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:
The value of x is 2.2
x = -50
2x+75=75-2x | Given
2x = -150 - 2x | Subtract 75 from both sides
4x = -150 | Add 2x to both sides
-12(3 - 5)
-12 x 3 + - 5 x -12
-36 + 60 = 24