Nora uses 80 inches of string to make a border for a rectangular painting. She wants the painting to have a width if 15 inches. What will be length?

In trapezoid abcd, ac is a diagonal and ∠abc≅∠acd. find ac if the lengths of the bases bc and ad are 12m and 27m respectively.

If the scale factor between two circles is 2x/5y what is the ratio of their areas?

`if you have a set of parallel lines a and b cut by transversal x, if angle 1 = 167 degrees, what is angle 4 and why. also what is the measure of angle 5 and why? you need to use the names of the angle relationship and explain. ''.