Which sequences of transformations applied to shape i prove that shape i is similar to shape ii?
a translation 12 units right and 5 units up, and then a dilation by a scale factor of 2
a reflection across the x-axis and then across the y-axis, and then a dilation by a scale factor of 2
a 180° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2
a reflection across the y-axis, and then dilation by a scale factor of 2
a reflection across the x-axis m, and then a dilation by a scale factor of 2

You have 17 cats that live in houses on your street, 24 dogs, 3 fish, and 4 hamsters. what percent of animals on your block are dogs?

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?

The serenity and the mystic are sail boats. the serenity and the mystic start at the same point and travel away from each other in opposite directions. the serenity travels at 16 mph and the mystic travels at 19 mph. how far apart will they be in 3 hours?