Las longitudes de dos lados de un octágono regular están representadas por las expresiones 2x + 4 y 3x-8. Encuentra la longitud de un lado del octágono

Answers

Answer 1

Answer:

La longitud del lado del octágono es de 28 unidades.

Step-by-step explanation:

Si las longitudes de los dos lados pertenecen a un octágono regular, entonces se satisface la siguiente condición:

[tex]2\cdot x + 4 = 3\cdot x - 8[/tex] (1)

A continuación, despejamos [tex]x[/tex] en (1):

[tex]3\cdot x - 2\cdot x = 4 + 8[/tex]

[tex]x = 12[/tex]

Ahora, determinamos la longitud del lado del octágono: ([tex]x = 12[/tex])

[tex]l = 2\cdot x + 4[/tex]

[tex]l = 28[/tex]

La longitud del lado del octágono es de 28 unidades.


Related Questions

1. A student has a rectangular block. It is 2 cm wide, 3 cm tall, and 25 cm long. It has a
mass of 600 g. Determine the density of the block to the nearest unit.
8.9

Answers

Answer:

20 gcm^3

Step-by-step explanation:

Density = mass / volume

Volume = 3 X 2 X 25 = 30 cm

600 / 30 = 20

not 100 % sure though

pls help! i will make brainliest .. i need help with number 4 .

Answers

Answer:

10.0 centimeters

Step-by-step explanation:

I took the test

Please help me ☹️☹️‍♀️
A picture below

Answers

Answer

Step-by-step explanation:

So first things First You are going to put a Dot on 2 on the y-axes, then the fraction is you Slope- Rise over- run

so you're going up 4 and over 5

Hope this helps !

Answer:

See attachment :)

Step-by-step explanation:

The given equation is in slope-intercept form, which lists the slope and the y-intercept of the line.

Slope-intercept form is  [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept. The y-intercept, 2, is a point on the y-axis where the line intersects with the axis. So, we can graph the given intercept on the y-axis, (0,2).

The slope, [tex]m[/tex], is [tex]\frac{4}{5}[/tex]. The slope is the rise of the line over the run, or [tex]\frac{rise}{run}[/tex]. For this equation, then, we rise 4 units and run 5.

We'll start from the y-intercept, a point we know will be on our line. From this point, move up 4 units, and right 5. A negative slope would run  to the left, but this is a positive line, so the run will go to the left. Now, we are on the point (5,6). From this point, we can repeat this [tex]\frac{rise}{run}[/tex].

A few of the following points are (10,10), (14,15), and (18,20). Now, draw a line connecting these points. This line is a graph of our equation.

I've attached a photo of the graphed line.

Good luck :)

What are the formulas for a 90, 180, 270, and 360 rotation?

Answers

formulas: 90 = (b, -a),180 = (-a, -b); 270 = (-b, a); 360 = (a, b).

Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equation to find the number of bottles she needs to sell to earn $100. 1.25x + 1.49 = 100 What error did Barbara make in writing the equation? the number of bottles of water.​

Answers

Answer:

she didnt write an x next to the 1.49 in her equation. she is writing an equation for how many bottles she is selling but according to her equation she is selling water for 1.25$ times x amount of bottles and selling only one ice tea

What is the value of 4.2(46-65). A.798 b.-79.8 C.79.8 D.798. I just need the answer you don’t have to work it out

Answers

Answer:

b. -79.8.

Step-by-step explanation:

We calculate what's in the brackets first:

46 - 65

= -19

Now multiply by 4.2:

-19 * 4.2

= -79.8.

BRAINLIEST TO CORRECT ANSWER!!! NO links as answers, or you will be reported!! (question 4)

Answers

Answer:

Hello! Your answer would be, C) Divide by 2

Step-by-step explanation:

And plz don't be mean. :(

Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia

FACTOR this trinomial: 2x^2+17x+35
**show step by step explanation or no brainliest**

Answers

Answer:

which class question ???????

Step-by-step explanation:

and which chapter...........

Answer:

(2x+7)(x+5)

Step-by-step explanation:

2 x ² + 17 x +35=2 x ² + 7 x + 10 x +35=x(2x+7)+5(2x+7)=(2x+7)(x+5)

A random number generator is used to select a number from 1 to 50 (inclusively). What is the probability of selecting the number 28?
(Type an integer or a decimal. Do not round.)

Answers

Answer:

the answer is 1/50

Step-by-step explanation:

A random number generator is used to select an integer from 1 to 50. Since random number generator generates any number randomly, all the numbers from 1 to 50

Please Help! Will give Brainliest!!
Write with our the absolute value sign

Answers

I think the answer is 11

Since y is less than -5, -6 would work,

The absolute sign changes the - into a positive so 6+5 = 11

The correct answer is -(y + 5) or -y -5.

Out of the 90 customers at Eva's boutique35 wore a size extra-large. What is the probability that a randomly selected customer wore a size extra-large? Write your answer as a fraction or whole number. P(extra - large) =

Answers

Answer: 7/18

Step-by-step explanation:

Number of customers at Eva's boutique = 90

Number of customers who wore a size extra-large = 35

The probability that a randomly selected customer wore a size extra-large will be:

= Number of customers who wore a size extra-large / Number of customers at Eva's boutique

= 35 / 90

= 7/18

Therefore, the probability that a randomly selected customer wore a size extra large is 7/18.

Help please! Will give brainiest!!!!!!!
Write an equation in slope-intercept form of the line that passes through the given points.

Answers

Answer:

y = -1/2x+1

Step-by-step explanation:

12 points
1. FIND THE SLOPE
A. 2
6
4
B.
-2
2
-6
1-2
-4
X
0
D.
Ο Α

Answers

Answer:

i think it's 1, but I don't know if I'm right

Answer:

1

Step-by-step explanation:

2/2 = 1

Please help with this its confusing somehow :(​

Answers

Answer:

x=4 and y=2

Step-by-step explanation:

SOMEONE PLS HELP IM CONFUSED , WILL MARK BRAINLIEST

Answers

Answer. multiply 13 and 64 then round to the nearest tenth

Step-by-step explanation:

I hope it helps :)

2) What is the five-digit number, no zeroes, in which the second digit is three times the first, the third is one more than the second, the fourth is four
times the first and the last is one-half more than the second?

Answers

the five digit number:

let the first digit be x

x _ _ _ _

x 3x _ _ _

x -3x- 3x+1- 4x- 3x+1.5x

This is the structure of the digit:x -3x- 3x+1- 4x- 3x+1.5x

56 = -48 - 8y
Please answer quickly

Answers

rearrange them first add 48 to both sides of equations. simplify them 104 = 8y y=-13

Step-by-step explanation:

hope this helps

Answer: y = 13
First: opposite operation
Second: add
Third: division
And you will get your answer.
56 = -48 - 8y
+48. +48
104 = 8y
8. 8
Y= 13

A rectangle has vertices at: A(0, 0), B(0, 9), C(4, 9), D(4, 0) What is the perimeter of the rectangle?

Answers

Answer:

Rectangle Perimeter = 26

Step-by-step explanation:

Rectangle ABCD , Length = parallel horizontal sides are AB & CD, Breadth = parallel vertical sides = BC & AD

AB segment joining A (0,0) - B (0,9) = 9 units. CD joining C (4, 9) & D (4,0) = 9 units. So, Length = 9 units

BC segment joining B (0,9) - C (4,9) = 4 units. AD joining A (0,0) - D (4,0) = 4 units. So, Breadth = 4 units

Perimeter of rectangle = 2 (Length + Breadth)

= 2 (9 + 4)

= 13 x 2 = 26

Write the equation of the line that passes through (−3,1) and (2,−1) in slope-intercept form

Answers

Answer:

[tex]y=-\frac{2}{5}x-\frac{1}{5}[/tex]

Step-by-step explanation:

The equation of a line is y = mx + b

Where:

m is the slopeb is the y-intercept

First, let's find what m is, the slope of the line.

Let's call the first point you gave, (-3,1), point #1, so the x and y numbers given will be called x1 and y1.

Also, let's call the second point you gave, (2,-1), point #2, so the x and y numbers here will be called x2 and y2.

Now, just plug the numbers into the formula for m above, like this:

[tex]m = -\frac{2}{5}[/tex]

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

[tex]y=-\frac{2}{5}x + b[/tex]

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(-3,1). When x of the line is -3, y of the line must be 1. (2,-1). When x of the line is 2, y of the line must be -1.

Now, look at our line's equation so far: [tex]y=-\frac{2}{5}x + b[/tex]. [tex]b[/tex] is what we want, the -[tex]-\frac{2}{5}[/tex] is already set and x and y are just two 'free variables' sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-3,1) and (2,-1).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!

You can use either (x,y) point you want. The answer will be the same:

(-3,1). y = mx + b or [tex]1=-\frac{2}{5} * -3 + b[/tex], or solving for b: [tex]b = 1-(-\frac{2}{5})(-3)[/tex].[tex]b = -\frac{1}{5}[/tex]. (2,-1). y = mx + b or [tex]-1=-\frac{2}{5} * 2 + b[/tex], or solving for b: [tex]b = 1-(-\frac{2}{5})(2)[/tex]. [tex]b = -\frac{1}{5}[/tex].

See! In both cases, we got the same value for b. And this completes our problem.

The equation of the line that passes through the points  (-3,1) and (2,-1) is [tex]y=-\frac{2}{5}x-\frac{1}{5}[/tex]

18. Hoping to lure more shoppers downtown, a city


builds a new public parking garage in the central business


district. The city plans to pay for the structure through


parking fees. During a two-month period (44 weekdays),


daily fees collected averaged $126, with a standard


deviation of $15.

Answers

Answer:

The responses to these question can be described as follows:

Step-by-step explanation:

Please find the complete question in the attached file.

For the random condition:

If other regular fees have been chosen at random, I'd claim I'm satisfactory.

State of autonomy:

Truly content, since the 44 daily fees represent less than 10% of the total population of daily payments, the community must have more than 440 daily fees.

In the  Normal Condition:

Since the sample size of 44 is 30 or more, the distribution of the sample means is roughly Normal (as per the total probability theorem).

The angle of depression of a buoy from a point on a lighthouse 120 feet above the water's surface is 10 degrees. Find the distance from the lighthouse to the buoy. Leave answer with two decimal places.

Answers

Answer:

680. 55 feets

Step-by-step explanation:

From the diagram, distance from lighthouse to buoy = x

Angle from top of lighthouse to buoy = (90 - 10) = 80°

Using the trigonometric relation :

Tanθ = opposite / Adjacent

Opposite = x

Adjacent = 120

Tan 80 = x / 120

5.6712818 = x / 120

x = 5.6712818 * 120

x = 680. 55 feets

is this a proportional relationship?

3 2
6 4
9 6
12 8
15 10​

Answers

Answer:

Yes

Step-by-step explanation:

I got it right.

choose the monetary amount that is equivalent to 1 7/100


$ 1.70
$ 0.07
$ 1.07
$ 0.70

plsssssssssssssssssssssssssssssssssssss answer ​

Answers

Answer:

c. $1.07 is equivalent to 1 7/100

Step-by-step explanation:

hope this helps :)

The leaning tower of pisa in italy has a height of 183 feet and is 4∘ off vertical. find the horizontal distance d that the top of the tower is off vertical. round your answer to the nearest tenth of a foot.

Answers

The horizontal distance d that the top of the tower is off vertical is equal to the 190.32feet.

We have given that,

The leaning tower of Pisa in Italy has a height of 183 feet and is 4∘ off vertical.

We have to determine the horizontal distance d that the top of the tower is off vertical. round your answer to the nearest tenth of a foot.

What is the horizontal distance d?

The horizontal displacement of a projectile depends upon the initial horizontal speed and the time of travel. The vertical displacement of a projectile.

The horizontal distance d that the top of the tower is off vertical.

183 times 1.04=190.32.

Therefore the horizontal distance d that the top of the tower is off vertical is equal to the 190.32feet.

To learn more about the horizontal distance visit:

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Tad began his math homework at 8:12 pm. He finished at 8:41 pm. How many minutes did Tad spend on his math homework?

Answers

Answer:29 mins

Step-by-step explanation: you take 41- 12= 29

29 minutes that’s the answer

need help asap! solve for x, the measure of the altitude in the given triangle

Answers

Answer:

3.9

Step-by-step explanation:

[tex]8^{2} -7^{2} =15[/tex]

[tex]\sqrt{15} =3.9[/tex]

Mr. Kumar is getting his house renovated. 1/5 th of the work has been completed in 2 months. How much time will it take for the entire work to be completed?

Answers

Answer:

10 months

Step-by-step explanation:

If it takes 2 months to do 1/5th, it will take 4 months to do 2/5, 6 months to do 3/5, 8 months to do 4/5, and 10 months to do 5/5 or in other words the whole thing.

The remaining work will take 8 month.

What is Algebra?

Algebra is the branch of mathematics that represents problems in the form of mathematical expressions. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.

Given:

As,  1/5 th of the work has been completed in 2 months.

let the total time taken to complete the work is 'x' month.

1/5 * x = 2

x= 5*2

x=10 month

Hence, remaining work will take (10 - 2) = 8 month.

Learn more about algebra here:

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how many perfect squares are there between 2 and 140​

Answers

Answer:

11

Step-by-step explanation:

4, 9, 16, 25, 36, 49, 64, 81, 100, 121

There are 10 numbers who are perfect squares.

What is Square of a number?

When an integer is multiplied by the same integer, the resultant number is known as a square number. For example, when we multiply 5 × 5 = 52, we get 25. Here, 25 is a square number. Square numbers are always positive, they cannot be negative because when a negative number is multiplied by the same negative number, it results in a positive number.

Properties of Square Numbers

The properties of square numbers are listed below which helps to identify them easily.

Square numbers always end with the digits 0, 1, 4, 5, 6, and 9. For example, 25, 49, 81, 100, etc are perfect squares, whereas, 37, 48, 22, etc are not considered to be perfect square numbers.The number of zeros at the end of a square number is always even. This means if a number has an odd number of zeros at the end, then the number is not a square number. For example, 400, 3600 are square numbers, whereas, 10, 250, and 360 are non-square numbers.If a number has 1 or 9 as its last digit, then its square number ends with 1. For example, the square of 9 is 81, and the square of 11 is 121.If a number has 4 or 6 as its last digit, then its square number ends with 6. For example, the square of 4 is 16, and the square of 26 is 676.The square of even numbers is always even, and the square of odd numbers is always odd. For example, the square of 12 is 144, and the square of 13 is 169.Square numbers are always positive because two negative signs multiplied by each other result in a positive sign. For example, (-6)2 = -6 × -6 = 36 . Here, the product is 36 and it is a positive square number.

Given:

2 and 140

Now, the perfect squares are:

√4=2

√9=3

√16 =4

√25=5

√36=6

√49=7

√64=8

√81=9

√100=10

√121=11

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Algebra 2 will mark brainliest. 4 pictures 4 questions

Answers

Answer:

decreasing because x is negative.

Simplify the expression 3.4(-2) + 10

Answers

3.2 ; to get this answer you do 3.4(-2) = -6.8 then you add ten -6.8 + 10 = 3.2
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