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.

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

answer: no, but if it does it's a obvious pattern.

step-by-step explanation:

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