There are 14 girls and 12 boys in a class. What is the ratio of girls to students?

1. 14:6
2. 6:7
3. 13:7
4. 7:13

The correct answer is 7:13

Step-by-step explanation:

To find ratio of girls to the students we need to know the total number of students.We ll get the total number of students by adding the number of girls and boys in the class

14 + 12 = 26

So the total number of students is 26.Now we can easily find the ratio of girls to the students

14 : 26

7 : 13

∠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.