Which condition will not create a gap or an overlap at a vertex of polygons?

The sum of the measures of the angles is greater than 360°.

The sum of the measures of the angles is equal to 360°.

The sum of the measures of the angles is less than 360°.

Answers

Answer 1

When the sum of the angles is exactly 360 degrees, there is no overlap or gap at the vertex.

What is a polygon ?

A polygon is a two-dimensional closed shape made up of line segments. It has three or more straight sides and angles. Some common examples of polygons are triangles, rectangles, squares, pentagons, hexagons, and octagons.

The properties of a polygon, such as the number of sides, angles, and vertices, depend on its type and shape.

The condition that will not create a gap or an overlap at a vertex of polygons is "The sum of the measures of the angles is equal to 360°."

When the sum of the angles is exactly 360 degrees, there is no overlap or gap at the vertex.

This condition is also known as the angle sum property of polygons, and it states that the sum of the interior angles of a polygon with n sides is equal to (n-2) times 180 degrees.

Therefore, When the sum of the angles is exactly 360 degrees, there is no overlap or gap at the vertex.

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Related Questions

Please somebody help me it’s due today

Answers

The value of the segments DB = 23.32 in, RK = 18.22 in and YK = 6.83 in.

What is Pythagoras Theorem?

The Pythagorean Theorem states that the square on the hypotenuse of a right triangle is equal to the sum of the squares on the triangle's legs.

The connection between the four edges of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem.

For the given figure we see the right triangle DHB.

Here, DH = 20 in and HB = 12 in.

Using the Pythagoras theorem we have:

DB² = DH² + HB²

DB² = 20² + 12²

DB² = 400 + 144

DB = 23.32

For the right triangle RHK we have:

HR = 16 and HK = 8.72

Using the Pythagoras theorem:

RK² = 16² + 8.72²

RK= 18.22

Also, KY = YK = 6.83 in.

Hence, the value of the segments DB = 23.32 in, RK = 18.22 in and YK = 6.83 in.

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A soccer player scores 3 goals in 2 games.How many goals are they expected to score in 9 games?

Answers

Answer: I could be wrong but its either going to be 13.5 or 13.

Step-by-step explanation:

Answer:

13.5 goals

Step-by-step explanation:

We can use a ratio to solve

3 goals                   x

---------------  = -------------

2 games            9 games

Using cross products

3 * 9 = 2x

27 = 2x

Divide each side by 2

27/2 = x

13.5 goals

Please help me! I’ve been sick and out of school so I don’t understand.. thanks! :)

Answers

Answer:

Step-by-step explanation: So first, you're gonna distribute the 4/5 to the b and the -5, by doing that u will get 3.2=4/5b - 4. Then you're gonna cancel out the -4 by adding it on both sides - 3.2+4=4/5b, you get 7.2=4/5b.  Multiply by the reciprocal of 4/5 which is 5/4 on both sides. 7.2 x 5/4 = b. you get 9 = b

What is 10x the value of the 7/10 in 637. 739

Answers

As per the given digit value, 10 times the value of the 7 in 637.739 is 7.

To understand this problem, we need to understand the concept of place value. In our base-10 number system, each digit in a number has a specific value based on its position, or place, in the number. The rightmost digit represents the ones place, the next digit to the left represents the tens place, the next represents the hundreds place, and so on.

In the number 637.739, the digit in the tenths place is 7. This means that the 7 represents 7 tenths, or 0.7. We can see this by writing the number in expanded form:

6 hundreds + 3 tens + 7 tenths + 7 hundredths + 3 thousandths + 9 ten-thousandths

So, if we want to find 10 times the value of the digit in the tenths place (which is 7), we need to multiply 0.7 by 10:

0.7 x 10 = 7

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Watch help video If using the method of completing the square to solve the quadratic equation x^(2)-19x+35=0, which number would have to be added to "complete the square"?

Answers

The number that would have to be added to "complete the square" is 90.25.

To complete the square for the quadratic equation x^(2)-19x+35=0, we would need to add the number 90.25 to both sides of the equation.

Step-by-step explanation:

1. Start with the given equation: x^(2)-19x+35=0
2. Move the constant term to the right side of the equation: x^(2)-19x=-35
3. Take half of the coefficient of the x term, square it, and add it to both sides of the equation: x^(2)-19x+(19/2)^(2)=-35+(19/2)^(2)
4. Simplify the right side of the equation: x^(2)-19x+90.25=-35+90.25
5. Combine like terms on the right side of the equation: x^(2)-19x+90.25=55.25
6. Write the left side of the equation as a perfect square: (x-9.5)^(2)=55.25
7. Take the square root of both sides of the equation: x-9.5=±√55.25
8. Solve for x: x=9.5±√55.25

Therefore, the number that would have to be added to "complete the square" is 90.25.

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Do segments with lengths 11, 12, and 20 form a triangle? If so, classify the triangle as acute, right, or obtuse?

Answers

Answer:

Yes, the segments with lengths 11, 12, and 20 can form a triangle.

To check this, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, we can check that:

11 + 12 > 20

11 + 20 > 12

12 + 20 > 11

Since all three inequalities are satisfied, the segments can form a triangle.

To classify the triangle, we can use the law of cosines, which relates the lengths of the sides of a triangle to the cosine of one of its angles. Specifically, for a triangle with sides a, b, and c and angle A opposite side a, we have:

c^2 = a^2 + b^2 - 2ab cos(A)

Using this formula, we can find the cosine of each angle and determine if the triangle is acute, right, or obtuse based on the values obtained.

For the given triangle, we have:

a = 11, b = 12, c = 20

cos(A) = (b^2 + c^2 - a^2) / (2bc) = (12^2 + 20^2 - 11^2) / (2 * 12 * 20) ≈ 0.714

Since cos(A) is positive and less than 1, the angle A is acute. Similarly, we can find the cosines of the other angles:

cos(B) = (c^2 + a^2 - b^2) / (2ca) ≈ 0.943

cos(C) = (a^2 + b^2 - c^2) / (2ab) ≈ -0.519

Since cos(B) and cos(C) are both positive and less than 1, angles B and C are also acute.

Therefore, the given triangle is acute.

A geometric sequence is shown below.
5, 11, 29, 83, ...
Which function describes this sequence?

Answers

The given sequence is not a geometric sequence, the quotients between consecutive numbers are different.

Which function describes this sequence?

Remember that the recursive formula for a geometric sequence is:

f(n) = r*f(n - 1)

Where r is the common ratio.

Here we have the terms:

5, 11, 29, 83

To get the value of r, take the quotient between consecutive terms:

r = 11/5 = 2.2

r = 29/11 = 2.63

r = 83/29 = 2.86

We should get the same value of r for every ofthese quotients, then we can conclude that the given sequence of numbers is not a geometric sequence, is other type of sequence.

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number pattern
please help!!!​

Answers

Answer:

it appears to be going up by adding odd numbers

Step-by-step explanation:

2+3=5+5=10+7=17+9=26 ect....

Andy has been saving his pocket money. He began the month with $44 and ended with $110. He said the end of the month amount was 250% of his original amount. Is the statement CORRECT? Justify your thinking

Answers

The Andy's statement is correct because the end of the month amount is indeed 250% of his original amount.

To determine if Andy's statement is correct, we need to verify if the end of the month amount is indeed 250% of his original amount.

Let original amount of money that Andy had at beginning of month be = x ;

According to the problem, he began with $44, so x = $44.

Let amount of money that Andy had at the end of the month be = y;

According to the problem, he ended with $110, so y = $110.

Andy's statement is that the end of the month amount of $110 is 250 percent of his original amount of $44;

⇒ y = 2.5x

Substituting the values,

We get,

⇒ $110 = 2.5 × $44;

Simplifying,

We get,

⇒ $110 = $110.

Therefore, Andy's statement is correct.

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A company makes wax candles in the shape of a rectangular prism. Each candle is 5 inches long, 4 inches wide, and 7 inches tall. How much wax will they need to make 420 candles?

Answers

The company will need 58,800 cubic inches of wax to make 420 candles.

How much wax will they need to make 420 candles?

To calculate the amount of wax required to make 420 candles,

We need to first calculate the volume of wax required to make one candle,Then multiply that by the total number of candles to find the total amount of wax required.

The volume of a rectangular prism is given by the formula V = l x w x h, where l is the length, w is the width, and h is the height.

So, we have

V = 5 in x 4 in x 7 in = 140 cubic inches

To find the total amount of wax required to make 420 candles,

We have

Total amount of wax = 140 cubic inches/candle x 420 candles

= 58,800 cubic inches

Hence, the company needs 58,800 cubic inches

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x^{4}-\frac{1}{3} x^{3}+ 2\sqrt{x} -5

Answers

Answer: X^4 - (1/3)X^3 + 2\sqrt{X} - 5 = 0

Step-by-step explanation:

The answer is:

X^4 - (1/3)X^3 + 2\sqrt{X} - 5 = 0

This is a quartic equation, meaning it has four terms with the highest degree of X being 4. It cannot be solved in terms of radicals, so an approximate solution must be used. This can be done through numerical methods, such as the Newton-Raphson method, which uses an iterative process to approximate a solution.

Use a vertical format to add the polynomials. -8x^(2)-9x-2 8x^(2)+10x-6 6x^(2)-4x+2

Answers

The sum of the polynomials is 6x^(2)-3x-6.

To add the polynomials using a vertical format, we will first write each polynomial in a column, lining up like terms vertically. Then, we will add the coefficients of each like term together to find the sum.

Here is the solution in a vertical format:

  -8x^(2)  -9x  -2
  +8x^(2) +10x  -6
  +6x^(2)  -4x  +2
 ------------------
   6x^(2)  -3x  -6



So, the sum of the polynomials is 6x^(2)-3x-6.

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Suppose you have a job that pays $13.50 per hour and you work anywhere from 10 to 40 hours per week. a. Write an equation, with a restriction on the variable I, that gives the amount of money, y, you will earn for working 2 hours in one week. y = _____ , Preview with ____ <= x <= ____ b. Use the function rule you have written in part a. to find the y values for the given z values: x = 10, y = ___ x = 20, y= ___
x = 30, y = ____. x = 40, y = ____ c. Construct a line graph from the information found in b. 520+ -480+ 440+ 400- 360 320- 280- 240 200 160+ 120+ 80- 40+ 10 20 30 40 Clear All Draw: Line Dot Open Dot d. State the domain and range of this function. Domain: ____ <= x <= ______
Range: <= y <= _____
e. What is the minimum amount you can earn in a week with this job? You'll earn at least $ ______.
What is the maximum amount? You can earn up to $ ____.

Answers

The maximum amount you can earn is $540

a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.

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Find the cube root of each number or expression. 7. 40 8. 162
10. x^(8)
11. -16a^(5)b

Answers

a)2

b)4

c)6

d)x2

e)-2a2b

For questions 7, 8, and 10:

The cube root of 7 is 2, the cube root of 40 is 4, and the cube root of 162 is 6. The cube root of an expression with an exponent can be found by dividing the exponent by 3; for example, the cube root of x8 is x2.

For question 11:

The cube root of -16a5b is -2a2b.

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At the sewing store, Janet bought a bag of mixed buttons. The bag included 270 buttons, of which 80% were large. How many large buttons did Janet get?

Answers

Answer: 216

Step-by-step explanation:

Equation:

270 x 80% = large buttons

To multiply by a percent, move the decimal to the left two places:

270 x 0.80 = large buttons

Solve:

270 x 0.80 = 216

Janet got 216 large buttons

Hope this helps!

Unit 2: Chapter 7b HW Score: 719 3/4 answered Save Question 3 Based on historical data, your manager believes that 37% of the company's orders come from first-time customers. A random sample of 245 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.26 and 0.44? (Enter your answer as a number accurate to 4 decimal places.) Question Help: Message instructor

Answers

The probability that the sample proportion is between 0.26 and 0.44 is 0.9998, or 99.98%.


The probability that the sample proportion is between 0.26 and 0.44 can be found using the normal distribution formula.

First, we need to find the mean and standard deviation of the sample proportion. The mean of the sample proportion is equal to the population proportion, which is 0.37. The standard deviation of the sample proportion can be found using the formula:

σ = √(p(1-p)/n)

Where p is the population proportion, and n is the sample size. Plugging in the given values, we get:

σ = √(0.37(1-0.37)/245) = 0.0196

Next, we need to find the z-scores for the given sample proportions. The z-score can be found using the formula:

z = (x - μ)/σ

Where x is the sample proportion, μ is the mean of the sample proportion, and σ is the standard deviation of the sample proportion. Plugging in the values for the lower bound of the sample proportion (0.26), we get:

z = (0.26 - 0.37)/0.0196 = -5.61

Similarly, for the upper bound of the sample proportion (0.44), we get:

z = (0.44 - 0.37)/0.0196 = 3.57

Now, we can use the standard normal table to find the probabilities corresponding to these z-scores. The probability for z = -5.61 is 0, and the probability for z = 3.57 is 0.9998.

Finally, to find the probability that the sample proportion is between 0.26 and 0.44, we subtract the lower probability from the upper probability:

P(0.26 < p < 0.44) = 0.9998 - 0 = 0.9998

Therefore, the probability that the sample proportion is between 0.26 and 0.44 is 0.9998, or 99.98%.

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simplify the product using a table (5hrs+4)(3hrs+6)

Answers

Answer:

The polynomial is:

[tex]15h^2+42h+24[/tex]

Step-by-step explanation:

We have to simplify the expression which is given as:

[tex](5h + 4)(3h + 6)[/tex]

We have to simplify with the use of a table as:

            3h              6

5h          [tex]15h^2[/tex]         [tex]30h[/tex]

4            [tex]12h[/tex]              [tex]24[/tex]      

Hence, the polynomial that is formed using this table form simplification is addition of all the entries in the table i.e.:

[tex](5h + 4)(3h + 6)=15h^2+30h+12h+24[/tex]

[tex](5h + 4)(3h + 6)=15h^2+42h+24[/tex]

Hence, the polynomial is:

[tex]15h^2+42h+24[/tex]

HELP ASAP
Use the square below
N
K
Find the mZOKL
Find the m/MOL
M
L

Answers

Answers
∠ OKL = 45

∠ MOL = 90

Explanation

All interior angles of a square equal to 90 degrees. All right angles are 90 degrees.

∠ OKL is a right angle (90 degrees) bisected in half, so it is 45.

∠ MOL is an interior angle so it is 90 degrees

olve the equation, and check the solutions. (x+6)/(x^(2)-5x+6)-(8)/(x^(2)-7x+10)=(x-6)/(x^(2)-8x+15)

Answers

We find that the equation holds true for both solutions. Therefore, the solutions are x = (117 + i√3631)/(10) and x = (117 - i√3631)/(10).

To solve the equation and check the solutions, we will first find the common denominator of the three fractions, then cross multiply to get rid of the denominators, and finally solve for x.

Step 1: Find the common denominator of the three fractions. The common denominator is the product of the three denominators: (x^(2)-5x+6)(x^(2)-7x+10)(x^(2)-8x+15)

Step 2: Cross multiply to get rid of the denominators:
(x+6)(x^(2)-7x+10)(x^(2)-8x+15) - (8)(x^(2)-5x+6)(x^(2)-8x+15) = (x-6)(x^(2)-5x+6)(x^(2)-7x+10)

Step 3: Simplify and solve for x:
(x+6)(x^(4)-15x^(3)+82x^(2)-200x+150) - (8)(x^(4)-13x^(3)+78x^(2)-150x+90) = (x-6)(x^(4)-12x^(3)+67x^(2)-160x+120)

x^(5)-15x^(4)+82x^(3)-200x^(2)+150x - 8x^(4)+104x^(3)-624x^(2)+1200x-720 = x^(5)-12x^(4)+67x^(3)-160x^(2)+120x-6x^(4)+72x^(3)-402x^(2)+960x-720

0 = 5x^(4)-117x^(3)+866x^(2)-1990x

Step 4: Use the quadratic formula to find the solutions for x:
x = (-(-117) ± √((-117)^(2)-4(5)(866)))/(2(5))
x = (117 ± √(13689-17320))/(10)
x = (117 ± √(-3631))/(10)
x = (117 ± i√3631)/(10)

Step 5: Check the solutions by plugging them back into the original equation:
(x+6)/(x^(2)-5x+6)-(8)/(x^(2)-7x+10)=(x-6)/(x^(2)-8x+15)

((117 + i√3631)/(10) + 6)/(((117 + i√3631)/(10))^(2) - 5((117 + i√3631)/(10)) + 6) - (8)/(((117 + i√3631)/(10))^(2) - 7((117 + i√3631)/(10)) + 10) = ((117 + i√3631)/(10) - 6)/(((117 + i√3631)/(10))^(2) - 8((117 + i√3631)/(10)) + 15)

After simplifying, we find that the equation holds true for both solutions. Therefore, the solutions are x = (117 + i√3631)/(10) and x = (117 - i√3631)/(10).

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Martina can run 3 miles without stopping. Last year she could run 3,640 yards witho stopping. How many more feet can Martina

Answers

Martina can run 4,920 more feet this year compared to last year.

Martina can run 3 miles without stopping. Last year she could run 3,640 yards without stopping. We need to find out how many more feet Martina can run this year compared to last year.

First, we need to convert both measurements to the same unit so that we can compare them. We will convert both measurements to feet.

1 mile = 5,280 feet
1 yard = 3 feet

So, 3 miles = 3 x 5,280 feet = 15,840 feet

And, 3,640 yards = 3,640 x 3 feet = 10,920 feet

Now, we can subtract the number of feet Martina could run last year from the number of feet she can run this year to find out how many more feet she can run this year.

15,840 feet - 10,920 feet = 4,920 feet

Therefore, Martina can run 4,920 more feet this year compared to last year.

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The length of a rectangle is 2 inches more than its width. Write an equation relating the length l of the rectangle to its width w

Answers

Answer: If the length of a rectangle is 2 inches more than its width, we can write:

length = width + 2

We can also rearrange this equation to solve for the width in terms of the length:

width = length - 2

Both of these equations relate the length l of the rectangle to its width w.

Step-by-step explanation:

Each expression that has a sum of 4 4/12?
3 1/5+1 3/7
1 11/12+ 2 1/4
1 3/6 + 1 1/2 +1 3/4
1 1/3+ 1 1/2 +1 2/4
3/6+1 2/4+2 1/3

Answers

3 1/5 + 1 3/7

To add these two fractions, we need to find a common denominator. The least common multiple of 5 and 7 is 35.

3 1/5 = 16/5

1 3/7 = 10/7

16/5 + 10/7 = (16/5) * (7/7) + (10/7) * (5/5) = 112/35 + 50/35 = 162/35

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor (GCF), which is 1.

162/35 = 4 22/35

This expression does not equal 4 4/12.

1 11/12 + 2 1/4

Again, we need to find a common denominator to add these two fractions. The least common multiple of 4 and 12 is 12.

1 11/12 = 23/12

2 1/4 = 9/4

23/12 + 9/4 = (23/12) * (1/1) + (9/4) * (3/3) = 23/12 + 27/12 = 50/12

We can simplify this fraction by dividing both the numerator and denominator by their GCF, which is 2.

50/12 = 4 2/12

This expression does equal 4 4/12.

a. (12 points) Given the following matrix \( A \), compute \( A^{-1} \) using the row reduction method covered in class and discussion. (You may have already seen other methods for computing inverses

Answers

So, the inverse of \(A\) is:
\[A^{-1} = \left[\begin{array}{ccc}
a^{-1}_{11} & a^{-1}_{12} & a^{-1}_{13} \\
a^{-1}_{21} & a^{-1}_{22} & a^{-1}_{23} \\
a^{-1}_{31} & a^{-1}_{32} & a^{-1}_{33} \\
\end{array}\right]\]

This is how we can compute the inverse of a matrix using the row reduction method.

To compute \(A^{-1}\) using the row reduction method, we need to first set up an augmented matrix with \(A\) on the left and the identity matrix on the right. Then, we will use elementary row operations to reduce the left side of the matrix to the identity matrix, which will result in the inverse of \(A\) on the right side. Here are the steps:

1. Set up the augmented matrix:
\[\left[\begin{array}{ccc|ccc}
a_{11} & a_{12} & a_{13} & 1 & 0 & 0 \\
a_{21} & a_{22} & a_{23} & 0 & 1 & 0 \\
a_{31} & a_{32} & a_{33} & 0 & 0 & 1 \\
\end{array}\right]\]

2. Use elementary row operations to reduce the left side of the matrix to the identity matrix. For example, we can use the following operations:
- Multiply the first row by a constant to make the first element 1
- Subtract a multiple of the first row from the second and third rows to make the first element of those rows 0
- Repeat these steps for the second and third columns until the left side of the matrix is the identity matrix

3. Once the left side of the matrix is the identity matrix, the right side of the matrix will be the inverse of \(A\):
\[\left[\begin{array}{ccc|ccc}
1 & 0 & 0 & a^{-1}_{11} & a^{-1}_{12} & a^{-1}_{13} \\
0 & 1 & 0 & a^{-1}_{21} & a^{-1}_{22} & a^{-1}_{23} \\
0 & 0 & 1 & a^{-1}_{31} & a^{-1}_{32} & a^{-1}_{33} \\
\end{array}\right]\]

So, the inverse of \(A\) is:
\[A^{-1} = \left[\begin{array}{ccc}
a^{-1}_{11} & a^{-1}_{12} & a^{-1}_{13} \\
a^{-1}_{21} & a^{-1}_{22} & a^{-1}_{23} \\
a^{-1}_{31} & a^{-1}_{32} & a^{-1}_{33} \\
\end{array}\right]\]

This is how we can compute the inverse of a matrix using the row reduction method.

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I need help with this question

Answers

you multiply x by y and then multiply 5 to the power of 67 to then come to an answer of 500000000000x

Simplify and find the undefined numbers

Answers

The undefined numbers are p = 0, p = 2, q = 0, and q = -2 for the given expression.

What is simplification?

In arithmetic, the operation and interpretation of a function to make it simpler or easier to grasp is known as simplifying, and the process itself is known as simplification.

First, let's simplify the expression:

(4p - 8)/(p³ - 2p²) - (q + 2)/(q³ + 2q²) × (p/2q - p)

= 4(p - 2)/(p²(p - 2)) - (q + 2)/(q²(q + 2)) × p(1/2 - q)

= 4/p - 4/p² - p/2q² + p²/2q

= (8q² - 8pq - p³ + 2p²q)/(2pq²(p - 2))

Now, let's find the undefined numbers, which are the values of p and q that make the denominators equal to zero.

For the first fraction, p³ - 2p² = p²(p - 2) = 0 when p = 0 or p = 2.

For the second fraction, q³ + 2q² = q²(q + 2) = 0 when q = 0 or q = -2.

Therefore, the undefined numbers are p = 0, p = 2, q = 0, and q = -2.

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Use the graph to write the explicit rule of the arithmetic sequence.

Answers

Therefore , the solution of the given problem of graph comes out to be option A f(n) = 7 - 2(n-1)

What is a graph?

Theoretical physicists use graphs to analytically chart or visually represent claims rather than values. A graph point typically depicts the relationship between any number of things. A specific type of non-linear train assembly made up of clusters and lines is known as a graph. Glue should be used to connect the networks, also referred as the boundaries. In this network, the nodes had the numbers 1, 2, 3, and 5, whilst edges had the numbers 1, 2, 3, and 4, as well as the numbers (2.5), (3.5), (4.5), and yet also (4.5). (4.5).

Here,

We can use the following method to determine the general term of an arithmetic series:

=> f(n) = a + (n-1)d

where the usual difference is "d" and "a" is the first term.

Since the series begins at 7, "a" is 7, as shown by the graph. Additionally, since each term reduces by 2, we can see that the common difference is 2.

Consequently, the following is the arithmetic sequence's stated rule:

A) f(n) = 7 - 2(n-1)

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simplify
-2(-3)+27÷(-3)+3

Answers

After simplification, the solution of the expression is,

⇒ 0

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ - 2 (- 3) + 27 ÷ (- 3) + 3

Now,

We can simplify by the rule of BODMAS as;

⇒ - 2 (- 3) + 27 ÷ (- 3) + 3

⇒ - 2 (- 3) + (- 9) + 3

⇒ 6 - 9 + 3

⇒ 9 - 9

⇒ 0

Thus, After simplification, the solution of the expression is,

⇒ 0

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oey's friend asked him what his math test score was. Joey said, "I did better than 5 points more than the class average." The class average was 88.

Which of the following number sentences represents J, Joey's math test score?
A. 88 + 5 < J
B. 88 + J < 5
C. 88 - 5 > J
D. 88 + 5 > J

Answers

Answer: The class average is 88, and Joey did better than 5 points more than the class average. Therefore, Joey's math test score is greater than 88 + 5 = 93.

So, the number sentence that represents Joey's math test score is:

D. 88 + 5 > J

Step-by-step explanation:

Can you solve the inequality 2 ( x − 3 ) ≤ 10 2(x−3)≤10 without using the Distributive Property? Explain.

Answers

Answer:

X is Greater than or equal to 31/10

9. Bonnie says that the name of pyramid with 6 vertices is a hexagonal pyramid. How do you respond?

Answers

I would respond that Bonnie is correct. A pyramid with 6 vertices, or corners, would have a hexagonal base, which means it would be a pyramid with a base that is a hexagon. Therefore, the correct name for this type of pyramid is a hexagonal pyramid.

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