In the figure below, find x if segment AB = 12 cm and segment AD = 2x + 6

no figs here - describe

To find the value of x in the given figure, we need to use the information about segment AB and segment AD.

Let's analyze the figure:

A
/ \
/ \
/ \
/ \
/_________\
B D

We know that segment AB has a length of 12 cm:

AB = 12 cm

We are also given that segment AD has a length of 2x + 6:

AD = 2x + 6

To find the value of x, we need to set the lengths of AB and AD equal to each other and solve for x:

AB = AD

12 cm = 2x + 6

Now solve the equation for x:

12 = 2x + 6

Subtract 6 from both sides of the equation:

12 - 6 = 2x

6 = 2x

Finally, divide both sides of the equation by 2 to isolate x:

6/2 = x

x = 3

Therefore, x has a value of 3.