The function b(r)=7+4(r−1) represents the number of bricks in row r of a structure. what does the value 7 represent in this situation? answers choices a given row of bricks contains 7 more bricks than the previous row. there are 7 bricks in the first row of the structure. every row contains exactly 7 bricks. the structure contains 7 rows of bricks.

There are 7 bricks in the first row of the structure.

Step-by-step explanation:

Our function is b(r) = 7+4(r-1)

In this function, r is the row number.

If we substitute 1 in for r, we have

b(1) = 7+4(1-1) = 7+4(0) = 7+0 = 7

This corresponds with the 7 at the beginning of the function; this means that the 7 in the function is the number of bricks in the first row.

∠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.