Answer:
x = 9.
Explanation:
Given : DE bisects AB at C. If AC =8x-23 and CB=3x+22.
To find : Find X.
Solution : We have given DE bisects AB at C.
Bisector : A point which cut the line in to two equal parts.
A_____C_____B
AC = CB . ( C bisect AB)
Plug the values.
8x - 23 = 3x + 23 .
On subtracting both sides by 3x
8x - 23 - 3x = 22 .
5x - 23 = 22 .
On adding both sides by 23 .
5x = 23 +22 .
5x = 45 .
On dividing both sides by 5 .
x = 9.
Therefore, x = 9.