Answer:
4)..21 units
5). 15 units
6). 25 units
Step-by-step explanation:
4). Since ΔABC ~ ΔDEF,
Their corresponding sides will be proportional.
[tex]\frac{AB}{DE}= \frac{BC}{EF}= \frac{AC}{DF}[/tex]
Since, [tex]\frac{AB}{DE}=\frac{AC}{DF}[/tex]
[tex]\frac{14}{42}=\frac{7}{x}[/tex]
x = [tex]\frac{42\times 7}{14}[/tex]
x = 21 units
5). Since ΔABC ~ ΔDEF,
[tex]\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}[/tex]
[tex]\frac{AB}{DE}=\frac{BC}{EF}[/tex]
[tex]\frac{6}{9}=\frac{10}{x}[/tex]
x = 15 units
6). Since ΔABC ~ ΔDEF,
[tex]\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}[/tex]
[tex]\frac{BC}{EF}=\frac{AC}{DF}[/tex]
[tex]\frac{6}{30}=\frac{5}{x}[/tex]
x = 25 units
