Firejay5
  • Firejay5
I am having trouble with my Geometry Homework. We haven't gone over it in class, so we have to learn it by ourselves. I have finished some of it, but not for sure if it's accurate or correct. Medal will be rewarded if answer is correct and accurate and you helped me some. Attachments will be in comment box below
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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mathstudent55
  • mathstudent55
The first one is correct.
Firejay5
  • Firejay5
positive with the reasons

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More answers

mathstudent55
  • mathstudent55
Wait. The first one is an example in your book?
Firejay5
  • Firejay5
Yea, I took it, so you knew what we had to do
mathstudent55
  • mathstudent55
I see. I see that it's called Example 1.
Firejay5
  • Firejay5
Yea
mathstudent55
  • mathstudent55
Ok. Now I am at Try These a. 1. Given is correct.
Firejay5
  • Firejay5
what about the other 6
mathstudent55
  • mathstudent55
2. What is the 10 doing on both sides of the equation? What operation is the 10 involved with?
Firejay5
  • Firejay5
multiplying the 2 and the 5
mathstudent55
  • mathstudent55
If it's multiplying both sides, what property is it?
Firejay5
  • Firejay5
multiplication property
mathstudent55
  • mathstudent55
It's not multiplying the 2 and the 5. It's multiplying the fraction of the left side and the fraction on the right side. Yes, "Multiplication property of equality" is the reason for 2.
Firejay5
  • Firejay5
#3 is Division Property of Equality
mathstudent55
  • mathstudent55
For 3. You are simply dividing the 10 by 2 on the left and the 10 by 5 on the right. This is not a property. It's simply reducing each fraction.
mathstudent55
  • mathstudent55
Step 4. The distributive property is applied on each side, so 4. is Distributive property.
Firejay5
  • Firejay5
5. Subtraction property of equality 6. Division Property 7. Reflexive Property
mathstudent55
  • mathstudent55
In step 5 you go from 5x - 15 = 12 + 2x to 3x - 15 = 12 The 2x was subtracted from both sides, so 5. Subtraction property of equality.
mathstudent55
  • mathstudent55
For 6. You go from 3x - 15 = 12 to 3x = 27 15 was added to both sides to get 3x = 27, so 6. is Addition property of addition.
mathstudent55
  • mathstudent55
Finally, in step 7. you go from 3x = 27 to x = 9 by dividing both sides by 3, so 7. Division property of equality
Firejay5
  • Firejay5
okay thank you and I don't get the 3rd link
mathstudent55
  • mathstudent55
In the third link, you need to solve the equation to find out what you are trying to prove.
Firejay5
  • Firejay5
like how
mathstudent55
  • mathstudent55
Then you can go back to the solution, and justify every step with a reason, and fill in the Prove statement at the top.
mathstudent55
  • mathstudent55
We'll solve the equation together first.
mathstudent55
  • mathstudent55
We can solve the equation with each step accompanied by a reason. This way the proof part will be done. Then we find out what the solution to the equation is, ans we'll fill out the Prove part of the proof on top. Statements Reasons 1. \(4x + 9 = 18 = \dfrac{1}{2}x \) 1. Given
Firejay5
  • Firejay5
Wait am I doing the same thing like the previous page
mathstudent55
  • mathstudent55
We can solve the equation with each step accompanied by a reason. This way the proof part will be done. Then we find out what the solution to the equation is, ans we'll fill out the Prove part of the proof on top. Statements Reasons 1. \(4x + 9 = 18 = \dfrac{1}{2}x \) 1. Given
Firejay5
  • Firejay5
so basically do the same thing we did before correct
mathstudent55
  • mathstudent55
Yes.
Firejay5
  • Firejay5
that's what it's asking us to do
mathstudent55
  • mathstudent55
Yes, you need a two column proof.
Firejay5
  • Firejay5
it did the first statement for us
mathstudent55
  • mathstudent55
Here are the first statement and reason again. I had an extra equal sign above by mistake. Statements Reasons 1. \(4x+9=18 - \dfrac{1}{ 2} x\) 1. Given
mathstudent55
  • mathstudent55
Now we need to add \( \dfrac{1}{2}x \) to both sides. 2. \(\dfrac{9}{2}x + 9 = 18 \) 2. Addition property of equality
mathstudent55
  • mathstudent55
Now we subtract 9 from both sides. 3. \( \dfrac{9}{2}x = 9 \) 3. Subtraction property of equality
Firejay5
  • Firejay5
Could you leave it as 4.5
mathstudent55
  • mathstudent55
Now we multiply both sodes by 2/9 4. \( x = 2 \) 4. Multiplication property of equality
Firejay5
  • Firejay5
Wait
Firejay5
  • Firejay5
4. Division Property of Equality, because I divided 9 by 4.5 to get 2
mathstudent55
  • mathstudent55
Now that we know the solution is x = 2, we can fill out the line above of what to prove: Prove: x = 2
mathstudent55
  • mathstudent55
Yes. If you used 4.5x = 9, then you divide both sides by 4.5 to get x = 2, so for you, Division property is correct.
Firejay5
  • Firejay5
so we worked both differently for the last one
mathstudent55
  • mathstudent55
That's fine. We are both correct.
Firejay5
  • Firejay5
Example 2: Was I correct?
mathstudent55
  • mathstudent55
Which link is that?
Firejay5
  • Firejay5
4th link
mathstudent55
  • mathstudent55
Ok, I'll look.
Firejay5
  • Firejay5
My homework goes in order of the links except the first link
mathstudent55
  • mathstudent55
For the 4th lionk: All your answers are correct exept for the last one.
Firejay5
  • Firejay5
what's c
mathstudent55
  • mathstudent55
x + 7 = 10 What do you do to x + 7 to end up with x?
Firejay5
  • Firejay5
subtraction
mathstudent55
  • mathstudent55
Right, so the answer is: Subtraction property of equality?
Firejay5
  • Firejay5
But it asked for: State the property of equality that justifies the conclusion of the statement
mathstudent55
  • mathstudent55
That is it.
Firejay5
  • Firejay5
I took it like substituting 3 for x
Firejay5
  • Firejay5
Was I wrong
mathstudent55
  • mathstudent55
That is not substitution. This is substitution: Given: x = 2 y + x = 10 Prove: y = 8 1. x = 2 1. Given 2. y + x = 10 2. Given 3. y + 2 = 10 3. Substitution 4. y = 8 4. Subtraction property of equality. What happened from step 2 to step 3? Notice that in step 3, x was substituted by what x is equal to, 2. That is what substitution is.
mathstudent55
  • mathstudent55
Yes, you were wrong because there was no substitution done in your problem in Link #4.
Firejay5
  • Firejay5
Is link 5 right? and I need a little help with link 6
mathstudent55
  • mathstudent55
Substitution is a property of equality. It's just not the one that used in that probelm.
Firejay5
  • Firejay5
Is link 5 right, and I need help with link 6
mathstudent55
  • mathstudent55
5a and 5b are correct. In 5c, you switched the hypothesis and the conclusion.
Firejay5
  • Firejay5
so switch x^2 = 16 and x = 4
mathstudent55
  • mathstudent55
Yes. In link 6, the hypothesis and conclusion are easy to do like you did in link 4.
mathstudent55
  • mathstudent55
a, The part after "if" is the hypothesis. b. The part after "then" is the conclusion. c. Think of any two odd numbers and add them together. Is the sum odd or even?
Firejay5
  • Firejay5
A. 2 #'s are odd B. sum is odd C. 25 + 99 = 124, so two numbers that are odd, the sum should be even
Firejay5
  • Firejay5
is my answer correct
mathstudent55
  • mathstudent55
For a and b you are correct. For c you are on the right track. You need to show one example where the conclusioin is false. You did it by choosing 25 and 99 and showing the sum is 124, an even number. Therfeore, you have shown a counterexample. All you need to do is state, "odd numbers 25 and 99 have a sum of 124, an even number, proving the if-then statement flase."
Firejay5
  • Firejay5
Thank you for your help @mathstudent55
mathstudent55
  • mathstudent55
You're welcome.
Firejay5
  • Firejay5
@mathstudent55 Somethings you were wrong though
Firejay5
  • Firejay5
You were wrong on 4th link on C, it was substitution property

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