Answer: Angles C and E are same side interior angles.
Step-by-step explanation:
When you see questions of this nature, test the individual inequalities and look out for their intersection.
For

Choose a point in the lower or upper half plane created by the line

The above line is the one which goes through the origin.
Now testing (1,0) yields,

That is,

This statement is true. So we shade the lower half of

For

We test for the origin because, it is not passing through the origin.

This yields

This statement is false so we shade the upper half.
The intersection is the region shaded in B. The top right graph
Slope intercept form: y=
−5
7
x+5
The graphing points would be (0,5)(7,0)
Answer:
C. 
Step-by-step explanation:
To find the value f b, we need to compare the exponents.
The given exponential equation is:

Recall and apply the following rule of exponents.

We apply this rule on both sides to get:

Simplify the exponents on the left.

Comparing exponents of the same variables on both sides,


Divide both sides by 6.


Answer:
8² = 4² + 5² - 2(4)(5) cos(P)
which is the third option
Explanation:
The general rule of cosine is:
a² = b² + c² - 2bc*cos(A)
In our triangle:
a is substituted by p = 8 cm
b is substituted by n = 4 cm
c is substituted by m = 5 cm
A is substituted by P which we want to find
Replace the variables in the general equation with the givens as follows:
p² = n² + m² - 2mn*cos(P)
8² = 4² + 5² - 2(4)(5) cos(P)
Hope this helps :)