The interior angles in a regular polygon are 140 degrees. How many sides has the polygon?

Mathematics

2 answers:

Wittaler [7]3 years ago

8 0

$180^o-140^o=40^o\\\\360^o:40^o=9\\\\Answer:This\ a\ regular\ polygon\ has\ 9\ sides.$

Rasek [7]3 years ago

6 0

Yes, it certainly could ! When you first noticed that formula in a book, or when it was given to you in class, did you also notice or learn what it means ?

It means
"The sum of all the interior angles in a polygon" = (number of sides - 2) x 180.

Triangle ........ 3 sides ... (3 - 2) = 1 x 180 = 180° degrees ... 60° each if regular
Quadrilateral . 4 sides ... (4 - 2) = 2 x 180 = 360° degrees ... 90° each if regular
Pentagon ...... 5 sides ... (5 - 2) = 3 x 180 = 540° degrees ... 108° each if regular
Hexagon ....... 6 sides ... (6 - 2) = 4 x 180 = 720° degrees ... 120° each if regular
Sevenagon ... 7 sides ... (7 - 2) = 5 x 180 = 900° degrees ... 128 and 4/7 each if regular
Octagon ........ 8 sides ... (8 - 2) = 6 x 180 = 1080° degrees ... 135° each if regular
Nonagon ....... 9 sides ... (9 - 2) = 7 x 180 = 1260° degrees ... 140° each if regular

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1. 4x - y = 6 2. 3x + 2y = 8 3. y - 1/2x = 3/4

PIT_PIT [208]

1➡Problem ▶4x - y = 6
Steps▶4(x)-y- 6=?
y-intercept▶6÷-1 = -6, right ?
x-intercept ▶ 6÷4 which is also equal. to▶ 3÷2 , they both equal 1.5 , right?
The answer⬇

Your slope▶4
y-intercept ▶ -6
x-intercept ▶1.5

2➡Problem 3x + 2y = 8
Steps▶3(x)+2(y)-8=?
y-intercept▶ 8 ÷ 2 = 4, right?
x-intercept 8 ÷ 3 = 2.67 ,right?
Slope▶-3.0÷2.0 = -1.50

Your answer⬇
y-intercept ▶4
x-intercept ▶2.67
Slope ▶1.50

3 ➡Problem y - 1/2x = 3/4
Steps ▶ 3÷4 = .75
1÷2 = .5
y-intercept ▶ 3÷4 = .75,right?
x-intercept ▶3 ÷ (-2) = -1.50; 1.5 , right ?
Slope ▶ 1 ÷ 2 = .5, right ?

your answer⬇
y-intercept : .75
x-intercept: 1.5
Slope .5

6 0

3 years ago

the figure is made up of 2 rectangles and 2 right triangles. what is the area of the figure? A 132 units² B 156 units² C 168 uni

Karolina [17]

the answer is A, you add them

4 0

3 years ago

A battery has a lifetime that is approximately normally distributed with a mean of 600 hours and a standard deviation of 50 hour

miss Akunina [59]

Answer:

A. Your battery is likely defective since such poor performance is extremely unlikely.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If X is more than two standard deviations from the mean, it is considered an unlikely outcome.

In this question, we have that:

$\mu = 600, \sigma = 50$