Hiep is writing a coordinate proof to show that the midsegment of a trapezoid is parallel to its bases. he starts by assigning coordinates as given, where rs is the midsegment of trapezoid klmn .

trapezoid k l m n on the coordinate plane. the vertices of the trapezoid are k begin ordered pair 0 comma 0 end ordered pair, l begin ordered pair 2a comma 0 end ordered pair, m begin ordered pair 2d comma 2c end ordered pair, and n begin ordered pair 2b comma 2c end ordered pair. segment r s is drawn with point r on segment k n and point s on segment l m.

drag and drop the correct answers to complete the proof.

since rs is the midsegment of trapezoid klmn , the coordinates of r are (b,) and the coordinates of s are (, c).

the slope of kl is .

the slope of rs is 0.

the slope of nm is 0.

the slope of each segment is 0; therefore, the midsegment is parallel to the bases.

Given the function f(x) = log base 4(x+8) , find the value of f^-1(2)

The minimum wage in washington has been increasing over the last ten years. years 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 washington state minimum wage $6.50 $6.72 $6.90 $7.01 $7.16 $7.35 $7.63 $7.93 $8.07 $8.55 $8.55 a) find the linear regression equation for the minimum wage in washington using this data ( x  0 in 2000). round to the thousandths. b) what is the slope? specifically, what does the slope represent in the real world context? c) what is the y-intercept? specifically, what does the y-intercept represent in the real world context? d) write your equation as a function of x. e) if you do not earn a college degree and you are earning minimum wage in 2020, what do you predict you will be earning per hour with the linear regression equation? f) if the trend continues, when will the minimum wage be $15 an hour? 3. why are your answers to #1d and #2a above different? which do you think is more accurate (#1 or #2) and why

Find the area of a parallelogram with the given vertices. p(-2, -5), q(9, -5), r(1, 5), s(12, 5)