What is the value of the variable and BC if B is between A and C. AB=4x BC=5x AB=16
To find the value of the variable `x` and the length of segment `BC`, we can use the given information that "B is between A and C" and the lengths of segments AB and BC.
Since B is between A and C, we can assume that the segment BC connects B to C.
Given:
AB = 4x (length of segment AB)
BC = 5x (length of segment BC)
AB = 16 (length of segment AB, given another time)
To solve for the value of `x`, we can set the two expressions of AB equal to each other:
4x = 16
Dividing both sides of the equation by 4, we get:
x = 16/4
Simplifying further:
x = 4
Now that we know the value of `x`, we can substitute it back into the expression for BC:
BC = 5x = 5 * 4 = 20
Therefore, the value of the variable `x` is 4, and the length of segment BC is 20.