Triangle ABC has vertices at A(1, 2), B(4,6), and C(4,2) in the coordinate plane. The triangle will be reflected over the x-axis and then rotated 180°
about the origin to form a A'B'C'. What are the vertices of A'B'C'?

A. A'(1, -2), B'(4, -6), C'(4,-2)

B. A'(-1, -2), B'(-4,-6), C'(-4,-2)

C. A'(-1,2), B'(-4, 6), C'(-4,2)

D. A'(1, 2), B'(4, 6), C'(4,2)

Find the value of tan theta if sin theta = 12/13 and theta is in quadrant 2

2people are trying different phones to see which one has the better talk time. chatlong has an average of 18 hours with a standard deviation of 2 hours and talk-a-lot has an average of 20 hours with a standard deviation of 3. the two people who tested their phones both got 20 hours of use on their phones. for the z-scores i got 1 for the chatlong company and 0 for talk-a-lot. what is the percentile for each z-score?

What is the length of the segment, endpoints of which are intersections of parabolas y=x^2− 11/4 x− 7/4 and y=− 7 /8 x^2+x+ 31/8 ?