Mathematics: How can you use similar triangles to describe why the pantograph works as it does?

How can you use similar triangles to describe why

roselyndiaz29

26.10.2020

Option C.

Step-by-step explanation:

Jared has a bag that contains marbles of different colors.

Number of blue marbles = 8

Number of red marbles = 6

Number of green marbles = 10

Total marbles in the bag = 8 + 6 + 10 = 24 marbles

He selects a marble from the bag, replace it and then select a marble again.

The probability that first marble would be green = $\frac{10}{24}$

the probability that another marble would be green = $\frac{10}{24}$

The probability that both marbles would be green

= $\frac{10}{24}$ × $\frac{10}{24}$

= $\frac{5}{12}$ × $\frac{5}{12}$

= $\frac{25}{144}$

The answer would be Option C. $\frac{25}{144}$

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