9.
<2 and <6 are right angles by the definition of perpendicular lines.
Since corresponding angles are congruent, m || n.
11.
In a triangle, the measures of the three angles add to 180 degrees.
If one angle is a right angle, then that angle measures 90 degrees. The other two angle measures plus 90 degrees add to 180 degrees, so the other two angle measures add to 90 degrees. In a right triangle there is a right angle and two other angles that are complementary.
Now look at your problem.
One angle is a right angle.
The other two angles are complementary, so their measures add to 90 deg.
8x + 2 + 9x + 3 = 90
17x + 5 = 90
17x = 85
x = 5
Answer:
Presumably the first graph solely based on its shape.
The answer is either x>-7 or x<-7 I think it is the first one but I haven’t done these in a while so I forget when to switch the signs
Step-by-step explanation: The cosecant function is graphed in the given figure. we are to find the period of the function.
The period of a function is the distance travelled by the curve of the function in one complete revolution.
We can see that in the given figure, the distance between two consecutive points is given by
Therefore, the period of the cosecant function is
Thus, the correct option is (B) \pi.
The graph is attached and the answer to the function g(x) = (1/3)x²
Option A is the right answer.
<h3>What is a Function ?</h3>
A function is a mathematical statement that relates a dependent variable and an independent variable.
It is given that
f(x) = x²
It has been asked to determine the equation of g(x)
It can be seen from the graph the the vertex is same just the graph is scaled.
The point (3,3) is of g(x) , when the value of y at at x =3 is 9
Therefore the scale factor is 1/3
And we can do trial and error on the basis of the options given ,
The graph is attached and the answer to the function g(x) = (1/3)x²
Option A is the right answer.
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