Answer:
x = 2.2
Step-by-step explanation:
From the figure, we see that
Δ ABC
is similar to
Δ ADE
So we can say that the corresponding sides are proportional (ratio is equal).
From the similarity statement, we can say:
AB corresponds to AD
BC corresponds to DE
AB = 10
AD = 10 + 1 = 11
BC = 2
DE = x
Now, we can write ratios and solve:
[tex]\frac{AB}{BC}=\frac{AD}{DE}\\\frac{10}{2}=\frac{11}{x}\\10x=2*11\\10x=22\\x=\frac{22}{10}\\x=2.2[/tex]
The value of x is 2.2
