *7 = -56
-8+7 = -1
We can use -8 and 7
(x-8) (x+7)
Check:
FOIL
first: x*x =x^2
outer: 7x
inner:-8x
last: -8*7 = -56
Add this together
x^2 +7x-8x -56 = x^2 -x-56
The answer is D, I hope this helps