A chemical company sells a specialized industrial lubricant in 20 liter containers. A random sample of the latest production lot shows the contents of 10 containers to be 20.3, 19.91, 19.98, 19.69, 19.54, 20.51, 20.36, 20.46, 19.68, and 20.56 liters. Find the standard deviation of the sampled containers’ contents. A. σ=0.42
B. σ=0.36
C. σ=0.53
D. σ=0.55

∠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.

i know the point slope is y= 1/11x-46/11

i have no clue i hate math i just need the points to get my answers