Find the probability of picking a purple marble from a jar with 9 green and 10 purple marbles.

Mathematics

1 answer:

xeze [42]1 year ago

8 0

Answer:

$\sf c) \quad \dfrac{10}{19}$

Step-by-step explanation:

Given information

9 green marbles
10 purple marbles
Total marbles = 10 + 9 = 19

$\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}$

$\implies \textsf{P(purple marble)}= \sf \dfrac{10}{19}$

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Answer:

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Step-by-step explanation:

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kvasek [131]

Since ABCD is a parallelogram, the opposite sides will be parallel and equal,

$\begin{gathered} AB=CD \\ BC=AD \end{gathered}$

Consider that AC acts as a transversal to the parallel lines AB and CD, so we can write,

$\begin{gathered} \angle CAD=\angle ACB\text{ (Alternate Interior Angles)} \\ BC=AD\text{ (Opposite sides of parallelogram)} \\ \angle ADB=\angle CBD\text{ (Alternate Interior Angles)} \end{gathered}$

So by the ASA criteria, the triangle AED is congruent to the triangle CEB,

Then the corresponding parts of the triangles will be equal,