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5 votes
A

X
Find the value of x.
D
X+2
x = [?]
B
3
E
2
C

A X Find the value of x. D X+2 x = [?] B 3 E 2 C-example-1
User Franca
by
7.8k points

1 Answer

1 vote

Answer:

x = 4

Explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.

DE is such a line , then


(BD)/(AD) =
(BE)/(EC) ( substitute values )


(x+2)/(x) =
(3)/(2) ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

User Hassan Mokdad
by
8.7k points

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