Question

HELP ME POR FAVOR PLEASE PLEASEE

Answer 1

`x=8\frac34\ \,,\quad y=8\frac12`

Explanation:

`\Delta TRS\sim \Delta LJK \quad\implies\quad (|TR|)/(|LJ|)=(|RS|)/(|JK|)=(|ST|)/(|KL|)\\\\(4)/(7)=(5)/(x)=(6)/(y+2)\\\\\\(4)/(7)=(5)/(x)\quad\implies\quad4x=5\cdot7\quad\implies\quad x=\frac{35}4=8\frac34\\\\\\(5)/(x)=(6)/(y+2)\quad\implies\quad 5(y+2)=6\cdot\frac{35}4\\\\5y+10=3\cdot\frac{35}2\\\\5y\ =\ \frac{3\cdot35}2-10\\ /5\qquad\quad /5\\\\y=\frac{3\cdot7}2-2=10\frac12-2=8\frac12`