Apackage delivery firm charges according to the
package's weight.

the charge is $1.10 for packages
weighing up to three ounces, inclusive.

for packages
weighing more than 3 ounces and up to ten ounces,
inclusive, the charge is $2.25.

for packages weighing
more than ten ounces and up to fifteen ounces, inclusive,
the charge is $3.35.

for packages weighing more than fifteen ounces, the company has a different price setting.

let c(x) be the cost in dollars according to the package's
weight (x). write a piecewise-defined function that
represents the situation.

see the explanation

Step-by-step explanation:

Let

x ----> the package's weight

C(x) -----> the charge in dollars

we know that

1) For

2) For

3) For

2) For

-----> the company has a different price setting

∠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.

answer: 1722

step-by-step explanation:

given: the mass of saturn=

the mass of mercury=

the number of times the mass of saturn is greater than the mass of mercury

hence, the mass of saturn is 1722 times greater than the mass of mercury.