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.

Explanation:

Given: Segment EC bisects segment AD at C.

That means , EC divided AD into two equal parts AC and CD,

i.e.
`AC=(AD)/(2)`

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

then, we have

`4x-3=(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.