Question

Point G is on line segment
F
H
‾
FH
. Given
G
H
=
8
,
GH=8,
F
H
=
3
x
+
3
,
FH=3x+3, and
F
G
=
2
x
,
FG=2x, determine the numerical length of
F
G
‾
.
FG
.

Answers

  1. The numerical length of the line segment FG is 10 units.

    What is an equation?

    An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
    Point G is on FH, hence:
    FH = FG + GH
    Given that GH = 8, FH = 3x + 3, FG = 2x, hence:
    3x + 3 = (2x) + 8
    x = 5
    FG = 2x = 2(5) = 10
    The numerical length of the line segment FG is 10 units.
    Find out more on equation at: https://brainly.com/question/2972832
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