Answer:
The value of x is 4.
Step-by-step explanation:
Given:
Let B be between A and C.
[tex]AB = 3x + 5[/tex]
[tex]BC = 5x - 1[/tex]
[tex]AC = 36[/tex]
To Find:
x=?
Solution:
B be between A and C as shown in Figure
A-B-C such that
[tex]AC=AB+BC[/tex] ...........Line Addition Property
Substituting the given values we get
[tex]36=3x+5+5x-1=8x+4\\\\\therefore 8x=36-4=32\\\\\therefore x=\dfrac{32}{8}=4\\\\\therefore x=4[/tex]
The value of x is 4.
