Practice: 3. The table shows the attendances y(in thousands) at an amusement park from 2005 to
2014, where x = 0 presents the year 2005.
Year, x
Attendance, y
0
850
1
845
2
828
3
798
4
800
5
792
6
785
7
781
8 9
775 760
The equation of the line of best fit is:
a
Interpolation: Approximate the year with b. Extrapolation: Predict the attendance at
an attendance of 770,000 people.
the amusement park in 2017.

omg that was hard I see that in my module to

∠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.

sounds & other waves originate from any vibrating object