The budget for a film production includes the following employee pay scales: $15,000 for each technical crew member (e. g. camera, lighting, sound), and $10,000 for each support staff (e. g., drivers, craft services, production assistants). a minimum of 20 employees is needed, but the locations can accommodate a maximum of 50 people. there must be at least 12 technical crew members to shoot the film, and there must be at least half as many crew members as support staff. which combination of employees will minimize the cost, and what is the minimum feasible cost?

∠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.

22 dimes and 9 nickels

step-by-step explanation: