The value of AB that is 5x is equal to 30.
It is given that the points A, B and C are collinear. Collinear points may be defined as three or more points which lie on a straight line.
Here B lies between A and C and the three points A, B and C are collinear. Thus, according to property of collinear points:
AB+BC=AC
Now, according to question AB=5x, BC= 4x+12 and AC= 10x+6.
So, 5x+4x+12=10x+6
Taking the like terms on one side;
12-6 = 10x+9x
=> x=6
Now, AB=5x, thus AB= 5×5=30
Therefore, the value of AB is 30.
Learn more about question at:
brainly.com/question/14240601
#SPJ1
Complete question:
Three points A, B and C are collinear. Point B is between points A and C. AC=10x+6, AB=5x, and BC=4x+12, Find AB.
