Answer:
7 of the angles measure 144 degrees each and one angle measures 72 degrees
Step-by-step explanation:
Let
x -----> represent the measures of the seven same-size angles,
x/2 ----> represent the measure of the one that is "two times smaller."
we know that
The sum of internal angles of a polygon can be calculated as:

where
n is the number of sides of the polygon
In this case
n=8 (octagon)
substitute

so
The linear equation that represent this problem is

solve for x

so

therefore
7 of the angles measure 144 degrees each and one angle measures 72 degrees
The least common factor of any group of whole numbers is ' 1 '.
The greatest common factor of those three numbers is 4 .
Answer:
f(x) = 4x² - 40x + 84
Step-by-step explanation:
4(x - 7)(x - 3) = 0
4(x² - 3x - 7x + 21) = 0
4(x² - 10x + 21) = 0
4x² - 40x + 84 = 0
I'd be able to figure this out if I could see the graph.
We need to convert this equation to slope-intercept form first.
We can do that by solving for y.
x - 5y = 15
<em><u>Add 5y to both sides.</u></em>
x = 5y + 15
<em><u>Subtract 15 from both sides.</u></em>
x - 15 = 5y
<em><u>Divide both sides by 5.</u></em>
y = 1/5x - 3
We now know the slope is 1/5.
The slope of the line perpendicular to the line with a slope of 1/5 is -5.
The slope of a perpendicular line is the negative reciprocal of the original slope.
Using a graphing calculator, we know the y-intercept of the line that is perpendicular to the original line must have a y-intercept of -6 to run through the points (-2, 5).
The equation of the new line is y = -5x - 6.