Question

Oint C is on line segment BD‾\overline{BD} BD . Given BD=5x,BD=5x, BD=5x, BC=4x,BC=4x, BC=4x, and CD=4,CD=4, CD=4, determine the numerical length of BD‾.\overline{BD}. BD .

Answer 1

Answer:

Therefore the required value of $\overline{BD}$ is 20 units.

Step-by-step explanation:

Line Segment: Line segment is a portion of a line whose has two end points.

Given that point C is on the line segment $\overline{BD}$.

$\overline{BD}$ = 5x , $\overline{BC}$ = 4x and $\overline{CD}$ = 4

C is the point of the line segment of $\overline{BD}$.

So we can write

$\overline {BD}= \overline{BC}+\overline{CD}$

Putting the values of $\overline{BD}$, $\overline{BC}$ and $\overline{CD}$

5x=4x+ 4

⇒5x-4x= 4

⇒x=4

So we get the value of x.

To get the value of $\overline{BD}$ , we need to put the value of x in the value of $\overline{BD}$.

Therefore,

$\overline{BD}$ = 5×4

      =20

Therefore the required value of $\overline{BD}$ is 20 units.