If EF= 10x+12, FG=14, and EG= 136, what is the value of x?
To find the value of x, we need to use the given information about the lengths of the segments EF, FG, and EG.
We know that EF = 10x + 12, FG = 14, and EG = 136.
To find x, we need to use the fact that the sum of the lengths of EF and FG must be equal to the length of EG. In other words, EF + FG = EG.
Substituting the given values, we have:
(10x + 12) + 14 = 136
Now, we can solve this equation for x.
10x + 12 + 14 = 136
Combining like terms, we get:
10x + 26 = 136
Next, isolate the variable x:
10x = 136 - 26
10x = 110
Lastly, divide both sides of the equation by 10 to solve for x:
x = 110/10
x = 11
Therefore, the value of x is 11.