Triangle DEF is rotated 90° clockwise about the origin. The image of this transformation is triangle LMN, as shown in the figure. Triangle DEF and triangle LMN with ordered pairs at D negative 1 comma 6, at E 1 comma 3, at F 6 comma 3, at L 6 comma 1, at M 3 comma negative 1, at N 3 comma negative 6.

Which statement is true?

Segment DE is congruent to segment MN.
Segment EF is congruent to segment MN.
∠D ≅ ∠M
∠F ≅ ∠L

The graph of a hyperbola is shown. what are the coordinates of a vertex of the hyperbola? (0, −4) (−3, 0) (0, 0) (0, 5)

Unaware that 35% of the 10000 voters in his constituency support him, a politician decides to estimate his political strength. a sample of 200 voters shows that 40% support him. a. what is the population? b. what is the parameter of interest? state its value c. what is the statistics of the interest? state its value d. compare your answers in (b) and (c) is it surprising they are different? if the politician were to sample another 200 voters, which of the two numbers would most likely change? explain

Delbert keeps track of total of the total number of points he earns on homework assignments, each of which is worth 60 points. at the end of the semester he has 810 points. write an equation for delbert’s average homework score a in terms of the number of assignments n.