Respuesta :

Answer: The value of BD will be 50 units.

Step-by-step explanation:

Since we given that

B is the midpoint of AC and D is the midpoint of CE .

and

[tex]BD=3x+5\\\\4x+20=80[/tex]

Now, we will use the second equation, we get

[tex]4x+20=80\\\\4x=80-20\\\\4x=60\\\\x=\frac{60}{4}\\\\x=15[/tex]

So, BD will be

[tex]3x+5\\\\=3(15)+5\\\\=45+5\\\\=50[/tex]

Hence, the value of BD will be 50 units.