If F Is The Midpoint Of Segment EG, Find X.

EF=2X+ 11, FG=53

If F is the midpoint of segment EG then you know that the distance from E to F and the distance from F to G should be equal. Therefore EF = FG. Knowing that you can solve for X by the doing the following:

EF = FG
2X + 11 = 53
2X + 11 - 11= 53 - 11
2X = 42
2X/2 = 42/2
X = 21

0.15623456

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To find the value of x, we can use the concept of midpoint.

The midpoint of a line segment divides the segment into two equal parts. In this case, F is the midpoint of segment EG.

We know that EF and FG are two equal parts of the segment EG. This means that EF is equal to FG.

Using this information, we can set up an equation:

EF = FG

Substituting the given values:

2x + 11 = 53

To solve for x, we need to isolate it on one side of the equation.

First, we subtract 11 from both sides of the equation to move the constant term to the other side:

2x = 53 - 11

2x = 42

Next, we divide both sides of the equation by 2 to isolate x:

x = 42 / 2

x = 21

Therefore, the value of x is 21.