For a scientific experiment, a physicist must make sure that the temperature of metal at 0° C gets no colder than -80° C. The physicist changes the metal’s temperature at a steady rate of -4° C per hour. For how long can the physicists change the temperature?

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)

Write 5(6x+4)-2(5x-2) in the form a(bx+c) where a, b and c integers and a> 1