Shawn sells used bicycles. he makes $120 per week plus $10 for each bicycle sold. he wants to earn at least $400 per week. how many bicycles must he sell each week to accomplish this?

*need writing the inequality! *

28 bicycles

Step-by-step explanation:

In one week he will earn $120. This is guaranteed if he goes to work and is therefore the constant.

let x be the number of bicycles sold

P(x) = 10x + 120

400 = 10x + 120

280 = 10x

x = 28

He needs to sell 28 bicycles to earn $400 each week. He needs to sell ≥28 bicycles.

∠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.

8

step-by-step explanation: