Question

Solve for x x= ?? Hlp
pls

Answer 1

x = 2.2

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:

`(AB)/(BC)=(AD)/(DE)\\(10)/(2)=(11)/(x)\\10x=2*11\\10x=22\\x=(22)/(10)\\x=2.2`

The value of x is 2.2