Question

How do I solve this?

Answer 1

`\overline{XS}\cong\overline{YT}\Rightarrow 3m+7=4.2m+5\ \ \ |-7\\\\3m=4.2m-2\ \ \ \ |-4.2m\\\\-1.2m=-2\ \ \ \ |:(-1.2)\\\\m=(2)/(1.2)\\\\m=(20)/(12)\\\\m=(5)/(3)\to m=1(2)/(3)`

`\overline{YS}\cong\overline{XT}\Rightarrow3(1)/(2)r+2=2r+5\ \ \ \ |-2\\\\3(1)/(2)r=2r+3\ \ \ \ |-2r\\\\1(1)/(2)r=3\ \ \ |\cdot2\\\\3r=6\ \ \ \ |:3\\\\r=2`