1. The sum of the external angles at the four vertices of a convex 9-gon is 120° and their ratio is 2:3:3:4. If the ratio of the remaining five exterior angles is 4:6.5:5.5:2.2:5.8, find the interior angles of the convex octagon.

2. The sum of external angles at five non-neighboring vertices of a convex decagon is 160°, the maximum of which is 45°, the minimum is 15°, and the ratio of the remaining three angles is 3:4:3. The interior angle ratio in the remaining five vertices was 5:2:3:8:7. Find the interior angles of a convex decagon

3. When the longest diagonal of a convex hexagon is drawn, two equal quadrilaterals are formed. If the exterior angles of a quadrilateral are in the ratio 1:2:4:5, find the exterior angles of a convex hexagon.​

Answer:

Positive nonlinear association

Step-by-step explanation:

It is slightly curved upwards and not spread out so its positive and nonlinear

Here are some images to help you understand more

Answer:

\( \huge{ \boxed{ \sf{ \sqrt{18} \: units}}}\)

Step-by-step explanation:

\( \star{ \sf{ \:Sea \: M (2, 2) \: (x1, y 1) \: y \: N (5, -1) \: sea \: (x2, y2).}}\)

\( \star{ \sf{ \: Usando \: la \: fórmula \: de \: la \: distancia}} : \)

\( \boxed{ \sf{distancia = \: \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}\)

\( \mapsto{ \sf{distancia \: = \: \sqrt{ {(5 - 2)}^{2} + {( - 1 - 2)}^{2} } }}\)

\( \mapsto{ \sf{distancia = \sqrt{ {(3)}^{2} + {( - 3)}^{2} } }}\)

\( \mapsto{ \sf{distancia \: = \sqrt{9 + 9}}} \)

\( \mapsto{ \sf{distancia = \sqrt{18} \: units}}\)

\( \sf{¡Espero \: haber \: ayudado!}

\)

\( \sf{¡Atentamente!}\)

~\( \text{TheAnimeGirl}\)

Answer:

y = 40 / sqrt(pi)

Step-by-step explanation:

The area is 400

We want to find the diameter

400 = pi r^2

Divide each side by pi

400/ pi = r^2

Take the square root of each side

sqrt(400/ pi) = sqrt(r^2)

20/ sqrt(pi) = r

The diameter is twice the radius

2 r = d

2 * 20/ sqrt(pi) = d

40 / sqrt(pi) =d

y is the diameter so

y = 40 / sqrt(pi)

Answer:

48 square inches

Step-by-step explanation:

Given

See attachment for kite

Required

The area of the kite

The given kite has a triangular shape.

So, the area is:

\(Area = 0.5 * base * height\)

From the attachment

\(base = 12in\)

\(height = 8in\)

So:

\(Area = 0.5 * 12in* 8in\)

\(Area = 48in^2\)

The train takes 6 hours to travel the same distance.

From the question, we have

A train with 20km per hour takes 3 hours  to travel the distance .

Another train with 10km per hour takes = (3*20)/10 hours

=6 hours

Multiplication:

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

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Answer:

8

Step-by-step explanation:

15-7=8

8+7=15

Answer:

16

Step-by-step explanation:

1) Subtract 7 from 15. 15-7=8

2) Multiply 8 by 2. 8x2=16

Therfore your answer is 16.

Answer:

r^2+3r-4

Step-by-step explanation:

combine like terms:

2r+r

vvvv

3r+r^2-4

rearrange terms:

r^2+3r-4

Answer:

1/4

Step-by-step explanation:

answer key lang sakalam

#carry learning

Answer:

The correct answer is B. The original population of State B was half the original population of State A.

Step-by-step explanation:

Hope i helped :)

\(\bold{Solution:}\)

\(\text{Total number of Bags} = 4\)

\(\text{Total mass in 4 bags } = 6 \ \text{kg}\)

\(\text{Total mass in 1 bag}}=\dfrac{6}{4} \ \text{kg}\)

\(\bold{We \ know \ that}\)

\(\text{1 kg = 1000 gram}\)

\(\text{1 gm}= \dfrac{1}{1000} \ \text{kg}\)

\(\text{we have to convert} \ \dfrac{6}{4} \ \text{kg to grams}\)

​

\(\dfrac{6}{4} \ \text{kg} = \dfrac{6}{4} \times 1000 \ \text{gm}\)

\(=1750 \ \text{gm}\)

\(\bold{So, \ the \ total \ mass \ of \ the \ box \ in \ grams \ is \ 1,500 \ gm}\)

Answer:

I think 20,000 sheets of paper

Step-by-step explanation:

800 x 25 is 20,000

Answer:

The school has 20,000 sheets of paper.

Step-by-step explanation:

800 sheets in one pound

800X25=20,000

Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

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Answer:

Step-by-step explanation:

Find 5% of $79:

Answer:

Abdul must pay $ 3.95.

Step-by-step explanation:

Now we have to,

→ find the amount of tax he must pay.

Then the amount will be,

→ (79/100) × 5

→ 0.79 × 5 = $ 3.95

Hence, he must pay $ 3.95.

This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.

Solving for the area and scale factor we have:

L= 5 units

W = 2 units

A = (5 x 2)

A = 10 square units.

A= (Scale factor of  L * W)*  L * W

= (2 x 2 x 5 x 2)

A = 40 square units.

A= (Scale factor of  L * W)*  L * W

= (3 x 3 x 5 x 2)

A= 90 square units

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Answer: y = -1/8x

Step-by-step explanation:

Given: Points (0,0) and (16,-2)

Slope is defined as the difference between the y points divided by the difference between the x points

y₂ - y₁ / x₂ - x₁

Step 1: Find the slope

-2 - 0 / 16 - 0 = -2/16 = -1/8

This is the slope

Step 2: Find the y intercept

The point at which x is zero occurs where y is zero, so the y-intercept is zero

y-intercept = 0

Step 3: Write the equation

y = -1/8x  or  y = -1/8x + 0

Answer:

2+4a

Step-by-step explanation:

Answer:

slope - (2x)

y-intercept - (-1)

Step-by-step explanation:

-8x + 4y = - 4

4y = 8x - 4

y = 2x - 1

The relationship between the linear correlation coefficient r and the slope b of a regression line is that the value of r will always have the same sign as the value of b. So, the correct option is B.

This means that if the slope is positive, indicating a positive relationship between the variables, the correlation coefficient will also be positive. Similarly, if the slope is negative, indicating a negative relationship between the variables, the correlation coefficient will also be negative. It is important to note that the magnitude of r and the magnitude of b may not necessarily be the same. Therefore, option B is the correct answer.

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Explanation:

The question is

Convert

Concept:

To do this, we will use the conversion below

Hence,

Uidn the conversion rate, we will have trha

Hence,

The final amswer is

Answer:

It’s a.

Step-by-step explanation:

Plus have this...

YOU MATTER, BE YOU, don’t let anyone tell you otherwise. You are beautiful/handsome. You are one of a kind. you are here for a reason, be the reason someone lives today!

Spread this message of hope because I may need it but others need it most!

For every message like this I see I will give out 20 free points and if you put this on my questions I will give you more points. have a nice day!

Answer:

x=3

Step-by-step explanation:

\(9x+11=4x+26\\5x=15\\x=3\)

Answer:

Step-by-step explanation:

The X Form = 3

Answer:

500 millilitres

Step-by-step explanation:

I hope it will help you

Answer:

Step-by-step explanation:

1 litre = 1000 millilitres

0.5 Litre = 500 milliliters

Answer:

Step-by-step explain

i did not do the 1 and 2 srry

Answer:

\(y=3x-8\)

Step-by-step explanation:

The verdict which is true about the radius of all three arcs when constructing an angle bisector is; - No; the second two arcs must have the same radius but it can be different from the first.

The correct answer option is option C.

Recall that an angle at point, O is formed by the intersection of two lines; say lines A and B.

Hence, in a bid to draw the Angie bisector of the angle; AOB, three arcs are needed.

The first arc is an arc drawn by placing the pivot of the compass at the point, O and drawing an arc which intersects lines A and B. The radius of this first arc in discuss can be any value.

Subsequently, the other two arcs are propagated using the points of intersection of the first arc with both lines such that the two arcs intersect.

It is however noteworthy to know that these two arcs must have the same radius.

Ultimately, the second two arcs must have the same radius but it can be different from the first.

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Answer:

\(auphy = (6 \: 9 \: 11) \\ ainter \: section \: phy = null \: set \\ thank \: you\)

Step-by-step explanation:

1minute=60seconds

500 meters=60

100 meters=x

cross multiply

500×x=100×60

500x=6000

x=12

Mr. A will use 12seconds

450meters=70

100=a

cross multiply

450×a=100×70

450a=7000

divide both sides by 450

400=45

100=n

cross multiply

400×n=100×45

400n=4500

divide both sides by 400

divide and get your answer

Answer: Let's solve this problem step by step.

First, let's assume the salaries of An and B to be 5x and 3x, respectively, where x is a common multiplier.

According to the given information, they save Rs. 2600 and Rs. 1800, respectively. Since savings come from the remaining portion of their incomes after spending, we can calculate their expenditures as follows:

For An:

Income of An = Salary of An + Savings of An

Income of An = 5x + 2600

For B:

Income of B = Salary of B + Savings of B

Income of B = 3x + 1800

Now, let's consider the proportion of their expenditures. It is given that the proportion of their expenditures is 9:5. So, we can write the following equation:

(Expenditure of An)/(Expenditure of B) = 9/5

Since expenditure is the complement of savings, we have:

[(Income of An - Savings of An)] / [(Income of B - Savings of B)] = 9/5

Substituting the previously derived expressions for income, we get:

[(5x + 2600 - 2600)] / [(3x + 1800 - 1800)] = 9/5

Simplifying the equation, we have:

5x / 3x = 9/5

Cross-multiplying, we get:

5 * 3x = 9 * 3x

15x = 27x

Subtracting 27x from both sides, we have:

0 = 12x

This implies that x = 0, which is not a valid solution. Therefore, there seems to be an error or inconsistency in the given information or equations. Please recheck the problem statement or provide additional information to help resolve the issue.

Answer:

yes :

use the following formula :

a^2 +b^2 = c^2

now apply it to the problem :

5^2+12^2=13^2

do the exponent :

25 + 144 =169  

now add

169 =169

if they are equal , then it is a right triangle .

Given the function:

You can find the Inverse Function by following the steps shown below:

1. Rewrite the function using:

Then:

2. Solve for "x":

- Square both sides of the equation, in order to undo the effect of the square root on the right side:

- Apply the Subtraction Property of Equality by subtraction 9 from both sides of the equation:

- Apply the Division Property of Equality by dividing both sides of the equation by 3:

3. Swap the variables:

4. Replace the variable "y" with:

Then, you get:

Hence, the answer is: