While baking a pie Steven needs 3/4 of a cup of flour. He has 2/3 of a cup of flour. How much more flour does he need to borrow for the recipe?

Steven needs 1/12 of a cup of flour in order to bake the pie.

Step-by-step explanation:

you want both fractions to have the same denominator when subtracting. so in order to solve this you would have to multiply 2/3 x 4, and 2/4 x 3. giving you 8/12, and 9/12. Then you would subtract 9 - 8 to get your answer, 1/12.

∠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.