If a number is added to the numerator of 3/7 and the same number is subtracted from the denominator, the result is 4. Let x represent the unknown number. Write an equation in terms of x that represents the given situation. Find the number

The equation is:

The solution is:   x = 5

Step-by-step explanation:

Let's write the statement given in math form using "x" to represent the unknown:

"a number is added to the numerator of 3/7 and the same number is subtracted from the denominator, the result is 4"

This is then the equation that represents the statement, and now for the solution  of the problem: solving for the unknown.

3+x

= 4

7-x

x=5

Step-by-step explanation:

3+x

= 4

7-x

Multiply each side by (7-x)

3+x = 4(7-x)

Distribute

3+x = 28 - 4x

Add 4x to each side

3+x+4x= 28-4x+4x

3 +5x = 28

Subtract 3 from each side

5x = 28-3

5x= 25

Divide by 5

5x/5 = 25/5

x = 5

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.