1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andrews [41]
3 years ago
5

If the polygon shown below is a regular nonagon what is the value of x?

Mathematics
1 answer:
jeyben [28]3 years ago
3 0
The sum of the measures of the angles of a polygon is given by (<em>n</em> - 2)(180), where <em>n</em> is the number of sides.  In this case we would have (9-2)(180)=7(180)=1260.  This is the <u>sum</u> of the angles.  Since it is a regular nonagon, that means that all sides are congruent and all angles are congruent.  Therefore we find the measure of each individual angle by dividing the sum, 1260, by the number of sides, 9.  1260/9=140.  <em>x</em> forms a linear pair with one of the interior angles; that means that the interior angle, 140, added to <em>x</em> would give us 180.  Therefore we find <em>x</em> by subtracting 180-140. <em>x</em> = 40.
You might be interested in
Suppose f(x)= 4x/3+5 and g(x) = x/3 +1. solve for x when f(x)=g(x)
yuradex [85]
\bf \begin{cases}&#10;f(x)=\cfrac{4x}{3}+5\\\\&#10;g(x)=\cfrac{x}{3}+1&#10;\end{cases}\qquad f(x)=g(x)\implies \cfrac{4x}{3}+5=\cfrac{x}{3}+1

solve for "x" then
4 0
3 years ago
Let f(x)=x2−3x−4 . What is the average rate of change from x = 7 to x = 10? Question 6 options: 24 14 66 42
Fed [463]
Just find the slope between the points

basically find (f(10)-f(7))/(10-7)

f(7)=7^2-3(7)-4=49-21-4=24
f(10)=10^2-3(10)-4=100-30-4=66

slope=(66-24)/(10-7)=42/3=14
average rate of change is 14
8 0
3 years ago
The function f(x) = x2 + 10x – 3 written in vertex form is f(x) = (x + 5)2 – 28. What are the coordinates of the vertex?
MrRa [10]
The vertex of the quadratic equation is (-5, - 28). In vertex form, y = a(x - h)2<span> + </span><span>k, (h, k) is the vertex of the equation.</span>
5 0
3 years ago
Read 2 more answers
Pls help gycsdhgvcjhscd
Alona [7]

Answer:54?

Step-by-step explanation:

5 0
3 years ago
Dr. Clarence invested $5000 in an account that draws 3.2% interest, compounded annually. What is the total value of the account
castortr0y [4]
It's simple, you just have to times everything. 5000 x 3.2% x 5 years. After calculating these, 3.2 is as 0.032 so there would be three decimal places. So then it will e 5000 x 0.032 x 5
5 0
3 years ago
Other questions:
  • The ratio of pencils to erasers is 4:1 if there are 20 pencils how many erasers are there?
    12·1 answer
  • How do you solve this
    11·1 answer
  • What is the area of a circle with a diameter of 36 millimeters?
    8·2 answers
  • What is 1 divided by -1/2
    12·1 answer
  • PLEASE HELP!!!!! Florian ran 1.2 miles and walked 4.8 laps around the path at the park for a total distance of 3.6 miles. Which
    7·2 answers
  • In a coordinate plane, triangle ABC has vertices A(- 4, 5), B(- 4, - 4) , and C(3,-4), . Find the perimeter of triangle ABC to t
    9·1 answer
  • Please help with these I am stuck
    13·1 answer
  • Can somebody help me with the question i asked before this.....please
    14·1 answer
  • I never was taught how to solve this
    15·1 answer
  • F(x)=4x^(3)+6x^(2 )-3x-4 <br> g(x)=4x-3<br><br> Find (f - g) (x)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!