All categories

2 years ago

Three angles of an octagon are equal and the sum of the remaining angles is 705⁰. find the size of one of the equal angles.

Mathematics

1 answer:

s2008m [1.1K]2 years ago

6 0

Answer:

125°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 8 (octagon), thus

sum = 180° × 6 = 1080°

let x represent one of the equal angles, then

3x + 705 = 1080 ( subtract 705 from both sides )

3x = 375 ( divide both sides by 3 )

x = 125

Thus the size of one equal angle = 125°

You might be interested in

...................................

Sav [38]

Answer:

D) 28

Step-by-step explanation:

Using my improbable math skills, I calculated that the answer is probably D

Correct me if I'm wrong~

4 0

2 years ago

How do i graph this

sergey [27]

Choose one of two ways to use the axis lines or choose your own numbers.

3 0

3 years ago

Assume that 11 people, including the husband and wife pair, apply for 5 sales positions. People are hired at random. (1) what is

Andrew [12]

The probability that both the husband and wife are hired is $\frac{2}{11}$

Explanation

Total number of people = 11 and total number of sales positions = 5

So, the total possible number of ways for selecting 5 people from 11 people will be: $^1^1C_{5}$

Now if both the husband and wife are hired, then it means the remaining (5-2)= 3 positions are filled from the remaining (11 -2) = 9 people.

So, the possible number of ways for selecting 3 people from 9 people will be: $^9C_{3}$

Thus, the probability $= \frac{^9C_{3}}{^1^1C_{5}}=\frac{84}{462}=\frac{2}{11}$

4 0

3 years ago

We use the t distribution for the statistical inference of the population mean when the underlying population standard deviation

Digiron [165]

Answer:

Step-by-step explanation:

Since population std deviation is not known, we use t critical value for testing of hypothesis.

a) 90% conf level when n =28

df = 27, t critical = 1.706

b) 95% 28

df =27 and t critical = 2.052

c) 90% and 15

df =14 and t critical = 1.761

d) 95% and n =15

df =14: t critical = 2.145

6 0

2 years ago

How do you solve 2h + 7 > 21

Mrrafil [7]

$2h + 7 > 21\\
2h>14\\
h>7$

8 0

2 years ago

Read 2 more answers

Three angles of an octagon are equal and the sum of the remaining angles is 705⁰. find the size of one of the equal angles.​

Three angles of an octagon are equal and the sum of the remaining angles is 705⁰. find the size of one of the equal angles.