Nigel makes the claim that x=6 is the solution to the equation 4(5x−12)−7x=5x. His work to support his claim follows. Given: 4(5x−12)−7x=5x
Step 1: 20x−48−7x=5x
Step 2: 20x−7x−48=5x
Step 3: 13x−48=5x
Step 4: 13x−13x−48=5x−13x
Step 5: 0−48=−8x
Step 6: 6=x

Which of the following justifications can be used to justify and support Nigel's work?

Select all justifications that are correct.

Step 4 is justified by the Symmetric Property.

Step 5 is justified by the Property of Additive Inverses.

Step 6 is justified by the Associative Property.

Step 2 is justified by the Commutative Property.

Step 1 is justified by the Distributive Property.

∠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.

x = 23.78

step-by-step explanation:

agree

step-by-step explanation:

might be the correct answer will be question number 2