Point G lies between points F and H on Line segment F H.

A line contains points F, G, H. The space between F and G is 4 x. The space between G and H is 2 x.
If the length of FH is 18 units, what is the value of x?

3
4
6
12

We know that a portion of a line with two endpoints is referred to as a line segment. A line segment, in contrast to a line, has a known length. A line segment's length can be calculated using either metric measurements like millimeters or centimeters, or conventional measurements like feet or inches.

Given that FH is a line segment and FH = 18 units. G is a point on FH such that FG = 4x units and GH = 2x units.

So, we can write

4x + 2x = 18

i.e. 6x = 18

i.e. x = 18/6 = 3

Then, the value of x is 3 units. So, the first option is correct.

Learn more about line segments here -

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Point G lies between points F and H on Line segment F H. A line contains points F, G, H. The space between F and G is 4 x. The space between G and H is 2 x. If the length of FH is 18 units, what is the value of x? 3 4 6 12

Answer :

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Point G lies between points F and H on Line segment F H.

A line contains points F, G, H. The space between F and G is 4 x. The space between G and H is 2 x.
If the length of FH is 18 units, what is the value of x?

3
4
6
12