Answer:
6 is your answer for x.
Explanation:
EG = 72
F is the midpoint of EG.
Set the equation:
EG = EF + FG
Plug in the corresponding terms to the corresponding variables:
72 = (4x + 3) + (6x + 9)
Combine like terms (terms with the same amount of variables):
72 = (4x + 6x) + (3 + 9)
72 = (10x) + (12)
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, subtract 12 from both sides:
72 = 10x + 12
72 (-12) = 10x + 12 (-12)
72 - 12 = 10x
60 = 10x
Divide 10 from both sides:
(60)/10 = (10x)/10
x = 60/10
x = 6
x = 6 is your answer.
~