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soldier1979 [14.2K]
3 years ago
10

Consider the Matrix shown below:

Mathematics
1 answer:
shepuryov [24]3 years ago
3 0

Answer:

The value of  B_{2,4} - B_{3,2}  is 3 ⇒ 2nd

Step-by-step explanation:

The dimensions of any matrix are (m × n), where

  • m is the number of its row
  • n is the number of its column

Ex: Matrix A of dimensions (2 × 3) has 2 rows and 3 columns, where

A_{1,1} means the element in the 1st row and 1st column

A_{1,2} means the element in the 1st row and 2nd column

A_{1,3} means the element in the 1st row and 3rd column

A_{2,1} means the element in the 2nd row and 1st column

A_{2,2} means the element in the 2nd row and 2nd column

A_{2,3} means the element in the 2nd row and 3rd column

Now lets solve the problem

∵ The matrix B has 3 rows

∴ m = 3

∵ The matrix B has 4 columns

∴ n = 4

∴ The dimensions of matrix B are (3 × 4)

∵ B_{2,4} means the element in the 2nd row and 4th column

∴  B_{2,4} = 9

∵ B_{3,2} means the element in the 3rd row and 2nd column

∴  B_{3,2} = 6

- Find the value of B_{2,4} - B_{3,2}

∵ B_{2,4} - B_{3,2} = 9 - 6

∴ B_{2,4} - B_{3,2} = 3

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mafiozo [28]

Answer:

x = 12

Step-by-step explanation:

The shape ABCDEF is an irregular polygon.  

The sum of the interior angles of any regular or irregular polygon = (n - 2) x 180 (where n is the number of sides of the polygon).  

Therefore, the sum of the interior angles of shape ABCDEF = (6 - 2) x 180 = 720°

So to find the value of x, we need to add together all the interior angles and equal it to 720, then solve for x.

Before we do that, we need to determine angle F.

From inspection, we can see that angle F and 52° are a linear pair.  We know that a linear pair of angles add up to 180°, so F + 52 = 180  ⇒  F = 180 - 52 = 128°

Therefore:

                                           A + B + C + D + E + F = 720

(10x - 5) + 108 + (8x - 3) + (14x - 25) + 133 + 128 = 720

Collect like terms:

10x + 8x + 14x - 5 + 108 - 3 - 25 + 133 + 128 = 720

Combine like terms:

32x + 336 = 720

Subtract 336 from both sides:

32x = 384

Divide both sides by 32:

x = 12

8 0
2 years ago
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Step-by-step explanation:

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