Answer:
[tex]x=\frac{50}{3}[/tex]
Step-by-step explanation:
Since the figures are similar, the ratio of their corresponding sides are equal. Notice that the side x in the small triangle is corresponding to the side 20 in the big triangle. Also, the side 10 in the smaller triangle is corresponding to the side 12 in the big triangle; therefore: [tex]\frac{x}{20} =\frac{10}{12}[/tex]
- Multiplying 20 to both sides of the equation:
[tex]\frac{x}{20} (20)=\frac{10}{12} (20)[/tex]
[tex]x=\frac{200}{12}[/tex]
- Simplifying the fraction:
[tex]x=\frac{50}{3}[/tex]
We can conclude that the missing denominator in the question is 3.
