Sam and Ella were running in a race. Sam ran ⅞ of a mile and Ella ran 5/10 of a mile. At the end of the race they wanted to compare how far they ran. Ella said they could compare the fractions by comparing each fraction to ½. Show how Ella could compare 5/10 and ⅞ to ½ . Then explain who ran further and how you know.

ELLA

Step-by-step explanation:

Given that :

Distance covered by Ella = 5/10

Distance covered by Sam = 7/8

Comparing each distance to 1/2

Ella = 5/ 10 = 1/2 ; 1/2 = 1/2 = 0.5

Sam = 7/8 = 0.875 ; comparing with 1/2

0.875 > 0.5

Given

Sam ran farther Than ELLA

Because 0.875 > 1/2

0.875 - 0. 5 = 0.375

∠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.

hello i am doing good for you that it's summer in your country or state ; )

btw in my country we just have sun and rain as (because i live in the caribbean lol)

also, thx a lot for the points : )