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In May, there were 14 days where the temperature was above 60°F and 17 days when it was below 60°F There were
also 19 days that were sunny. If a two-way table is made to represent the data, which could be the row and column
headings?
O column: sunny, below 60°F, row. not sunny, above 60°F
O column: above 60°F, below 60°F, row: sunny, not sunny
O column: above 60°F, sunny, row: below 60°F, not sunny
O column: sunny, month; row: not sunny, month
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A two-way table is such that has two categorical variables and as such, the data are presented in rows and columns.

The correct row and column headings for the given dataset are:

Column: above 60°F, below 60°F, Row: sunny, not sunny

Given that:

The two-way table would have the following representations;

The following representations are also possible

Base on the above representations, we can conclude that options (b) is true

Read more about two-way tables at:

∠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.