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
Answer:
As x decreases, h increases (but never touches)
As x increases, h decreases (but never touches)
Step-by-step explanation:
If you graphed the exponential, you would be able to see that it is stuck in the 3rd quadrant.
Domain: (negative infinity, 1)
Range: (negative infinity, 0)
The distributive property is a simplification rule that does not change the value of an expression. Nothing need be done to the other side of the equation.
q = -4(3+x)
q = -4*3 -4*x . . . . . the -4 is distributed. The right side has not changed value.
Answer:
3rd option
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (- 1, - 25 ) , then
f(x) = (x - (- 1) )² - 25 , that is
= (x + 1)² - 25 ← expand using FOIL
= x² + 2x + 1 - 25
= x² + 2x - 24