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
sesenic [268]
4 years ago
11

If the sum of the measures of interior angles of a regular convex polygon is 1620° how many sides does a polygon have find the m

easure of one interior angle and one exterior angle
Mathematics
2 answers:
Keith_Richards [23]4 years ago
7 0

Answer:

  • the polygon has 11 sides
  • one interior angle measures 147 3/11 degrees
  • one exterior angle measures 32 8/11 degrees

Step-by-step explanation:

The relation between the number of sides (n) and the total degree measure of interior angles is ...

  angle total = 180° × (n -2)

We can find n by filling in the given total and solving:

  1620 = 180(n -2)

  1620/180 = 9 = n -2

  9 + 2 = 11 = n

The number of sides is 11.

The measure of one interior angle is 1620°/11 = 147 3/11 degrees.

The measure of one exterior angle is 360°/11 = 32 8/11 degrees.

Mila [183]4 years ago
3 0

Answer:

Step-by-step explanation:

(n-2)180=1620

n-2=1620/180=9

n=9+2=11

You might be interested in
Help I do not understand this
marshall27 [118]

Answer:

sin(30)° = \frac{10}{x}

Step-by-step explanation:

By applying sine rule in the given triangle,

sin(30)° = \frac{\text{Opposite side}}{\text{Hypotenuse}}

sin(30)° = \frac{10}{x}

\frac{1}{2}= \frac{10}{x}

x = 2 × 10

x = 20

Therefore, answer will be sin(30)° = \frac{10}{x}.

3 0
3 years ago
Roger has 7 dimes and 17 pennies. The total amount of money Roger has, in dollars, can be found by evaluating 7/10 + 17/100. Whi
stepan [7]
If you want to add fractions, you need to first make them like fractions, this means both fractions need to have the same denominator without changing its proportion:

7/10 = 70/100
17/100 = 17/100

Now it is the same and you can add them now because they are like fractions.

70/100 + 17/100 = 87/100

Your answer is B.
5 0
4 years ago
For the data in the table does y vary directly with? If it does, write an equation for the direct variation
horrorfan [7]

Answer:f

Step-by-step explanation:

7 0
3 years ago
Is x+2 xt4 or x-2 xt4
antoniya [11.8K]

Answer:

x-2xt4

Step-by-step explanation:

6 0
3 years ago
In recent years more people have been working past the age of 65. In 2005, 27% of people aged 65–69 worked. A recent report from
Vinil7 [7]

Answer:

a) point estimate is 30%

b) null and alternative hypothesis would be

H_{0}: p=27%

H_{a}: p>27%

c) We reject the null hypothesis, percentage working people aged 65-69 had increased

Step-by-step explanation:

<em>a. </em>

Point estimate would be the proportion of the working people aged 65–69 to the sample size and equals \frac{180}{600}=0.3 ie 30%

<em>b.</em>

Let p be the proportion of people aged 65–69 who is working. OECD claims that percentage working had increased. Then null and alternative hypothesis would be

H_{0}: p=27%

H_{a}: p>27%

<em>c.</em>

z-score of the sample proportion assuming null hypothesis is:

\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } } where

  • p(s) is the sample proportion of working people aged 65–69 (0.3)
  • p is the proportion assumed under null hypothesis. (0.27)
  • N is the sample size (600)

then z=\frac{0.3-0.27}{\sqrt{\frac{0.27*0.73}{600} } } = 1.655

Since one tailed p value of 1.655 = 0.048 < 0.05, sample proportion is significantly different than the proportion assumed in null hypothesis. Therefore we reject the null hypothesis.

3 0
3 years ago
Read 2 more answers
Other questions:
  • In a certain company, 30 percent of the men and 20 percent of the women attend night school. if 40 percent of all employees are
    14·1 answer
  • In ΔKLM, the measure of ∠M=90°, KL = 7 feet, and LM = 4 feet. Find the measure of ∠K to the nearest tenth of a degree.
    9·1 answer
  • What is the simplest form of 2 square root of 2 over square root of 3 minus square root of 2
    10·1 answer
  • Suppose C = 44°, a = 6 and b = 9. Find A if a is opposite A.
    13·1 answer
  • Find the value of x 8 12 x
    8·1 answer
  • What is the value of $\sqrt{36 \times \sqrt{16}}$?
    5·1 answer
  • Jeremy’s pay is $8.25 per hour. Jeremy worked 78 hours in a month, and the pay statement showed a total of $128.70 in payroll ta
    6·1 answer
  • Can anyone help with this haha
    9·1 answer
  • A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed
    7·1 answer
  • 3x^+5x+2=0
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!