Using only a compass and a straightedge, you are constructing a line perpendicular to and passing through a given point, M, on . With a compass of set width, you have drawn arcs that intersect on each side of M and marked the two intersection points as P and Q. The next step in this construction is to place the compass needle on.

Which expression shows the result of applying the distributive property to 9(2+5m) 11 + 14m 18 + 45m 18 + 5m 2 + 45m

Two angles are complementary. the larger angle is 36 more than the smaller angle. what is the measure of the larger angle?

Data from 2005 for various age groups show that for each $100 increase in the median weekly income for whites, the median weekly income of blacks increases by $105. also, for workers of ages 25 to 54 the median weekly income for whites was $676 and for blacks was $527. (a) let w represent the median weekly income for whites and b the median weekly income for blacks, and write the equation of the line that gives b as a linear function of w. b = (b) when the median weekly income for whites is $760, what does the equation in (a) predict for the median weekly income for blacks?