Mathematics Middle School

Complete the puzzle so that each row, column, and diagonal adds up to the same total.

Answers

Answer 1

Answer:

0 in the middle, minus 4 up centre, minus 3 down right and 2 right centre

Answer 2

Values of the elements in the Matrix are A₂₁ = -2, A₂₂ = 0, A₂₃ = 4, A₃₃ = 5.

What is the matrix?

A collection of numbers lined up in rows and columns to form a rectangular array is called a matrix. The elements, or entries, of the matrix, are the integers. In addition to many other areas of mathematics, matrices have numerous applications in the fields of engineering, physics, economics, and statistics.

given, the sum of each row is equal to the sum of each column equals the sum of all diagonals.

Since, the sum of column C₁ = 3 + -2 + 1 = 2

the sum of Row R₁ = 3 + A₂₁ + 1 = 4 + A₂₁

Since this is equal to the sum of column C₁

thus, 4 + A₂₁ = 2

A₂₁ = -2

the sum of column C₂ = A₂₁ + A₂₂ + 4

C₂ = -2 + A₂₂ + 4

C₂ = A₂₂ + 2

Since this is equal to the sum of column C₁

2 = A₂₂ + 2

A₂₂ = 0

the sum of Row R₂ = -2 + A₂₂ + A₂₃

R₂ = -2 + 0 + A₂₃

Since this is equal to the sum of column C₁

2 = -2 + A₂₃

A₂₃ = 4

the sum of Row R₃ = -1 + 4 + A₃₃

R₃ = -3 + A₃₃

Since this is equal to the sum of column C₁

2 = -3 + A₃₃

A₃₃ = 5

therefore, the values of the matrix's elements are A₂₁ = -2, A₂₂ = 0, A₂₃ = 4, A₃₃ = 5.

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Related Questions

Mr. Thaxton has two daughters. The sum of their ages is twenty-one. The product of their ages is one hundred ten. How old is Mr. Thaxton's youngest daughter?

A.) 9
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C.) 11
D.) 12

Answers

Answer:

the answer is 10

Step-by-step explanation:

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Answer:

B. 10

Step-by-step explanation:

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questions:
1. x < -2 (x = A, B, C, D, E, F, or G)
2. x ≥ -4 (x = A, B, C, D, E, F, or G)
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Answers

Answer:

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Answers

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer: B. 4

4+7=11

Hope this helps :)

Answer:

B. 4

Step-by-step explanation:

So the question is z + 7 = 11 right.

So let us begin, First if you add 3 + 7 that will make 10 which is what we are looking for. Next 4 + 7 will make 11 that is your answer but let us see if there is another same answer. 5 + 7 makes 12 which is close but not the answer. and the last one is 2 + 7 makes 9 which is not even close to the question. So your answer is B. 4 (4 + 7 = 11).

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Answers

Answer:

yes its right

Step-by-step explanation:

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Answers

the last option 4 hours, $60

Answer:

4 hours, for $60

Step-by-step explanation:

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0*50000000000000000000000000000+10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Answers

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The acceleration of segment D is____ m/s2.

Rank segments A, B, and C from least acceleration to greatest acceleration.

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Answers

Answer:

It wont load sorry maeby try putting the question again maeby it will work or is it my end.

Step-by-step explanation:

Answer:

Step-by-step explanation:

a=dv/dt

A=15/1=15

B=5/1=5

C=0/2=0

D=-20/1=-20

So from least to greatest

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Answers

Answer:

8 mph

Step-by-step explanation:

Just divide 40 by five and you’ll get 8, 8 miles per hour

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Answers

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Answers

Answer:

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Answers

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Step-by-step explanation:

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Answers

Answer:

MAD of Set 1 is 13 more than the MAD of Set 2

Step-by-step explanation:

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Answers

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Answer:

Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

5.7 cm

Step-by-step explanation:

Triangle

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Answer:

Your answer is 11.4

Hope that this is helpful. Tap the crown button, Mark my answer as............. BRAINLIST......... Like & Follow me to get more answer.

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Answers

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Answer:

y=1 and x=1

Step-by-step explanation:

they are just variables they don't mean anything because any number multiplied by 1 is that same number

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21 x 1 = 21

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Answers

Answer

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Step-by-step explanation:

Answer:

1 = 104

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Angle 1 is 180 - 57- 19 = 104 from supplementary angles

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Answer:

x=4/7

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Answer:

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Answers

Answer:

2 3 and 4 the only thing that is incorrect is 5

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Answers

Answer:

A student who has many absences has a decrease in grades. As weather gets colder, air conditioning costs decrease. If a train increases speed, the length of time to get to the final point decreases. If a chicken increases in age, the amount of eggs it produces decreases.

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Step-by-step explanation:

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