Answer:
a. 12.5
Explanation:
Scale factor of ∆LMN to ∆XYZ = 2:5
To find length of side ZX, set the ratio of the corresponding sides of interest equal to the scale factor.
Thus:
ZX corresponds to NL = 5
NL:ZX = 2:5
5:ZX = 2:5
5/ZX = 2/5
Cross multiply
5*5 = ZX*2
25 = ZX*2
Divide both sides by 2
25/2 = ZX
12.5 = ZX
ZX = 12.5