22. suppose you place a single bacterium in a bottle at 11: 00 am. it grows and at 11: 01 divides into two bacteria. these two bacteria grow and at 11: 02 divide into four bacteria, which grow and at 11: 03 divide into eight bacteria, and so on . →it's 11: 59 and your fellow bacteria are finally taking your warnings seriously. they quickly start a space program, sending little bacterial spaceships out into the lab in search of new bottles. , they discover three more bottles (making a total of four, including the one already occupied). working quickly, they initiate a mass migration by backing bacteria onto spaceships and sending them to the new bottles. they successfully distribute the population evenly among the four bottles, just in time to avert disaster. given that they now have four bottles rather than just one, how much time have they gained for their civilization?

The surface area of the triangular prism is .

Which question is not a good survey question? a. don't you agree that the financial crisis is essentially over? 63on average, how many hours do you sleep per day? c. what is your opinion of educational funding this year? d. are you happy with the availability of electronic products in your state?

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)