Determine the similarity ratio for each pair of similar solids.
Choice of
k=?
7 out of 4 (fraction),
13 out of 9 (fraction),
2197 out of 243 (fraction)
49 out of 16 (fraction).

a)

b)

Step-by-step explanation:

a) The similarity ratio is given by;

This implies that:

This simplifies to:

Take positive square root:

Therefore the similarity ratio is:

b) This time the size are in volumes: We still use the same approach. But this time:

Take cube root:

The similarity ratio is

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c