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matrenka [14]
4 years ago
13

Solve for x. Enter you answer in the box.

Mathematics
1 answer:
Nikitich [7]4 years ago
8 0

Answer:

x = 6

Step-by-step explanation:

AD is a midline segment and divides EB and EC  in the same proportion, that is

\frac{EA}{AB} = \frac{ED}{DC}

Substituting in values gives

\frac{16}{x+2} = \frac{12}{24} = \frac{1}{2} ( cross- multiply )

5x + 2 = 32 ( subtract 2 from both sides )

5x = 30 ( divide both sides by 5 )

x = 6

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