Select the correct answer. Triangle ABC underwent a sequence of transformations to give triangle A′B′C′. Which transformations could not have taken place?

A.

a reflection across the line y = x followed by a reflection across the line y = -x

B.

a reflection across the x-axis followed by a reflection across the y-axis

C.

a rotation 180° clockwise about the origin followed by a reflection across the line y = x

D.

a reflection across the y-axis followed by a reflection across the x-axis

Manuela claims that and are congruent. which statement best describes her claim? she is incorrect because the segments do not have the same orientation. she is incorrect because the segments do not have the same length. she is correct because the segments have the same length. she is correct because the segments have the same orientation.

Find the maximum value of p= 4x + 5y subject to the following constraints :

The federal reserve controls certain interest rates in the united states. investors often try to speculate as to whether the federal reserve will raise or lower rates and by how much. suppose a company conducts extensive interviews with financial analysts, and as a result, predicts that "thefed" will increase rates by an average of 0.25 percentage points every six months for the forseeable future. which type of equation could be used to model the predicted interest rates over the next several years, assuming no other significant changes? a) a linear equation b) a quadratic equation c) a polynomial equation d) an exponential equation