a seed company sells two grades of grass seed. And hundred pound bag of a mixture of rye and Bluegrass sells for $255, and a hundred pound bag of Bluegrass sales for $348. How many bags of each are sold in the week when the receipts for 18 bags are $5334?​

8 bags of rye & bluegrass mix

10 bags of bluegrass

Step-by-step explanation:

RB = bags of rye & bluegrass mix

B = bags of bluegrass

348B + 255RB = 5334

RB+B = 18     then RB = 18-B

substitute for RB

348B + 255(18-B) = 5334

348B + 4590 - 255B = 5334

reduce

93B = 744

B = 8

RB = 10

∠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.

27

step-by-step explanation: