It takes alisa ten minutes to fill a dozen water balloons. she wants to calculate how long it will take her to fill all the water balloons if each friend at her party gets a dozen balloons. what variable is needed to calculate the time it will take to fill all the balloons? a. s, the number of students in alisa's math class b. d, the amount of time it takes alisa to fill a dozen balloons c. f, the number of friends attending alisa's party d. b, the number of bags of water balloons alisa bought

C. f, the number of friends attending Alisa's party

Step-by-step explanation:

10 minutes/ 12 balloons  = 5/6 minutes per balloon

each friend gets 12 balloons

she needs to know how many friends are coming

∠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.

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.