Pictures are in order of questions1. what angle is congruent to ∠b ? 2. what segment is congruent to de? 3. which figure does not appear to be congruent below? 4. what is the length of pt? 5. what is m ∠f?

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.

If wxyz is a square, which statements must be true? plz < 3

An is a number that is written without a component. it is a number that is either or . an exponent is a or a number that another number is being to. the number that is being raised to a is called the . the or power tells you how many times to the base by . if an exponent is fractional then ask yourself the question: what when multiplied by itself a certain number of times will equal the number?