Noah wanted to check his solution of x=145 for equation 12(7x−6)=6x−10. Substituting 145 for x, he writes the following: 12(7(145)−6)=6(145)−10

(7(145)−6)=12(145)−20

5(7(145)−6)=5(12(145)−20)

7⋅14−6=12⋅14−20

98−6=168−20

92=148

Is the correct solution x = 14/5?
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Explain why you chose your response in the above question.

How do you know what I wanted

Step-by-step explanation:

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

the 3rd option is right

step-by-step explanation: