Answer:
Value of x =20
Step-by-step explanation:
Given: EF = 9x+14 units , FG = 56 units and EG = 250 units.
Segment Addition Postulates states the following for 3 points that are collinear.
i.e, Let three points A, B and C are collinear and B is between A and C.
i,e AC = AB + BC
By Segment addition postulates; solve for x;
EG = EF + FG
Substitute the given values we get;
250 = 9x + 14 + 56
or
250 = 9x + 70
Subtract 70 on both sides we get;
250 -70 = 9x + 70 -70
Simplify:
180 = 9x
Divide both sides by 9 we get;
![\frac{180}{9} = \frac{9x}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B180%7D%7B9%7D%20%3D%20%5Cfrac%7B9x%7D%7B9%7D)
Simplify:
x = 20
Therefore, the value of x =20