Lena found a 5/8 -carat diamond ring in the parking lot and turned it in to the police. Afterward, her friends discussed the weight of the diamond in terms of decimal numbers. Lena said it weighed 0.275 carats, but Sheldon thought it was closer to 0.58 carats. Naomi predicted the ring weighed 0.625 carats, but Mark disagreed and said 0.8 carats. Paula went with 0.875 carats. Who had the correct measurement? A.
Lena
B.
Sheldon
C.
Naomi
D.
Mark
E.
Paula

∠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.

30,40,50 is correct answer

85.3-64 = 21.3

so laura has already added 85.3 grams of chocolate powder and she has gone over the amount specified in the recipe by 21.3 grams

hope i ! have a great  day!