$(6$ points$)$ X$-$rays are used in radiation therapy to treat cancer. These $x-$rays deposit their energy in the tissue by Compton scattering events. Suppose an incident $x-$ray enters the tissue with an energy of $34\mathrm{.}25$ keV $.$ The $x-$ray strikes an electron and scatters at an angle of $75.$ Then, the $x$ ray strikes a second electron and scatters at an angle of $45.$ Finally, the $x-$ray strikes a third electron and scatters at an angle of $15,$ and then leaves the tissue.

What is the total energy deposited in the tissue by these three collisions? Hint: Think about the final energy the $x-$ray has after the three collisions, and compare to the initial energy it had before entering the tissue.