There are 5 red marbles and 18 silver marbles in a bag. You randomly choose one of the marbles. What is the probability of choosing a red marble? Write your answer as a fraction in the simplest form. The probability of choosing a red marble is:

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12. A brand of chainsaw requires a gasoline to oil ratio of 30:2. That means you need 30 parts of gas for every 2 parts of oil.

a) How much gasoline would you add to 20 mL of oil?

b) Your gas can holds 10 L. You plan on adding the oil at home, then driving to a gas station to add the gasoline. How much gasoline and how much oil will you need?

Step-by-step explanation:

The probability will be number of Yellows divided by the total number of Marbles

Here there are 3 yellows and 11 marbles in total

The probability is

3/11

∠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.

12

step-by-step explanation:

12 + 5 = 17

12x2=24

24-7=17