Answer: The value of x=1.
Measure of CD =1 unit.
Step-by-step explanation:
Given: Segment EC bisects segment AD at C.
That means , EC divided AD into two equal parts AC and CD,
i.e. [tex]AC=\dfrac{AD}{2}[/tex]
Also it is given that [tex]AD = 6x - 4[/tex] and [tex]AC = 4x - 3.[/tex]
then, we have
[tex]4x-3=\dfrac{6x-4}{2}\\\\\Rightarrow\ 4x-3= 3x-2\\\\\Rightarrow\ 4x-3x=-2+3\\\\\Rightarrow\ x= 1[/tex]
So, the value of x=1.
Now, CD = AC = 4(1)-3 =4-3 =1 unit.
Hence, Measure of CD =1 unit.
