Higgins was asked to make a unique three-letter arrangement using only letters from the word home. he can use each letter only once. (his arrangement doesn’t need to be a valid word.)
the probability that higgins forms a three-letter arrangement with vowels as the second and third letters is .
the probability that higgins forms a three-letter arrangement with two consecutive consonants is .

Triangle xyz, with vertices x(-2, 0), y(-2, -1), and z(-5, -2), undergoes a transformation to form triangle x? y? z? , with vertices x? (4, -2), y? (4, -3), and z? (1, -4). the type of transformation that triangle xyz undergoes is a . triangle x? y? z? then undergoes a transformation to form triangle x? y? z? , with vertices x? (4, 2), y? (4, 3), and z? (1, 4). the type of transformation that triangle x? y? z? undergoes is a .