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:
- <u>Third choice: {3, 4, 6, 7, 9}</u>
Explanation:
<em>M ∪ N</em> means the union of the segments M and N. That is, the complete list of objects that are either in the set M or N.
The circle on the left of diagram shows that the elements inside the set M are 3, 4, 7 and 9.
The circle on the right of the diagram shows that the elements inside the set N are 4, 6 and 7.
The complete list of the numbers in either M or N is 3, 4, 6, 7, and 9 (you must not repeat the elements that belong to both sets but indicate them just once.
So, the set that represents M ∪ N is the third option {3, 4, 6, 7, 9}.
1,166 days I know this because I just did the math rig now
Answer:
<em>when </em><em>x </em><em>=</em><em> </em><em>5</em><em> </em>
<em>then </em><em> </em><em>the </em><em>value </em><em>of</em><em>. </em><em>(</em><em>3</em><em>x</em><em>+</em><em>2</em><em>)</em>
<em>(</em><em>3</em><em>*</em><em>5</em><em>)</em><em> </em><em>+</em><em> </em><em>2</em>
<em> </em><em> </em>
<em>1</em><em>5</em><em> </em><em>+</em><em> </em><em>2</em>
<em>=</em><em>. </em><em>1</em><em>7</em>
<em>her </em><em>mistake </em><em>was </em><em>that </em><em>she </em><em>doesn't</em><em> </em><em>multiplied</em><em> </em><em>5</em><em> </em><em>and </em><em>3</em><em> </em><em> </em>
Answer:
x=0
Step-by-step explanation:
