A bag has 7 red marbles and 8 yellow marbles. Half of the yellow marbles are made of plastic. A marble is selected at random from the bag. What is the
probability that it is a yellow, plastic marble?
Write your answer as a fraction in simplest form.

Answer

Step-by-step

Probablity = No. of fav. outcomes

Total no. of outcomes

Total no. of balls = 7+8=15 out of which 4 are of plastics

P of getting yellow plastic balls= 4 Ans

15

∠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.

they are simplified

step-by-step explanation: