If F is between E and G, and EF = 8x - 14, FG = 4x -1 and EG =59, then what does x equal?
8x - 14 + 4x - 1 = 59
12 x - 15 = 59
12 x = 74
x = 37/6
If EF=10x+12,FG=14,and EG=136, find the value of x.
To find the value of x, we can use the fact that F is located between E and G. This means that the distances EF and FG, when added together, should be equal to the distance EG.
Given that EF = 8x - 14, FG = 4x - 1, and EG = 59, we can set up the equation:
EF + FG = EG
Substituting the given values:
(8x - 14) + (4x - 1) = 59
Now we can solve for x:
Combine the like terms:
8x + 4x - 14 - 1 = 59
12x - 15 = 59
Add 15 to both sides:
12x = 74
Divide both sides by 12:
x = 6.17
Therefore, x is approximately equal to 6.17.