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Ad libitum [116K]
3 years ago
9

An interior angle of a regular polygon has a measure of 135° how many sides does it have

Mathematics
1 answer:
butalik [34]3 years ago
6 0

8 sides

the exterior angle = 180° - 135° = 45° ( exterior/ interior are supplementary )

the sum of the exterior angles of a polygon = 360°

number of sides = \frac{360}{45} = 8


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Eddi Din [679]

The answer for 6x+2=14 is x=2.

8 0
3 years ago
We want to find the zeros of this polynomial:<br> p(x)= 3x^3 – 3x^2– 18x
bulgar [2K]

Answer:

x=0   x=3   x=-2

Step-by-step explanation:

p(x)= 3x^3 – 3x^2– 18x

Factor out the greatest common factor, 3x

p(x)= 3x (x^2 – x– 6)

Factor inside the parentheses

What 2 numbers multiplies to -6 and adds to -1

-3*2 = -6

-3+2 = -1

p(x)= 3x (x-3)(x+2)

Setting the function equal to zero to find the zeros

0 = 3x (x-3)(x+2)

Using the zero product property

3x = 0  x-3 =0   x+2 =0

x=0   x=3   x=-2

3 0
3 years ago
Read 2 more answers
From a group of 3 men and 4 women, a delegation of 2 is selected. What is the expected number of men in the delegation?
Ostrovityanka [42]

Answer:

The expected number of men in the delegation is 0.86.

Step-by-step explanation:

Number of men = 3

Number of women = 4

A delegation of 2 is selected.

Let X be the number of men selected. So, the possible values of X are 0,1,2.

P(X=0)=\dfrac{^3C_0\times ^4C_2}{^7C_2}=\dfrac{2}{7}

P(X=1)=\dfrac{^3C_1\times ^4C_1}{^7C_2}=\dfrac{4}{7}

P(X=2)=\dfrac{^3C_2\times ^4C_0}{^7C_2}=\dfrac{1}{7}

The expected number of men in the delegation is

E(x)=0\times P(X=0)+1\times P(X=1)+2\times P(X=2)

E(x)=0\times \dfrac{2}{7}+1\times \dfrac{4}{7}+2\times \dfrac{1}{7}

E(x)=\dfrac{6}{7}

E(x)\approx 0.86

Therefore, the expected number of men in the delegation is 0.86.

4 0
2 years ago
A serviceman with two children has monthly salary of Rs 22800. He has got tax free
Sonbull [250]

Answer:

answer below :) hope this helps!

Step-by-step explanation:

Amount invested in Civil investment fund= 10% of 96000 = \frac{10}{100} x 96000 = 10 x 960= 9600

remaing taxable amount = =96000 -(75000+9600)

                             = 96000 - 84600

                             = Rs. 11400

Tax = 15% of 11400

= \frac{15}{100} x 11400 = 15 x 114 = 1710

again, i hope this helps :)

4 0
3 years ago
The solution set to 6 + 2n &gt; 12 is n &gt; 3. Which are correct representations of this solution? Select two options.
s344n2d4d5 [400]

The correct representations of this solution are

  • (d) A number line going from negative 5 to positive 5. An open circle appears at positive 3. The number line is shaded from positive 3 to negative 5.
  • (e) (3, ∞)

<h3>How to determine the solution set?</h3>

The inequality is given as:

6 + 2n > 12

The solution is given as:

n > 3

When the above inequality is represented as an interval, we have:

(3, ∞)

Also, the inequality symbol > is represented using an open circle.

This means that the number line would use an open circle and the arrow would point right

Hence, the correct representations of this solution are (d) and (e)

Read more about inequalities at:

brainly.com/question/25275758

#SPJ1

8 0
2 years ago
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