Question

Segment EC bisects segment AD at C. Find the value of “x," AD = 6x - 4 and AC = 4x - 3, and the measure of CD.

Answer 1

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. $AC=\dfrac{AD}{2}$  

Also it is given that $AD = 6x - 4$ and $AC = 4x - 3.$

then, we have

$4x-3=\dfrac{6x-4}{2}\\\\\Rightarrow\ 4x-3= 3x-2\\\\\Rightarrow\ 4x-3x=-2+3\\\\\Rightarrow\ x= 1$

So, the value of x=1.

Now,  CD = AC = 4(1)-3 =4-3 =1 unit.

Hence, Measure of CD =1 unit.