An octahedron consists of two square-based pyramids glued together along their square bases to form a polyhedron with eight faces. imagine an ant that begins at the top vertex and walks to one of the four adjacent vertices that he randomly selects and calls vertex a. from vertex a, he will then walk to one of the four adjacent vertices that he randomly selects and calls vertex b. what is the probability that vertex b will be the bottom vertex? express your answer as a common fraction.

On new year's day, the average temperature of a city is 5.7 degrees celsius. but for new year's day 2012, the temperature was 9.8 degrees below the average. i) if a represents the average temperature on new year's day and 7 represents the temperature on new year's day 2012, what formula accurately relates the two values together? ii) what was the temperature on new year's day 2012? dt a 0.8 ii) - 4 1 degrees celsius da-t-98 ii) 59 degrees celsius 1) 7 = -9,8 11) 59 degrees celsius ii) l degrees celsius

A. 127 cm^2 b. 144.5 cm^2 c. 172 cm^2 d. 50 cm^2

Which of these angles are supplementary? a. 100o and 90o b. 78o and 102o c. 54o and 146o d. 12o and 78o