c is the midpoint of bc,bc=12, and cd 4x-8 what is the value of x
<<c is the midpoint of bc,bc=12, >>
Are you sure you copied that question correctly? c should be an endpoint of bc. I can see how d might be the midpoint.
To find the value of x, we can use the fact that C is the midpoint of BC. This means that the distance from B to C is the same as the distance from C to D.
Given that BC = 12, we can say that CD = BC (since C is the midpoint). It follows that CD = 12.
Now, we can set up an equation to find the value of x. We are given that CD = 4x - 8.
Setting up the equation:
12 = 4x - 8
To solve for x, we will isolate it on one side of the equation.
Adding 8 to both sides:
12 + 8 = 4x - 8 + 8
20 = 4x
Dividing both sides by 4:
20 / 4 = 4x / 4
5 = x
Therefore, the value of x is 5.