What series of transformations from △abc to △def shows that △abc≅△def ?
a . a reflection across the y-axis followed by a translation of 1 unit right and 2 units up
b . a clockwise rotation of 90° about the origin followed by a translation of 4 units right and 4 units up
c. a reflection across the x-axis followed by a translation of 1 unit right and 1 unit down
d . a reflection across the line y = x followed by a positive rotation of 270° about the center

On a piece of paper graph f(x)=5•(0.4)^x

The swimming pool is open when the high temperature is higher than 20∘c. lainey tried to swim on monday and thursday (which was 3 days later). the pool was open on monday, but it was closed on thursday. the high temperature was 30∘c on monday, but decreased at a constant rate in the next 3 days. write an inequality to determine the rate of temperature decrease in degrees celsius per day, d, from monday to thursday.

The cross-sectional areas of a right triangular prism and a right cylinder are congruent. the right triangular prism has a height of 6 units, and the right cylinder has a height of 6 units. which conclusion can be made from the given information? the volume of the triangular prism is half the volume of the cylinder. the volume of the triangular prism is twice the volume of the cylinder. the volume of the triangular prism is equal to the volume of the cylinder. the volume of the triangular prism is not equal to the volume of the cylinder.