Step-by-step answer:
This is a regular heptagon, means it has 7 <em>congruent</em> sides and 7 <em>congruent </em>vertex angles.
To work with polygons, there is a very important piece of information that you must know to solve the majority of related problems.
This is:
sum of exterior angles of polygons = 360 degrees.
If you don't remember the 360 degrees, think of the sum of exterior angles of an equilateral triangle, which is 3*(180-60)=3*120=360! It works!
For a regular heptagon, c = 360/7=51.43 degrees approx.
This means that each vertex angle measures
vertex angle = 180-c
So since 2d+the vertex angle = 360, we have
2d+(180-c)=360
solve for d:
2d=360-(180-c)=180+c
d=(180+c)/2=90+c/2=115.71 degrees. (approx.)
Answer:
It is a same size scalene triangle as the original triangle.
Step-by-step explanation:
:)
Answer:
-4
Step-by-step explanation:
your counting backward from 3
If two lines are perpendicular, then the product of their slopes is -1:

From the problem, we identify:

Then, using the equation (1), we calculate the slope of the green line:

Answer: Option D
The area of the composite figure with 3 semicircles connected to 3 sides of a square is (6π+16)
.
<h3 /><h3>What is a semicircle?</h3>
A semicircle is a plane shape that is a part of a circle divided into two equal parts through its diameter.
Analysis:
Since the semicircles are connected to 3 sides of a square 4cm, the diameter of the semicircle is 4cm.
Radius of semicircle = 4/2 = 2cm
Area of a semicircle = π
/2 = 
/2 = 2π
For three semicircles = 3 x 2π
= 6π
Area of square =
=
= 16
Area of composite figure = Area of 3 semicircles + area of square
Area of composite figure = (16 + 6π)
In conclusion, the area of the composite figure is (16 + 6π)
.
Learn more about area of plane shapes: brainly.com/question/20475473
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