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3 years ago

The scale factor to dilate Triangle ABC to Triangle DEF is _.

Mathematics

1 answer:

zaharov [31]3 years ago

3 0

1/2

If ABC ~ DEF then 12/6, 16/8, and 18/9 would equal 2
BUT since we are going from a large triangle to a small triangle, our answer needs to be less then one, making our answer 1/2

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Step-by-step explanation:

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3 years ago

Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 18 Pennies13 Dimes 18 Nickels1

Nezavi [6.7K]

Answer:

$P(Nickel\ and\ Nickel) = 0.08091$

Step-by-step explanation:

Given

$Pennies = 18$

$Dimes = 13$

$Nickels = 18$

$Quarters = 13$

Required

Probability of selecting 2 nickels without replacement

This can be represented as: $P(Nickel\ and\ Nickel)$

The solution is as follows

$P(Nickel\ and\ Nickel) = \frac{Nickel}{Total}*\frac{Nickel-1}{Total-1}$

The second nickel is reduced by 1 because the first nickel was not replaced and this also reduces the total by 1

So, we have:

$P(Nickel\ and\ Nickel) = \frac{18}{62}*\frac{18-1}{62-1}$

$P(Nickel\ and\ Nickel) = \frac{18}{62}*\frac{17}{61}$

$P(Nickel\ and\ Nickel) = \frac{18*17}{62*61}$

$P(Nickel\ and\ Nickel) = \frac{306}{3782}$

$P(Nickel\ and\ Nickel) = 0.08091$

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3 years ago