Wee-mobile is offering a cell phone family plan for its users. the breakdown of the cost of the plan per month is given below.

subscription fee: $100 (one-time cost)
unlimited data cost: $40 per line per month
unlimited call cost: $10 per line per month
unlimited text message cost: $10 per line per month
cost of phone: $300 per line
the total cost for a 6-month plan for n lines is represented by the expression below.

660n+100

which statement best describes the coefficient of n?

a.
it is the total cost per line for unlimited data, calls, and text messages for 6 months.
b.
it is the total subscription fee for 6 months.
c.
it is the total cost per line for unlimited data, calls, text messages, and one phone for 6 months.
d.
it is total cost of subscription and one phone for 6 months.

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option

∠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.