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Step-by-step explanation:

She made the -2(6) as a positive 12. it should've been a negative 12 because a negative multiplied by a positive is a negative.

when steph was supposed to use the distributive property in the given problem, -2(x+6) he did -2x+12. -2*x equals -2x so he was correct on that part. -2*6 is -12 therefore that is where he made the mistake.

Step-by-step explanation:

the correct way to solve it would look like this

7(4x-3)= -2(x+6)-1

28x-21= -2x+-12-1

28x-21= -2x+-13

28x= -2x+8

30x=8

x=4/15 or 0.26 with the 6 repeating

picture below

∠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.