5) A theatre can be rented for different hours. The cost is $100 for deposit and $200 per hour. Write a function rule to find the total cost of renting the theatre for 'n' hours. Find the total cost if you rented the theatre for 4 hours. IT : hours (h)

Step-by-step explanation:

Since the cost is $100 for deposit and $200 per hour, the function rule to find the total cost of renting the theatre for 'n' hours will be:

= 100 + 200(n)

= 100 + 200n

The total cost if you rented the theatre for 4 hours will be gotten by replacing n with 4. This will be:

= 100 + 200n

= 100 + 200(4)

= 100 + 800

= $900

∠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.

x=-7

step-by-step explanation:

x+3=-10

-10+3=-7

x=-7