Answer:
The value of x is 3.
Step-by-step explanation:
In the given diagram,
Points B lies in the direct line joining A and C,
Such that, AB = 3x, BC = 4x + 6 and AC = 27,
Thus, by Segment addition postulate,
AB + BC = AC
By substitution property,
3x + 4x + 6 = 27
By combining like terms,
7x + 6 = 27
Subtracting 6 on both sides,
7x = 21
By dividing both sides by 7,
x = 3
Hence, the value of x is 3.
