anonymous
  • anonymous
Please check this. I'd appreciate it. What is the value of x? Justify each step? They want me to name the properties that each step belongs to. (i.e. transitive, symmetric, division property of equality, etc.) AC = 32 I'll draw it in the comments. AB + BC = AC a. Transitive Property 2x + 6x + 8 = 32 b. Addition Property of Equality 8x + 8 = 32 c. Subtraction Property of Equality 8x = 24 d. Division Property x = 3 e. Substitution
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
|dw:1349993792702:dw| Drawing is not to scale.
anonymous
  • anonymous
2nd: 8x+8=32 8x=32-8 8x=24 x=3
anonymous
  • anonymous
you are ok with your work!!

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anonymous
  • anonymous
I know that the steps are correct. However, they wanted me to name the properties that each step belongs to. (i.e. transitive, symmetric, division property of equality, etc.) I know that there are nine properties in total. I just wanted to make sure that I had them with the correct steps.
anonymous
  • anonymous
My main question is if they want the x = 3 step to account for the substitution property of equality or do they want me to write 'proven.'
anonymous
  • anonymous
For x=3. it wouldn't be Substitution. You're not substituting anything, you're simplifying. I'd put simplify.
anonymous
  • anonymous
In parentheses (proven) beside it, just in case
anonymous
  • anonymous
Simplifying isn't one of the properties though. I figured that I would put substitute since I would be substituting 3 as for x.
anonymous
  • anonymous
Okay, I'll do that.
anonymous
  • anonymous
You're not substituting 3 as x though, you just simplified it to get x=3. But yeah!, I'd go with "proven" :)
anonymous
  • anonymous
Okay, I have one more question. Would you mind helping me out with it?
anonymous
  • anonymous
Sure :3
anonymous
  • anonymous
For another problem that deals with this same situation; one of the steps is angle 4 = 110 degrees. I think it's corresponding property might be symmetric. What do you think?
anonymous
  • anonymous
I disagree, symmetric property is if for example a=b, then b=a. If that information is already given to you and you're just listing it, it would be "given", but in order for me to say exactly what the property is I would have to see the rest of the problem.
anonymous
  • anonymous
Okay, just a moment please.
anonymous
  • anonymous
They tell me to complete the two-column proof. (If you want me to draw the diagram let me know.) Given: angle 2 ≅angle 4, angle 2 = 110 degrees Prove: angle 3 = 70 degrees angle 2 ≅angle 4, angle 2 = 110 degrees a. Given angle 4 = 110 degrees b. ________ angle 4 + angle 3 = 180 degrees c.____________ angle 3 = 70 degrees d. ___________
anonymous
  • anonymous
I think that c is the Addition Property of Equality possibly.
anonymous
  • anonymous
Ahhhh can I see a diagram
anonymous
  • anonymous
|dw:1350156185511:dw| Drawing is not to scale.
anonymous
  • anonymous
I believe C is Corresponding Angles
anonymous
  • anonymous
I don't think that that deals with proofs though..
anonymous
  • anonymous
You're in geometry, right?
anonymous
  • anonymous
Yes
anonymous
  • anonymous
Theorems and postulates? Are you familiar with those?
anonymous
  • anonymous
I know about the Pythagorean Theorem for sure. I can't remember that much about postulates right now.
anonymous
  • anonymous
Well, postulates and theorems are used to justify proofs.
anonymous
  • anonymous
Okay

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