Ajar contains 75 marbles. 3/5 of the marbles are black. what fraction of the marbles are black, using 75 as the denominator?

black marbles.

Step-by-step explanation:

A jar contains 75 marbles.

of the marbles are black.

We will multiply by 75 to get the number of black marbles.

The number of black marbles = × 75

                                                 = × 15

                                                = 45 marbles

45 marbles are black out of 75 marbles. so we can write black marbles.

∠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.