Answer:
D. 20
Step-by-step explanation:
We have been given that ΔUVW is similar to ΔXYZ and we are asked to find the length of ZX.
Since both triangles are similar, so their corresponding sides will be proportional. We will use proportions to solve our given problem as:
[tex]\frac{ZX}{WU}=\frac{XY}{UV}[/tex]
[tex]\frac{ZX}{5}=\frac{12}{3}[/tex]
Now, we will multiply both sides of our equation by 5.
[tex]\frac{ZX}{5}*5=\frac{12}{3}*5[/tex]
[tex]ZX=4*5[/tex]
[tex]ZX=20[/tex]
Therefore, the length of ZX is 20 units and option D is the correct choice.
