Answer:
627
Step-by-step explanation:
We have to find the sum of the given expression which is:
We start adding from right hand digits
we will first add right most digit of 362 and 265
which is 2+5=7
Now, the previous right most digit from both the numbers which is 6+6=12
Now, since, we are getting a two digit number we will consider right digit from the resultant which is 2 and 1 will be taken as carry to the next two digits that are to be added
Now, we will ad next two digits that are left which is 3+2=5 and 1 carry will be added
Hence,6
Final result is written as in sequence they were added which is 627
Answer:
x = - 7
Step-by-step explanation:
Given the 2 equations
y - x = 9 → (1)
10 + 2x = - 2y → (2)
Rearrange (1) expressing x in terms of y by adding x to both sides
y = x + 9
Substitute y = x + 9 into (2)
10 + 2x = - 2(x + 9) ← distribute
10 + 2x = - 2x - 18 ( add 2x to both sides )
10 + 4x = - 18 ( subtract 10 from both sides )
4x = - 28 ( divide both sides by 4 )
x = - 7
The triangle inside the three squares shows the proof of the Pythagorean Theorem
Area of one triangle is 25 sq units, so one side = 5
Area of second triangle is 144 sq units, so the side = 12
Area of third triangle is 169sq units, so one side = 13
Therefore three side of the triangle are, 5, 12 and 13
proof of the Pythagorean Theorem
Base = 12
Height = 5
Hypotenuse = 13
5^2 + 12^2 = 25 +169 =13^2
The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In the triangle inside the three squares, the hypotenuse is the longest side, which is 13 units long.
The other two sides are 5 units and 12 units long.
We can see that the square with side length 13 has an area of 169 square units.
The square with side length 5 has an area of 25 square units, and the square with side length 12 has an area of 144 square units.
The sum of the areas of the two smaller squares is 25 + 144 = 169 square units.
This is equal to the area of the square with side length 13, which is the hypotenuse of the triangle.
Therefore, the Pythagorean Theorem is proved.
Here is a diagram of the proof:
right triangle inside three squares. The hypotenuse of the triangle is the side of the largest square. The other two sides of the triangle are the sides of the two smaller squares.
The hypotenuse of the triangle is the side of the largest square. The other two sides of the triangle are the sides of the two smaller squares.
Learn more about Pythagorean Theorem here:
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Answer: close
Step-by-step explanation: good job