Answers matching "the combined average weight of an okapi and a llama is 450 kilograms. the average weight of 3 llamas is 190 kilograms more than the average weight of one okapi. on average, how much does an okapi weigh, and how much does a llama weigh? "

Let us say that:

x = weight of llamas

y = weight of okapi

From the problem, we can create the equations:

x + y = 450           --> 1

3 x = y + 190        --> 2

Rewriting equation 1:

x = 450 – y

From equation 2:

3 (450 – y) = y + 190

1350 – 3 y = y + 190

4 y = 1160

y = 290

From equation 1:

x = 450 – 290

x = 160

Therefore a llama weighs 160 kilograms while okapi weigh 290 kilograms on average.

typically if you want , you would actually put questions here for us to you. but hey, that's just me. maybe someone will magically answer the questions for you without knowing what they are.

∠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.