We will determine the lengt of segment BE as follows:
Fomr the information given, the following is true:
[tex]3x-24=x+10\Rightarrow3x-x=10+24[/tex][tex]\Rightarrow2x=34\Rightarrow x=17[/tex]Now, we replace the value of x in the expression that represents segment BE:
[tex]BE=3(17)-24\Rightarrow BE=27[/tex]So, the measure of segment BE is 27 units.