please HELP M .A store owner wants to make a candy that sells for $1 per pound. he has 50 lb of sugar candies that cost $1.20 per pound. how many pounds of gummy candies that cost 80 cents per pound should he add.

50 pounds

Step-by-step explanation:

we can use the equation           60+80/100x=1(x+50)

we get 80/100 x because the gummy candies are 80 cents or 80/100x

we get 60 from multiplying 1.20$ x 50 = 60

                                                    solve:

                        60+80/100x  =  x+50

                           60 = x-80/100x+50

                             60-50 = 20/100x

                              10 = 20/100x

                               x= 10 x 100/20 = 10x5= 50 pounds

∠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.