Ac=5x-8 and CD = 16-3x
I guess C is the midpoint of AD. if so, then
5x-8 = 16-3x
x = 3
Now you can find the lengths.
If not, then you need to provide more details.
To find the value of x, we can equate the two expressions for AC and CD and solve for x.
Given: AC = 5x - 8 and CD = 16 - 3x
Since AC = CD, we can set up the equation:
5x - 8 = 16 - 3x
To solve for x, we want to isolate the x term on one side of the equation.
Add 3x to both sides:
5x - 8 + 3x = 16
Combine like terms:
8x - 8 = 16
Next, we'll get rid of the constant term -8 by adding 8 to both sides:
8x - 8 + 8 = 16 + 8
Simplify:
8x = 24
Finally, to solve for x, we divide both sides by 8:
8x/8 = 24/8
Simplify:
x = 3
Therefore, the value of x is 3.