Triangle ABC and triangle LMN are similar and have the same orientation. The endpoints of the hypotenuse of triangle ABC are A(2, -2) and C(8, -5). The hypotenuse of triangle LMN is on the same line as the hypotenuse of triangle ABC and is one-third the length of AC. What is the the equation of the line that the hypotenuse of triangle LMN lies on? On the hypotenuse of triangle LMN, if coordinate L is at point (-6, 2), coordinate N is at point ( , )

Tom is making a punch that contains 80% cranberry juice and the rest ginger ale. the punch has 2 liters of ginger ale. part a: write an equation using one variable that can be used to find the total number of liters of cranberry juice and ginger ale in the punch. define the variable used in the equation and solve the equation. hint: 0.8x represents the number of liters of cranberry juice in the punch. (5 points) part b: how many liters of cranberry juice are present in the punch? show your work.

Atransformation t : (x, y) (x-5,y +3) the image of a(2,-1) is

What is the circumference of a circle with an area of 50.24 cm²?