The table shows two cylindrical-shaped containers that store gelatin. Which statement is true? (Use 3.14 as an approximation of pi.)
A. Container 1 holds approximately 126.7cm^3 more gelatin than container 2
B. Container 1 hold approximately 188.4 cm^3 more gelatin than container 2
C. Container 2 holds approximately 126.7cm^3 more gelatin than Container 1
D. Container 2 holds approximately 188.4cm^3 more gelatin than Container 1.

m a t h w a y. c o m

step-by-step explanation:

∠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.