Write each of 9 numbers in each of the squares so that the sum of each line is 15. The sum of each diagonals should also be 15. The numbers are 1,2,3,4,5,6,7,8,9

Step-by-step explanation:

The diagram for this has been attached to this response.

As shown in the diagram, for every and any given row or column, the sum of the numbers that make up such is 15. Also, the sum of numbers in the diagonals adds up to 15. For example:

Row 1 contains numbers 8, 1 and 6. The sum of these numbers is 8 + 1 + 6 = 15

Row 2 contains numbers 3, 5 and 7. The sum of these numbers is 3 + 5 + 7 = 15

Column 3 contains numbers 6, 7 and 2. The sum of these numbers is 6 + 7 + 2 = 15

Diagonal 1 contains numbers 8, 5 and 2. The sum of these numbers is 8 + 5 + 2 = 15

In essence, the numbers 1 through 9 have been logically placed in the squares such that a magic square (a square that has the sum of elements in each of its rows and columns and diagonals being equal) has been formed.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9