А N
B
Determine if the two figures are congruent.
O A. Figure A and figure B are congruent, because figure B can be produced by rotating figure A 180° around point N.
0 В. Figure A and figure B are congruent, because figure B can be produced by translating figure A 11 units to the right and
8 units down
O C. Figure A and figure B are congruent, because figure B can be produced by reflecting figure A over line m.
D
Figure A and figure B are not congruent.

In the equation sqrt(n+5)-sqrt(11-10)=1. what is the value of n

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.

Given that δabc is similar to δdef, which is a possible trigonometric ratio for ∠d? a) tan d = 24 30 b) tan d = 30 24 c) tan d = 18 24 d) tan d = 24 18