Sally has a job selling computers and is given two payment options. Option A pays for her weekly wage of $120 plus $4 for each computer sold. Option B pays her weekly wage of $90 plus $12 for each computer sold. How many computers must she sell to make money with payment Option B?

step by step explanation please.

Make an equation and inequality.

Thanks

about 4

Step-by-step explanation:

set X as the number of computers that Sally sold

Option A :  

she will make 120+4X ($)

Option B :

she will make 90+12X ($)

How many computers must she sell to make money with payment Option B?

120+4X = 90+12X

=> X = 3,75 ( about 4 )

∠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.