write the polynomial that represents the unknown length
the polynomial is ___

Answer:
[tex] 2x - 5 [/tex]
Step-by-step explanation:
Based on segment addition theorem, we have:
[tex] (4x - 9) - (2x - 4) [/tex]
Apply distributive property to open the parentheses
[tex] 4x - 9 -1*2x -1*-4 [/tex]
[tex] 4x - 9 - 2x + 4 [/tex]
Add like terms
[tex] 2x - 5 [/tex]