Hello!
Point F is between points E and G
This means that the whole line is segment EG
We can make the equation
EF + FG = EG
Put in the values you know
19x - 13 + 11x = 18x + 20
Combine like terms
30x - 13 = 18x + 20
Subtract 18x from both sides
12x - 13 = 20
Add 13 to both sides
12x = 33
Divide both sides by 12
x = 2.75
Put x into the equation for EG
18(2.75) + 20 = EG
Multiply
49.5 + 20 = EG
Add
69.5 = EG
It says to write it as a mixed number
[tex]69.5 = 69 \frac{1}{2} [/tex]
The answer is [tex]69 \frac{1}{2} [/tex]
Hope this helps!
