To win a trivia game, Nathan must score at least 75 points. Each correct answer is worth 2 1/2 points, and each incorrect answer is worth -1/4 point. If he gets 35 questions correct and 32 questions incorrect, how many points does he have?

1. a right triangle is graphed on a coordinate plane. find the length of the hypotenuse. round your answer to the nearest tenth. 2. use the angle relationship in the figure below to solve for the value of x. assume that lines a and b are parallel and line c is a transversal.

The value √10 and √15 are plotted on the number line

In right ∆abc shown below, the midpoint of hypotenuse ac is located at d and segment bd is drawn.if ab = 12 and bc = 16, then explain why bd = 10. hint: consider what you know about the diagonals of a rectangle.