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 ( , ).

Determine the difference: 3.2 × 1010 – 1.1 × 1010. write your answer in scientific notation.

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.

Which of the following represents the length of a diagonal of this trapezoid?