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yarga [219]
3 years ago
11

What is the value of x?

Mathematics
2 answers:
dybincka [34]3 years ago
8 0

Answer:

x = 5.

Step-by-step explanation:

x / (x + 5) = (x - 2)/(x+ 1)

x(x + 1) = (x - 2)(x + 5)

x^2 + x = x^2 + 3x - 10

x = 3x - 10

-2x = -10

x = 5.

IgorLugansk [536]3 years ago
7 0

Answer:

x is equal to give

Hope am correct

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a square has a side length of x. A rectangle has a length that is 4 inches longer than the square and a width that is 2 inches s
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Answer:

Length of the rectangle is = 8 inches.

Step-by-step explanation:

Given :

Area of square = Area of the rectangle

According to the question:

Length of the square be 'x'.

Its area = (Side)*(Side) =x^2   ...equation (i)

Length of the rectangle = (x+4)

Width of the rectangle = (x-2)

Area of the rectangle =Length * Width

⇒(x+4)(x-2)=x^2-2x+4x-8

⇒x^2+2x-8          ...equation  (ii)

Equating both the equation as area of both the figure are equal.

⇒ x^2+2x-8=x^2

⇒ 2x-8=0     ...subtracting x^2 both sides

⇒ 2x=8           ...dividing both sides with 2

⇒ x=\frac{8}{2}=4 inches

Plugging the value of x=4 in the length of the rectangle.

We have,

⇒(x+4)=(4+4)=8

So the length of the rectangle = 8 inches.

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