The vertices of right triangle ABC are A(−1, 2), B(3, 2), and C(3, 7). The triangle is dilated with a scale factor of 2. Estimate the perimeter of the dilated figure to the nearest whole number. The perimeter of the dilated figure is about ( ) units.

You're locked out of your house. the only open window is on the second floor, 25 feet above the ground. there are bushes along the edge of the house, so you will need to place the ladder 10 feet from the house. what length ladder do you need to reach the window?

Set $r$ is a set of rectangles such that (1) only the grid points shown here are used as vertices, (2) all sides are vertical or horizontal and (3) no two rectangles in the set are congruent. if $r$ contains the maximum possible number of rectangles given these conditions, what fraction of the rectangles in set $r$ are squares? express your answer as a common fraction.

The sum of 5consecutive even numbers is 100. what is the first number in this sequence?