9. Suppose a population of 250 crickets doubles in size every 6 months. How many crickets will there be after 2 years?

A. 2,000 crickets
B. 1,000 crickets
C. 6,000 crickets
D. 4,000 crickets

6,000

Step-by-step explanation:

because there are 12 months in a year 12 plus 12 equals 24 so 250 times 124 equals 6,000

∠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.

10 - 8 = -2

  8 - 6 = -2

etc, so -2 is the common difference

step-by-step explanation: