In triangle $XYZ$, $\angle X = 60^\circ$ and $\angle Y = 45^\circ$. Point $D$ lies on $\overline{YZ}$ such that $\overline{DX}$ bisects $\angle ZXY.$ If $XD = 24,$ then find the area of triangle $XYZ$.

Using the angle bisector theorem, the area of triangle XYZ works out to 96 + 150*sqrt(2).

arithmetic sequence: a sequnce in which the diffrence between any two consecutive terms is the same

step-by-step explanation:

5x+2x=49

7x=49

x=7. 35 apples