Please help! Consider the two triangles shown on the grid below. Which of these statements are supported by the diagram? Choose all that are correct. *

90° clockwise rotation about the origin followed by a translation of 1 along the y-axis and a dilation of 2 centered at the origin will map Triangle #1 onto Triangle #2.
Triangle #1 is congruent to Triangle #2.
Triangle #1 is similar to Triangle #2.
Triangle #1 is neither similar nor congruent to Triangle #2.
There is no sequence of transformations that will map Triangle #1 exactly onto Triangle #2.
A 90° clockwise rotation about the origin followed by a dilation of 2 centered at the origin will map Triangle #1 onto Triangle #2.

Abaseball team drinks 10/4 gallons of water during a game. which mixed number represents the gallons of water consumed? a) 1 1/2 gallons b) 2 1/2 gallons c) 2 3/4 gallons d) 3 1/2 gallons

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.

30 ! the graph shows the number of siblings different students have. select from the drop-down menus to correctly complete the statement.