100 !

michelle has $8 and wants to buy a combination of dog food to feed at least two dogs at the animal shelter. a serving of dry food costs $1, and a serving of wet food costs $3.

this system of inequalities models the scenario:

x + 3y ≤ 8

x + y ≥ 2

part a: describe the graph of the system of inequalities, including shading and the types of michelle has $8 and wants to buy a combination of dog food to feed at least two dogs at the animal shelter. a serving of dry food costs $1, and a serving of wet food costs $3.

part b: is the point (8, 2) included in the solution area for the system? justify your answer mathematically.

part c: choose a point in the solution set and interpret what it means in terms of the real-world context.

answer:

step-by-step explanation: so wet food cost 3$ dry food 1$ so give both dog wet and dry

98 points djdjsi zisksis sjsjsi sisksj sksjdj sksks sjsisj

∠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.