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Arlecino [84]
3 years ago
14

Find the measure of each interior angle of the regular polygon​

Mathematics
1 answer:
lukranit [14]3 years ago
5 0

Answer:

140 deg

Step-by-step explanation:

The sum of the measures of the interior angles of an n-gon is

(n - 2)180

In a 9-gon, there are 9 sides, so n = 9.

The sum of the measures of the interior angles of a 9-gon is

(n - 2)180 =

= (9 - 2)(180)

= 7(180)

= 1260

A regular polygon has congruent interior angles. A 9-gon has 9 congruent interior angles. The measure of each interior angle is the sum of the measures of the interior angles divided by the number of angles.

1260/9 = 140

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The quotient of a number and 7 is greater than or equal to 20
Rina8888 [55]

Answer:

a is greater than or equal to 140

Step-by-step explanation:

Multiply both sides by 7, which cancels out the 7 and turns 20 into 140

6 0
2 years ago
A sum of money was to be shared among three friends,Albert,Micheal,Moses in the ratio 3:5:6.if Micheal receives $45,find the sum
kirza4 [7]

Answer:

The sum of the money shared is $1372

Step-by-step explanation:

The given ratio is

Albert:Michael:Moses=3:5:6

The total ratio is 3+5+6=14

Let the sum of money shared be $x.

Then Albert's share = 3/14 x x = 3x/ 14

Michal's Share   = 5x/14

If Michael received $196 more than Albert, then the difference between their share is the $196.

7 0
3 years ago
Given sin theta = 1/3 and 0 theta pi/2 find tan 2 theta
Kazeer [188]

Answer:

\tan2\theta=\pm\dfrac{4\sqrt{2}}{7}

Step-by-step explanation:

Given: \sin\theta = \dfrac{1}{3}

0\leq \theta \leq \dfrac{\pi}{2}

Theta lie in first quadrant.

Multiply both sides by 2

0\leq 2\theta \leq \pi

2theta lie in I and II quadrant.

\tan2\theta is positive in I and negative in II quadrant.

\sin\theta=\dfrac{1}{3}

\cos\theta=\dfrac{2\sqrt{2}}{3}

\sin2\theta=2\sin\theta\cos\theta

\sin2\theta=2\cdot \dfrac{1}{3}\cdot \dfrac{2\sqrt{2}}{3}=\dfrac{4\sqrt{2}}{9}

\cos2\theta=\pm \sqrt{1-\sin^22\theta}=\pm\dfrac{7}{9}

\tan2\theta=\dfrac{\sin2\theta}{\cos2\theta}

\tan2\theta=\pm\dfrac{4\sqrt{2}}{7}

Hence, The value of \tan2\theta=\pm\dfrac{4\sqrt{2}}{7}

5 0
3 years ago
Read 2 more answers
Topic: Absolute Value Equations and Inequalities
jolli1 [7]

The values of  x are -22 and -2 and there are not extraneous solutions

<h3>How to solve the equation?</h3>

The equation is given as:

2|x + 7|= x - 8

Expand the absolute bracket

|2x + 14|= x - 8

Remove the absolute bracket

2x + 14 = x - 8 and 2x + 14 = -x + 8

Evaluate the like terms

x = -22 and 3x = -6

This gives

x = -22 and x = -2

Hence, the values of  x are -22 and -2 and there are not extraneous solutions

Read more about absolute value expressions at:

brainly.com/question/24368848

#SPJ1

4 0
2 years ago
The number 15, 56 rounded to the nearest thousand is 15,000. Which numbers could be the missing digit?
Virty [35]

The numbers 0, 1, 2, 3, 4 could all be the missing digit because they're all numbers that round down. hope this helped!

4 0
3 years ago
Read 2 more answers
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