Answer:
Therefore the required value of [tex]\overline{BD}[/tex] 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 [tex]\overline{BD}[/tex].
[tex]\overline{BD}[/tex] = 5x , [tex]\overline{BC}[/tex] = 4x and [tex]\overline{CD}[/tex] = 4
C is the point of the line segment of [tex]\overline{BD}[/tex].
So we can write
[tex]\overline {BD}= \overline{BC}+\overline{CD}[/tex]
Putting the values of [tex]\overline{BD}[/tex], [tex]\overline{BC}[/tex] and [tex]\overline{CD}[/tex]
5x=4x+ 4
⇒5x-4x= 4
⇒x=4
So we get the value of x.
To get the value of [tex]\overline{BD}[/tex] , we need to put the value of x in the value of [tex]\overline{BD}[/tex].
Therefore,
[tex]\overline{BD}[/tex] = 5×4
=20
Therefore the required value of [tex]\overline{BD}[/tex] is 20 units.
