Answer:
Step-by-step explanation:
Sum of interior angle of any polygon = 180* (n- 2 )
Here, n= number of sides
Sum of interior angles of regular octagon = 180 * ( 8-2) = 180 * 6 = 1080°
In regular octagon, all the angles are congruent,
So, measure of an interior angle of regular octagon = 1080/8 = 135°
Sum of interior angles of regular hexagon = 180 * ( 6-2) = 180*4 = 720°
In regular hexagon, all the angles are congruent,
So, measure of an interior angle of regular hexagon = 720/6 = 120°
The measure of an interior angle of a regular octagon is greater than the measure of an interior angle of a regular hexagon by 15°
This problem can be completed in 2 ways. Both are acceptable.
Option 1:This is an isosceles trapezoid that can be divided into a rectangle and two congruent triangles.
The area of the rectangle is the base times the height.

The area of one of the triangles is half the base times the height.

The other triangle must have that area too.

The area is 56 square centimeters.
Option 2:We can use the area formula for the trapezoid.

Where

is the length of the shorter base
and

is the length of the longer base
and

is the height.
The length of the shorter base is 9.
The length of the longer base is 9+5+5, or 19.
The height is 4.


Same answer. The area is 56 square centimeters.
Both options are two acceptable ways the problem can be tackled.
Answer:
-3/2
Step-by-step explanation:
you can use the rise over run method to find the slope of this line
-48 is the answer to the question
mean = Summation of Data/Number of Data Added
mean = [(-54)+(-32)+(-70)+(-25)+(-65)+(-42)] / 6
mean = -288 / 6
mean = -48
Answer:-1/2
Step-by-step explanation:
16^x=1/4
(4^2)^x=4^(-1)
4^2x=4^(-1)
Base cancelled each other since they are the same
2x=-1
Divide both sides by 2
2x/2=-1/2
x=-1/2