When proving the pythagorean theorem, we use the given diagram. the area of the large square is equal to the area all four triangles, plus the area of the inscribed square. which mathematical sentence demonstrates this? a) a2 + b2 = 1 2 ab + c2 b) a2 + b2 = 4( 1 2 ab) + c2 c) a2 + 2ab + b2 = 1 2 ab + c2 d) a2 + 2ab + b2 = 4( 1 2 ab) + c2

Write an algebraic expression to match each statement a. four less than 8 times a number b. twice the difference of a number and six c. nine from a number squared

Carly stated, “all pairs of rectangles are dilations.” which pair of rectangles would prove that carly’s statement is incorrect?

On a certain portion of an experiment, a statistical test result yielded a p-value of 0.21. what can you conclude? 2(0.21) = 0.42 < 0.5; the test is not statistically significant. if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 21% of the time, so the test is not statistically significant. 0.21 > 0.05; the test is statistically significant. if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 79% of the time, so the test is not statistically significant. p = 1 - 0.21 = 0.79 > 0.05; the test is statistically significant.