In triangle abc, the measure of angle b is 90 degrees, bc=16, and ac=20. triangle def is similar to triangle abc, where vertices d, e, and f corresponds to vertices a, b, and c, respectively, and each side of triangle def is 1/3 the length of the corresponding side of triangle abc. what is the value of sinf?
( show your work)

Juliana says that she can use the patterns of equivalent ratios in the multiplication table below to write an infinite number of ratios that are equivalent to 6: 10. which statement explains whether juliana is correct? she is correct because she can multiply 6 and 10 by any number to form an equivalent ratio. she is correct because 6: 10 can be written as 1: 2 and there are an infinite number of ratios for 1: 2. she is not correct because the multiplication table does not include multiples of 10. she is not correct because 6: 10 is equivalent to 3: 5 and there are only 9 ratios in the multiplication table that are equivalent to 3: 5.

Which statement best explains why ben uses the width hi to create the arc at j from point k

If 2(a^2+b^2)=(a+b)^2 then, > a+b=0, > ab=0, > a=b, > 2a=b