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
-BARSIC- [3]
3 years ago
9

The measure of an exterior angle of a regular polygon is 2x and the measure of an interior angle is 4x Find the measure of one i

nterior and exterior angle
Mathematics
1 answer:
kolbaska11 [484]3 years ago
6 0

Answer:

Part a) The measure of an exterior angle is 60°

Part b) The measure of an interior angle is 120°

Step-by-step explanation:

step 1

Find the value of x

we know that

A regular polygon has equal sides and equal interior angles

The sum of an interior angle plus an exterior angle must be equal to 180 degrees (supplementary angles)

so

2x+4x=180

solve for x

6x=180

x=30

step 2

Find the measure of an exterior angle

2x

substitute the value of x

2x=2(30)=60\°

step 3

Find the measure of an interior angle

4x

substitute the value of x

4x=4(30)=120\°

In this problem the regular polygon is a hexagon

You might be interested in
Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that
Helga [31]

Answer:

\sum^\infty_{n=0} -5 (\frac{x+2}{2})^n

Step-by-step explanation:

Rn(x) →0

f(x) = 10/x

a = -2

Taylor series for the function <em>f </em>at the number a is:

f(x) =  \sum^\infty_{n=0} \frac{f^{(n)}(a)}{n!} (x - a)^n

f(x) = f(a) + \frac{f'(a)}{1!}(x-a)+\frac{f"(a)}{2!} (x-a)^2 + ... ............ equation (1)

Now we will find the function <em>f </em> and all derivatives of the function <em>f</em> at a = -2

f(x) = 10/x            f(-2) = 10/-2

f'(x) = -10/x²         f'(-2) = -10/(-2)²

f"(x) = -10.2/x³      f"(-2) = -10.2/(-2)³

f"'(x) = -10.2.3/x⁴     f'"(-2) = -10.2.3/(-2)⁴

f""(x) = -10.2.3.4/x⁵    f""(-2) = -10.2.3.4/(-2)⁵

∴ The Taylor series for the function <em>f</em> at a = -4 means that we substitute the value of each function into equation (1)

So, we get \sum^\infty_{n=0} - \frac{10(x+2)^n}{2^{n+1}} Or \sum^\infty_{n=0} -5 (\frac{x+2}{2})^n

4 0
3 years ago
Please help I am terrible at algebra
Marina CMI [18]

Answer:

y = (x-0)^2 + (-5)  ⇒ y = x^2 - 5

Step-by-step explanation:

The general vertex form of the parabola  y = a(x - h)² + k

Where (h,k) is the coordinates of the vertex.

As shown at the graph the vertex of the parabola is the point (0, -5)

So,

y = a(x-0) + (-5)

y = ax^2 - 5

To find substitute with another point from the graph like (1,-4)

So, at x = 1 ⇒ y = -4

-4 = a * 1^2 - 5

a = -4 + 5 = 1

<u>So, the equation of the given parabola is ⇒ y = x^2 - 5</u>

6 0
3 years ago
What is the next number of the patter. 3, -6, 12, 4, 20, ?
klemol [59]
The answer would be -7
5 0
3 years ago
A discrete random variable is a variable that is randomly chosen and can take
Colt1911 [192]

Answer:

false

Step-by-step explanation:

4 0
2 years ago
In June, Tara gathered data about amusement park attendance on days with different temperatures. Tara used the equation y=−3.5x+
sergij07 [2.7K]

Answer:

25

Step-by-step explanation:

Given the model:

y=−3.5x+400

Number of children in amusement park = y

Temperature = x

On a certain day:

Temperature = 90°F

Number of children in park = 60

Using the model :

The predicted number of children in park when temperature is 90°F would be :

y = - 3.5(90) + 400

y = - 315 + 400

y = 85

Model prediction = 85 children

Actual figure = 60

Residual :

|Actual - predicted | = |60 - 85| = 25 children

6 0
3 years ago
Other questions:
  • Mr. Thompson took his 5 children
    11·2 answers
  • Help and explain if you can please ​
    11·1 answer
  • Robert and Elaine ran around the high school track during gym class. robert ran 1/2 of the way around the track in 5/6 minute. L
    8·1 answer
  • Help me please and explain your work
    8·1 answer
  • How to find the slope of a line
    10·1 answer
  • What is the x-intercept of the graph whose equation is y+1=x3 ?
    5·1 answer
  • Math project: triangle trace / Proyecto de matematicas: trazo de triangulos
    9·1 answer
  • PLEASE help with these 3 pretty easy problems and explain how you got them!!! I will mark brainliest if right!!!!!!!
    12·1 answer
  • SOMEONE PLS HELP!!!! ITS TIMED AND DUE TOMORROW!
    14·2 answers
  • Your math teacher tells you that the next test is worth 100 points and contains 38 problems muitiple choices are worth 2 points
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!