Over the course of a day you checked 250 total mousetraps and determined that 50 of them were perfectly made. approximately what percentage of the mouse traps you check was perfectly made

20%

Step-by-step explanation:

Given : Over the course of a day you checked 250 total mousetraps and determined that 50 of them were perfectly made.

To Find: what percentage of the mouse traps you check was perfectly made?

Solution:

Total no. of mousetraps =250

Out of 250, 50 were perfectly made.

So, to find percentage of the mouse traps you check was perfectly made:

Hence 20% of the mouse traps you check was perfectly made

∠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.