If ED = 10 and DB = 3x -8, what is the length of EB

Answer: According to the picture, the best answer would be 20. It is longer than ED, but shorter than AD and DC.
Step-by-step explanation:
Answer:
Option 2 - 20 unit
Step-by-step explanation:
Given : If ED = 10 and DB = 3x -8
To find : What is the length of EB ?
Solution :
According to the figure,
ED is equal to DB with similar sign.
So, ED=DB
Substitute the values,
[tex]10=3x-8[/tex]
[tex]3x=18[/tex]
[tex]x=\frac{18}{3}[/tex]
Put back,
[tex]DB = 3x -8[/tex]
[tex]DB = 3(\frac{18}{3})-8=10[/tex] unit
Now, length of EB=ED+DB
[tex]EB=10+10[/tex]
[tex]EB=20[/tex] unit
Therefore, option 2 is correct.