△EFG∼△LMN. If the scale factor for these figures is 3 and GE=15, what is the measure of NL?
If the scale factor for the two similar triangles is 3, then we can set up a proportion to find the length of NL.
3 = NL/15
Cross multiplying, we get:
3 * 15 = NL
NL = 45
Therefore, the measure of NL is 45.
wrong
Apologies for the error. Let's try to solve it again:
Given that the scale factor is 3 and GE = 15, we can use the scale factor to find the length of LM.
GE corresponds to LM in the similar triangles, so we can set up the proportion:
GE/LM = 3/1
Substitute GE = 15:
15/LM = 3/1
Cross multiply:
3 * LM = 15
LM = 15 / 3
LM = 5
Therefore, the measure of NL is 5.