Answer:
10). 5x + (7x + 6) = 90
11). x = 7
Step-by-step explanation:
From the picture attached,
Sum of given angles measures 90°
Measures of the angles are (5x)° and (7x + 6)°
Therefore, equation to determine the values of x will be,
5x + (7x + 6) = 90
By combining similar terms of the equation,
12x + 6 = 90
12x = 90 - 6
12x = 84
x = 
x = 7
Therefore, by solving the equation value of x will be 7.
Hello there!
The answer is C.
I will explain to you how I came to this answer.
•First of all, I counted the turning points. There are two, so that means this polynomial function has THREE roots. (# of turning points+1=number of roots.)
•Next, look to see how many times the function crosses the x-axis. This is the number of REAL solutions. In this case, there is one point at which the f(x) is crossing the x-axis so there is one real solution.
•Since there is one real solution there has to be 2 imaginary roots. (Total # of solutions-real solutions=imaginary solutions)
NOTE: the turning points are where the increasing intervals change to decreasing and the decreasing change to increasing. The first derivative at these points is 0.
I hope this helps!
Best wishes~
-HuronGirl
ANSWER

EXPLANATION
If the graph of y=cosx is transformed to y=a cos (x−c)+d by a vertical compression by a factor of 1/3 and a translation 2 units down,
then
a=1/3
and d=-2.
The 'c' is a phase shift since it is not given, it means it is zero.
Therefore the new equation is:
y=1/3cos(x-0)−2
This simplifies to:
y=1/3cosx−2
The correct option is C.
Answer:
the first one because supplementary means angles which add up to 180 and 180 degrees is a straight line and the third one because they both share the same vertex and side
Step-by-step explanation: