In the report, the researchers stated that "the research team also hasn't ruled out that a common factor like genetics could be causing both the emotions and the breast cancer." Explain what this sentence means. Choose the correct answer below. A. It is not important to adjust for explanatory variables. B. The researchers may be concerned with confounding that occurs when the effects of two or more explanatory variables are not separated or when there are some explanatory variables that were not considered in a study, but that affect the value of the response variable. C. The researchers thought that genetics had greater influence than level of trauma.

B. The researchers may be concerned with confounding that occurs when the effects of two or more explanatory variables are not separated or when there are some explanatory variables that were not considered in a study, but that affect the value of the response variable.

Explanation:

The main concern of the researchers in this example is that their research might not properly identify a confounding variable that is present in the research. In this example, the researchers appear to be concerned with confounding. A confounding variable is one that influences both the dependent and the independent variable. This can lead to problems such as a spurious association or confounding bias.

∠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.