The graph of the function f(x) = (x - 4)(x + 1) is shown
below.
Which statement about the function is true?
6
+
The function is increasing for all real values of x where
x<0.
The function is increasing for all real values of x where
x < -1 and where x > 4.
The function is decreasing for all real values of x where
-1 The function is decreasing for all real values of x where
x < 1.5.
-6
4-
A
6
x
bb

∠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.

answer: b

step-by-step explanation:

113.42

i hope that is right.

step-by-step explanation:

step-by-step explanation: