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Cerrena [4.2K]
2 years ago
5

Proportions in similar triangles

Mathematics
1 answer:
Svetradugi [14.3K]2 years ago
4 0

Answer:

x = 4

Step-by-step explanation:

Given that DE is parallel to AC then DE divides the sides proportionally, so

\frac{BD}{DA} = \frac{BE}{EC} , substitute values

\frac{x+2}{x} = \frac{3}{2} ( cross- multiply )

3x = 2(x + 2) ← distribute

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

x = 4

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