For this case we have that by definition, a function is of the form:
So, we have the following system of equations:
Equating the equations we have:
Adding 2x to both sides of the equation:
Subtracting 2 from both sides of the equation:
Dividing between -4 on both sides of the equation:
Thus, the value of the variable "x" is -0.5.
Answer:
-0.5
Answer:
cos(z) = .3846153846 and angle z = 67.38°
Step-by-step explanation:
Side UV is corresponding to side YX. Side VW is corresponding to side YZ. Side UW is corresponding to side XZ.
Starting with the first corresponding pair, we are told that side UV is 36, and that side YX is 3/5 of that. So side YX is
We are next told that side VW is 39, so side YZ is
In order to find the cos of angle z, we need the adjacent side, which is side XZ. Side XZ is 3/5 of side UW. Right now we don't know the length of side UW, so we find it using Pythagorean's Theorem:
and
so
UW = 15
Now we can say that side XZ is
The cos of an angle is the side adjacent to the angle (9) over the hypotenuse of the triangle (23.4) so our ratio is:
which divides to
cos(z) = .3846153846
If you need the value of the angle, use the inverse cosine function on your calculator in degree mode to find that
angle z = 67.38°
Answer
33,33 and 22
Step-by-step explanation:
I don’t understand this but:
The mean is the average of all the numbers combined
the median is the number centered directly in the middle with the same number of numbers on both sides of the number in the middle
The mode is how many times a number appears
You are given 2/3 angles to solve for x;
24+56 = 90
90 + x = 180
x = 90 degrees