Answer:
[tex]CD = BD - BC\\[/tex]
So, let's solve now
[tex]CD = BD - BC\\5x-9 = (7x -10 )-(4x-29)[/tex]
Before solving this we have to know that,
[tex](-)*(-)=(+)\\(+)*(+)=(+)\\(-)*(+)=(-)[/tex]
Now let's solve for x
[tex]CD = BD - BC\\5x-9 = (7x -10 )-(4x-29)\\5x-9=7x-10-4x+29\\5x-9=3x+19\\5x-3x=9+19\\2x=28\\\frac{2x}{2} = \frac{28}{2}\\x = 14[/tex]
[tex]CD = 5x-9\\ = 5*14-9\\=70-9\\=61[/tex]
[tex]BD = 7x-10\\=7*14-10\\=98-10\\=88[/tex]
[tex]BC =4x-29\\=4*14-29\\=56-29\\=27[/tex]
