To construct the midpoint of a segment, fold the paper so that the given line segment lies on itself and

The endpoints of the line segment lie on each other

Explanation

To understand the question, follow the practical steps below

1. Take a sheet of plane paper

2. Label the edges of the top of the paper A and B

3. Fold the paper in such a way that edge A lies on B.

You'll notice the following;

1. The top of the paper lies in itself; hence, we can say that the line segment lies on itself

2. You have a new line at the centre of the paper. The point at the top of this center line is the midpoint of the line segment

3. The edges that lie on each other translates to the endpoints lying on each other.

Number (3) above is the required observation and the right answer.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get