Supplementary angles add up to 180 degrees-
Let x = "the angle"
supplement angle = 2x + 12 // 12 more than twice the measurement of "the angle"
Supplement angle + "the angle" = 180 degrees
(2x + 12) + x = 180 degrees // 2x + 12 is the supplement angle
3x + 12 = 180 // Simplify
3x = 168 // Subtract 12 from both sides
x = 56 degrees // Divide both sides by 3
The measure of the angle is 56° and its supplement is 124°
The answer is Pyrrophyta <span />
Answer:

Step-by-step explanation:
The standard equation of a circle is given by:

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.
We are given that the center is (4, -7) and that the radius is √(43).
So, <em>h</em> = 4, <em>k</em> = -7, and <em>r</em> = √(43). Substitute:

Simplify. Hence, our equation is:

Answer:
-1
Step-by-step explanation:
The line goes down 1 grid square for each grid square to the right. Each grid square represents 1 unit in both the x- and y-directions. That means the slope is ...
m = rise/run = -1/1 = -1
The slope of the line is -1.
Answer:
<em>The difference quotient of f is 8. </em><em>Option C</em>
Explanation:
<u>Difference Quotient</u>
Given a function f(x), the difference quotient is defined as

The function provided in the question is

Find f(x+h) by substituting x by x+h:


Now compute:

Operating:

Simplifying:

d=8
A. Incorrect.
This choice is different from the answer.
B. Incorrect.
This choice is different from the answer.
C. Is correct
The difference quotient is 8 as explained above.
D. Incorrect.
This choice is different from the answer.