Answer:
9.75
Step-by-step explanation:
The similarity statement is written in order so you can tell what sides are proportional to each other.
You might be able to tell from the figure but I don't like judging by pictures when I can help it.
So by your statement we know:
[tex]\frac{AB}{AD}=\frac{BC}{DE}=\frac{AC}{AE}[/tex].
We are given measurements for:
AD=10
AB=10+5=15
BC=x
DE=6.5
We don't need the last fraction in the equation:
[tex]\frac{AB}{AD}=\frac{BC}{DE}[/tex]
[tex]\frac{15}{10}=\frac{x}{6.5}[/tex]
Cross multiply:
[tex]6.5(15)=10x[/tex]
Divide both sides by 10:
[tex]\frac{6.5(15)}{10}=x[/tex]
Put into calculator:
[tex]9.75=x[/tex]
[tex]x=9.75[/tex]
