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aksik [14]
3 years ago
8

Find the length of the variable w

Mathematics
1 answer:
miss Akunina [59]3 years ago
6 0

Answer:

w = 3

Step-by-step explanation:

Δ BDE and Δ BAC are similar, then the ratios of corresponding sides are equal, that is

\frac{BD}{BA} = \frac{DE}{AC} , substitute values

\frac{w}{w+2} = \frac{3}{5} ( cross- multiply )

5w = 3(w + 2) ← distribute

5w = 3w + 6 ( subtract 3w from both sides )

2w = 6 ( divide both sides by 2 )

w = 3

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Step-by-step explanation:

There are three possible outcomes in the left spinner, and four possible outcomes in the right spinner.  So there are a total of 3×4=12 possible combinations.  We can show that by making a grid:

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