Find the value of x if the figure is a regular polygon.

Find The Value Of X If The Figure Is A Regular Polygon.

Answers

Answer 1

taking a peek at this regular polygon hmm is has 6 sides, so is a hexagon, ok.

[tex]\textit{sum of all interior angles in regular polygon}\\\\ n\theta =180(n-2)~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=6 \end{cases}\implies 6\theta =180(6-2) \\\\\\ 6\theta =180(4)\implies 6\theta =720\implies \theta =\cfrac{720}{6}\implies \boxed{x=\theta =120}[/tex]


Related Questions

A ski resort charges $55 for renting a snowboardor skis
and $1 per hour for a lift ticket. If Julian spent a total of
$121, how many hours was he there?

Answers

Answer: 66 hours

Step-by-step explanation:

$121 - 55$(one time payment) = 66 hours

1 * 66 = 66

Answer:

66 Hours

Step-by-step explanation:

Let X represent the number of hours

Step 1 Equation:
55 + 1x = 121

Step 2 Inverse Operation:
121 - 55 = X
121 - 55 = 66

Step 3 Answer:
X = 66

Step 4 Check:
55 + 1(66) = 121

The volume of a right circular cylinder is 1100 cm3 and the radius of its base is 5 cm. Calculate its curved surface area.

(A) 410 cm2 (B) 125 cm2 (C) 440 cm2​

Answers

Answer:

c

Step-by-step explanation:

t r r rt t t 4 4. 54. 54. 54 4. rr. rt t. t

Answer: A

Step-by-step explanation: πr2 h =  1100 cm³

Here r = 5

(22/7) ⋅ (5)2 ⋅ h  =  1100

h  = 2/7

Curved surface area of cylinder  =  2 πr h

=  2 ⋅ (22/7) ⋅ 5 ⋅ (2/7)

=  440 cm²

So, the curved surface area of cylinder is  440 cm²

Landon has 76 dinosaurs, but he gives his sister 13 of them to play with. Then he put his dinosaurs into 9 groups. How many dinosaurs are in each group?

Answers

Answer:

7 groups

Step-by-step explanation:

76-13 is 63

63 divided by 9 is 7

Answer:

7

Step-by-step explanation:

Subtract 13 dinosaurs from the 76 original dinosaurs

76-13 = 63

Now divide them into 9 groups

63/9 = 7

There are 7 dinosaurs in each group

HELP AND HURRY UP pleas

Answers

Answer:

y=0

Step-by-step explanation:

a horizontal line is equal to y being 0.

(x + 2)(x/4 - 7) multiple the following algebraic expressions

Answers

answer:

[tex]\frac{x^2}{4}-\frac{13x}{2}-14[/tex]

steps:

[tex]\left(x\:+\:2\right)\left(\frac{x}{4}\:-\:7\right)[/tex]

[tex](x)(\frac{x}{4})-7x +\frac{2x}{4} -14[/tex]

[tex]\frac{x^2}{4} -7x+\frac{2x}{4} -14[/tex]

[tex]\frac{x^2 -28x + 2x -56}{4}[/tex]

[tex]\frac{x^2 -26x -56}{4}[/tex]

[tex]\frac{x^2}{4}-\frac{13x}{2}-14[/tex]

[tex](x + 2) ( \frac{x}{4} - 7)[/tex]

[tex](x) ( \frac{x}{4} ) − 7x + \frac{2x}{4} - 14[/tex]

[tex] \frac{ {x}^{2} }{4} - 7x + \frac{2x}{4} - 14[/tex]

[tex] \frac{ {x}^{2}-28x+2x-56 }{4} [/tex]

[tex]\frac{{x}^{2} - {26}^{2} - 56}{4} [/tex]

lol i need an answer and pls explan it to me

Answers

Answer: Choice (1)

The slope of AB is different from the slope of BC

==================================================

Reason:

Points A,B,C are all on the same line. We consider them collinear points. This means that the slopes of AB, AC and BC are the same value.

If the slopes were different at all, then the points wouldn't be collinear. In this case, the slope is 2/3 because we move up 2 each time we move to the right 3 units.

First one since they are on the same line they have the same slope
And the slope of the line is constant

Name the rule for this sequence.

18, 14, 10, 6, 2,…
A. subtract 4 from the previous term
B. add 4 from the previous term
C. divide the previous term by 4
D. divide the previous term by 4

Answers

Answer:

It is A

Step-by-step explanation:

Because 18 to 14 is subtracting 4 and then it goes 14 to 10 which is another 4. Hope you ace the quiz or test or whatever your doing hope it helps.

Option A

It's an arithmetic sequence

First term=a=18Common difference=d=4.

Rule is

[tex]\\ \rm\hookrightarrow a_n=a+(n-1)d[/tex]

[tex]\\ \rm\hookrightarrow a_n=18+(n-1)4[/tex]

if the legs of a triangle are 6cm and 5cm, find the area of the triangle

Answers

15 cm^2


A= 5*6/2= 30/2= 15 cm^2

Answer:

A = 15cm^2

Step-by-step explanation:

A = bxh/2

A= 5x6/2

A=30/2

A=15cm^2

Can someone please solve these up to 8? ( if you can do up to 13 even better)

Answers

Answer:

1. some rectangles are squares

2. all rhombuses are quadrilaterals

3. no squares are triangles

4. some rectangles are regular quadrilaterals (squares are rectangles)

5. some quadrilaterals have four congruent angles

6. no rectangles are rhombuses

7. all squares are regular quadrilaterals

8. some parallelograms have four congruent angles

Create a rule to find the nth term.
4096, 2048, 1024, ...

Answers

Answer:

n=4096+(n-1)*-2048

Step-by-step explanation:

Use the five rules to determine whether the following are valid from the Boolean standpoint, valid from the Aristotelian standpoint, or invalid. For those that are invalid from either the Boolean or Aristotelian standpoint, name the fallacy or fallacies committed. Check your answer by constructing a Venn diagram for each.
i. No individuals sensitive to the difference between right and wrong are people who measure talent and succss in terms of wealth.
ii. All corporate takeover experts are people who measure talent and success in terms of wealth.
iii. Therefore, no corporate takeover experts are individuals sensitive to the difference between right and wrong.

Answers

The statements presented would be valid from both the Aristotelian and the Boolean standpoint.

What are the principles that make statements valid or invalid?

Some principles to test is statements are valid or invalid are:

Universal prepositions are valid if they refer to existing elements (Aristotelian standpoint).Prepositions are valid if the premises and conclusion are valid even if these do not refer to existing elements (Boolean standpoint).

Based on this, the statements presented would be valid from both the Aristotelian standpoint and the Boolean standpoint because the premises (I and II) are logically connected, and they refer to existing elements.

Learn more about logic in: https://brainly.com/question/4255659

In a function, y varies directly with x, and the constant of variation is 2. Which table could represent this function?
х
2
4
6
8
у
1
2
4
8
colo
у
4
х
2.
4
6
8
10
х
2
4
6
8
у
8
12
16
20
600 ola
COCO
х
2
у
4

Answers

Answer:

the first option is correct

In a function, y varies directly with x and the constant variation is 2, then the function is y=2x. Therefore, option D is the correct answer.

What is direct variation?

Mathematical relationship between two variables which can be expressed by an equation in which one variable is equal to a constant times the other.

Given that, in a function, y varies directly with x and the constant variation is 2.

y∝x

y=kx, where k is constant variation.

Here, k=2

Then, y=2x

When x=1, 2, 3, 4 and 5.

We get, y 2, 4, 6, 8 and 10

Therefore, option D is the correct answer.

Learn more about the direct variation here:

https://brainly.com/question/13977805.

#SPJ7

Can someone please help me? :(

Answers

Answer:

x>3  here is your answer

Your cell phone bill is $38.00.
You have a coupon for 5% off.
What is the new total?
Please help me

Answers

The answer is $36.10, you just take 5% off of the original price $38.00

The model of a trinomial is shown. An algebra tile configuration. 0 tiles are in the Factor 1 spot and 0 tiles are in the Factor 2 spot. 24 tiles are in the Product spot: 1 is labeled x squared, 7 are labeled negative x, the 2 tiles below x squared are labeled x, and the 14 tiles below the negative x tiles are labeled negative. What are the factors of the trinomial? Select two options. X – 14 x 7 x – 7 x – 2 x 2.

Answers

The factors of the model of trinomial, which is represented by the algebra tile configuration, is,

[tex]x-7, x-2[/tex]

What is trinomial?

Trinomial is the polynomial in which the highest power of the unknown variable is 3.

The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.

The model of a trinomial is shown. An algebra tile configuration. 0 tiles are in the Factor 1 spot and 0 tiles are in the Factor 2 spot.

24 tiles are in the Product spot: 1 is labeled x squared, 7 Thus, one of the factor of trinomial is,

[tex](x-7)[/tex]

The 2 tiles below x squared are labeled x, and the 14 tiles below the negative x tiles are labeled negative. Thus, the another factor of the trinomial is,

[tex](x+2)[/tex]

The factors of the model of trinomial, which is represented by the algebra tile configuration, is,

[tex]x-7, x-2[/tex]

Thus, the option C and E is the correct option.

Learn more about trinomial here;

https://brainly.com/question/24380382

Answer:

3 and 5

Step-by-step explanation:

2022

If an object is projected upward with an initial velocity of 125 ft per sec, its height h after t seconds is h = - 161? + 125t. Find the height of the object after 5 seconds

Answers

Answer:

464 ft

Step-by-step explanation:

h = 125t - 161

h = 125(5) - 161

h = 625 - 161

h = 464

Please help!! Will give brainliest.

Answers

Answer:

Step-by-step explanation:

[tex]=3x-(-2-4x)\\\\=3x+2+4x\\\\=7x+2\\\\=7*5+2\\\\=35+2\\\\=37[/tex]

[tex]=3x-(2-4x)\\\\=3x-2+4x\\\\=7x-2\\\\=7*5-2\\\\=35-2\\\\=33[/tex]

[tex]=-3x-(-2-4x)\\\\=-3x+2+4x\\\\=x+2\\\\=7+2\\\\=9[/tex]

So bad with this someone please help

Answers

Answer:

The mean travelling time is 25 minutes.

Step-by-step explanation:

add up all of the values and divide by how much values there are. 5+15+25+35+45 equals 125. 125/5 equals 25

what I wrote earlier was cut off sorry, this is what I mean:

You can download Gauthmath if you want to solve your math problems.

Available on Playstore/Appstore

help me pleaseee!!! just one more question-!!​

Answers

use a ruler to draw a nicer shape

Find the perimeter. Simplify your answer.

Answers

Answer: 20c^2+7c-6 (ADD LIKE TERMS)

Answer:

[tex]p=20c^{2} +7c-6[/tex]

Step-by-step explanation:

[tex]p=5c^{2} +15c^{2} +8c+c-2c+6-9-3[/tex]

[tex]p=20c^{2} +7c-6[/tex]

Hope this helps

Kimberly has a credit card with a 19% APR and a balance of $4,350. With her current monthly payment, Kimberly will be able to pay off the credit card in a mere 16 months. But when Kimberly's car breaks down, she is forced to charge an additional $1,600 to her credit card. How much will Kimberly's minimum monthly payment increase if she still wants to pay off her credit card in 16 months? a. $100. 00 b. $113. 99 c. $309. 90 d. $423. 89.

Answers

Answer:

19%=0.19+$4,350/16=$272+$1,600=$1872+0.19=1872.19/12=$156+$4,50=

$375.50

Answer: C. $309.

Step-by-step explanation:

Answer:

✅ b. $113.99

i took the test⬇️

Identify the terms and the like terms in this expression. 7 + a – 2 + 3a + b2 Which statements are true? Check all that apply.

- The expression contains seven terms.

- The terms in the expression are 7, a, 2, 3a, b2.

- Constants are like terms.

- 2 and b2 are like terms because they both contain the number 2.

- a and 3a are like terms.

- a, 3a, and b2 contain variables, so they are like terms

Answers

Step-by-step explanation:

Terms can be a single number or variable, or a coefficient.

The expression contains seven terms, incorrect. Doesn't include coefficients.

The terms in the expression are [tex]7[/tex], [tex]a[/tex], [tex]2[/tex], [tex]3a[/tex], [tex]b^2[/tex]. Correct. Includes coefficients.

Constants are like terms, correct. (7, 2)

2 and [tex]b^2[/tex] are like terms because they both contain the number 2, incorrect. [tex]b^2[/tex] can only combine with a coefficient with the exact same terms. ([tex]b^2[/tex])

a and 3a are like terms, correct. Both are like terms since both have the variable of a.

a, 3a, and [tex]b^2[/tex] contain variables, so they are like terms. Incorrect. As said before, [tex]b^2[/tex] can't combine with 3a and a. (4a)

How many solutions does the equation 4(x-1)=1/2(x-8) have?

Answers

Answer:

Should be just one solution :)

Step-by-step explanation:

Answer:

It just has one solution :)

Step-by-step explanation:

4(x+1)=1/2(x-8)

4x-4 = 1/2(x-8)

4x-4=1/2x-4

4x=1/2x

8x=x

(8x-x=0)

(7x=0)

Therefore x=0

What is the measure of an exterior angle of a regular hexagon?

Answers

Answer:

60 degrees

Step-by-step explanation:

Each exterior angle of a regular polygon of n sides = 360° / n. 

Please explain number 17 that is the answer on this picture but I cannot understand it I need this done tonight you will get Brainly

Answers

Answer:

[tex]x^{2} +2y^{2} +8xy[/tex]

Step-by-step explanation:

[tex]6x^{2} -4xy + 2y^{2} -5x^{2} +2xy+10xy[/tex]

Okay, so of course you need to add like terms. But where should you start? Well, [tex]6x^{2}[/tex] and [tex]-5x^{2}[/tex] are both like terms, so lets add them first.

[tex]6x^{2} -5x^{2} = x^{2}[/tex]

Also, [tex]-4xy[/tex], [tex]2xy[/tex], and [tex]10xy[/tex] are like terms, so we can add them together too.

[tex]-4xy + 2xy +10xy = 8xy[/tex]

There isn't anymore like terms, so now we need to put it in simplest form.

[tex]x^{2} +2y^{2} +8xy[/tex]

Hope this helps! I actually think 2y^2 is before x^2 in the answer, but unless you need it in simplest form it shouldn't matter. Review with your teacher before turning in if you can. :))

The price for 3 protein bars $3.75, and the price of 3 fruit cups is $1.50. Write the equation
that represents the relationship between the number of protein bars, x, and fruit cups, y,
that you can buy with $15.50.

How many fruit cups can you buy with 4 protein bars?

Answers

Answer:

7 fruit cups

Step-by-step explanation:

$3.75/3x + $1.50y = $15.50

So, if you have 4 protein bars, the equation would read:

1.25x + 1.5y = 15.5

1.25(4) + 1.5y = 15.5

5 + 1.5y = 15.5

1.5y = 10.5

y = 7

Can the sides of a triangle have lengths 7, 12, and 18?

Answers

Answer:

Yes

Step-by-step explanation:

By the Triangle Inequality Theorem, if a supposed triangle has sides [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] where [tex]c[/tex] is the longest side, then [tex]a+b\geq c[/tex].

Here, [tex]7+12\geq18[/tex], so the given sides of the triangle can have these lengths

What is the measure of m?
m
m
n
8
4
m = [?]
=
Give your answer in simplest form.
Enter

Answers

Answer:

  m = 4√6

Step-by-step explanation:

Using the "geometric mean" relations applicable to this triangle, the value of m is the geometric mean of the hypotenuse segments it touches:

  m = √((8)(8+4)) = √96

  m = 4√6

__

Additional comment

Similarly, n = √(4×8) = 4√2.

These relations come from the similarity of the triangles. For m, the proportion is ...

  long side/hypotenuse = 8/m = m/12

  96 = m²   ⇒   m = 4√6

Which equation has the solution x = 5?


Select each correct answer.


18−2x=9

32−4x=12

11 + 6x = 22

25x+4=9

x5+5=6

3x + 1 = 9

Answers

32-4x=12
is the only one i see that x = 5

A CEO wondered if her company received either more or less complaints from its workers on Monday than any other day. She figured that if it were truly random, 20% of the complaints should have been filed on Monday. She randomly selected 50 complaints and checked the day that they were submitted. In those complaints 13 were submitted on a Monday. The CEO conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of complaints submitted on a Monday is different from 20%. (a) Which answer choice shows the correct null and alternative hypotheses for this test?

Answers

Answer:

test statistic: 1.061    p-value: 0.289

Step-by-step explanation:

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