A small manufacturing company makes $125 $
125
on each stereo sound bar it produces, and $100
$
100
profit on each flat screen TV it makes. Each sound bar and TV must be processed by a cutting machine (A), a fitting machine (B), and a polishing machine (C). Each sound bar must be processed on machine A for one hour, machine B for one hour, and machine C for 4 hours. Each TV must be processed on machine A for 2 hours, machine B for one hour, and on machine C for one hour. Machine A is available for 16 hours, machine B for 9, and machine C for 24 hours.
Using the information in the problem, write the constraints. Let
x
represent the number of sound bars made, and
y
represent the number of TV's.

∠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.

did you get the answer yet?

step-by-step explanation: