If there are 4 green jelly beans, 2 white jelly beans and 5 purple jelly beans in a jar, What is the probability that you pick a green jelly bean or a white jelly bean? Write your answer as a decimal rounded to the hundredths place.

Step-by-step explanation:

Number of green and white jelly beans

= Number of green + Number of white

= 4 + 2 = 6.

Probability = Number of green and white jelly beans / Total number of jelly beans * 100%

= 6 / (4 + 2 + 5) * 100% = 54.55%.

step-by-step explanation:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.