53.20
in order for the data in the table to represent a linear function
with a rate of change of +5, what must be the value of a?
o a = 3
o a = 8
o a = 18
o
a = 33

 a=8

Step-by-step explanation:

The rate of change of function is given by :-

For , linear function, the rate of change of function remains constant.

From, x=3 and x=4, we have

Since , the rate of change k= +5   (given)

Then,

Hence, the value of a is 8.

∠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: the answer is ann