PLEASE ANSWER ASAP
Rico spins the spinner twice and determines the product of the spins. What is the probability that Rico will get a product of 20?

The figure shows a spinner as a circle. The circle is divided into 3 equal parts labeled as 2, 4, and 5. An arrow is shown in the portion labeled as 2.

A.
1
3
B.
1
20
C.
2
9
D.
1
8

2/9 is the correct option.

Step-by-step explanation:

As the spinner is numbered 2, 4 and 5

The general formula for probability :

P(A) = n(A) / n(S)

n(S) is the number of whole states occur in two spins which is 3 × 3 = 9

n(A) is the event that Rico will get a product of 20.

n(A) = 2   ∵ 4 × 5 and 5 × 4 will bring the product 20.

Therefor, the probability that Rico will get a product of 20 when Rico spins the spinner twice will be:

P(A) = n(A) / n(S)

       = 2/9

Therefore, 2/9 is the correct option.

∠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.

here is the

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