Answer:
a. 12.5
Step-by-step 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
X=10 and x=0
Steps:
5x=x^2/2
10x=x^2
x^2-(10x)=0
(x-10)(x+0)=0
Solve for factors
x-10=0
x=10
x+0=0
x=0
