Which equation is true for the three pairs of x- and y- values in the table
1. -2+2x=y
2. 2-2x=y
3. 2+2x=y
4. -2+x=y

  1.  -2+2x=y

Step-by-step explanation:

You only need to try the first two lines of the table to determine which equation works.

Only equations 1 and 4 work for the first line of the table (x=0).

Of those, only equation 1 works for the second line of the table (x=1).

The equation that is true for the table values is ...

  -2 +2x = y

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∠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.