Final answer:
To find the value of x in the equation AC = 6x - 7 and BD = 4x + 2, we can set the expressions for AC and BD equal to each other and solve for x.
Step-by-step explanation:
To find the value of x, we can set the expressions for AC and BD equal to each other:
6x - 7 = 4x + 2
Now, we can solve for x by isolating the variable:
6x - 4x = 2 + 7
2x = 9
x = 9/2
Therefore, the value of x is 9/2 or x = 4.5.