Triangle F G H FGH is formed by connecting the midpoints of the side of triangle C D E CDE. The lengths of the sides of triangle C D E CDE are shown. What is the length of F H ‾ FH ? Figures not necessarily drawn to scale.

(a) what was jennifer's gross pay for the year? (b) how much did she pay in state income tax? (c) the amount in box 4 is incorrect. what dollar amount should have been entered in box 4? (d) the amount in box 6 is incorrect. what dollar amount should have been entered in box 6? (e) how much was jennifer's fica tax? (f) jennifer's taxable income was $32,104. she's filing her taxes as head of household. does she owe the government more in taxes, or will she receive a refund? how much will she owe or receive?

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

In which form is the following function written? y = - 2(x – 3)(x + 5)