One 3.8 lb bag of fertilizer covers 1000 square feet each bag cost $9.95 the square feet of the yard is 1307.25 ft squared how many bags are needed to cover the garden?

He'll need approximately 2 bags of fertilizer to cover the whole yard.

Step-by-step explanation:

In order to solve this problem, we can use a rule of three in a way that 3.8 lb of fertilizer is related to 1000 square feet in the same proportion as "x" lb of fertilizer is related to 1307.25 square feet. This is done below:

Since each bag comes at a 3.8 lb package, then he'll need:

He'll need approximately 2 bags of fertilizer to cover the whole yard. Since he can't buy 0.3 bags, we rounded the number to next integer.

2 is the final ! : )

∠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.