If EF = 9x + 14, FG = 56, and EG = 250, find the value of x.
so on a straight line marked E then F in the middle and G on the other end.
I am so confused
9 x + 14 + 56 = 250
9 x + 70 = 250
9 x = 180
x = 20
To find the value of x, we can use the information provided.
First, let's consider the given equation EF = 9x + 14. This equation represents the length between points E and F on the line. We are given that EF = 9x + 14.
Next, we are given the lengths FG and EG. FG represents the length between points F and G, which is given as 56. EG represents the length between points E and G, which is given as 250.
We can use the information about the lengths of the line segments to set up equations and solve for x.
Since EF + FG = EG (the sum of the lengths of the line segments must equal the total length of the line), we can set up the equation:
(9x + 14) + 56 = 250
Now we can solve for x:
9x + 14 + 56 = 250
9x + 70 = 250
9x = 250 - 70
9x = 180
x = 180/9
x = 20
Therefore, the value of x is 20.