A certain shade of purple paint is made by mixing blue and red paint. The relationship between the number of quarts of blue paint in the mix, 2, and the
number of quarts of red paint, y, is represented by a graph drawn in the xy-plane.
If the point (5,15) lies on the graph, what does the ordered
pair (5, 15) indicate?
15 quarts of blue paint for every 5 quarts of purple paint
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15 quarts of blue paint for every 5 quarts of red paint
5 quarts of blue paint for every 15 quarts of red paint
5 quarts of blue paint for every 15 quarts of purple paint

the answer to this question is in the pic

∠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.

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