To ship a package, Company 1 charges $10 for the first pound and 0.45 for each additional pound. Company 2 charges $14 for the first pound and 0.30 for each additional pound. What is the equation for "p", the number of pounds it would take for the cost of the two shipping companies to be the same?

answer is on the bottom

Step-by-step explanation:

Company 1: y=0.45x+10

company 2: y=0.30x+14

To find when they are both the same, put an equal sign and solve:

0.45x+10=0.30x+14

         -10             -10

0.45x=0.30x+4

-0.30x  -0.30x

0.15x=4

divide by 0.15 on both sides and you got ur answer :) happy to  help

∠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.