Which triangle defined by three points on the coordinate plane is congruent with the triangle illustrated? Explain.

A) (-4, 1)(-4, 6)(-1, 6); because corresponding pairs of angles are congruent.
B) (-8, 2)(-8, 12)(-2, 12); because corresponding pairs of angles are congruent.
C) (-4, 1)(-4, 6)(-1, 6); because corresponding pairs of sides and corresponding pairs of angles are congruent.
D) (-8, 2)(-8, 12)(-2, 12); because corresponding pairs of sides and corresponding pairs of angles are congruent.

G(x) = 2 sin(2x - π) + 4. using complete sentences, explain how to find the minimum value for the function.

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

Arestaurant charges $100 to rent its banquet room for an event. it also charges $15 to serve dinner to each guest. write an equation for the total cost of the banquet room in terms of the number of guests. deine your variables. what is the total cost of the banquet room for 20 guests?