Question

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

Answer 1

The first one is correct.

Answer 2

positive with the reasons

Answer 3

Wait. The first one is an example in your book?

Answer 4

Yea, I took it, so you knew what we had to do

Answer 5

I see. I see that it's called Example 1.

Answer 6

Yea

Answer 7

Ok. Now I am at Try These a.
1. Given is correct.

Answer 8

what about the other 6

Answer 9

2. What is the 10 doing on both sides of the equation? What operation is the 10 involved with?

Answer 10

multiplying the 2 and the 5

Answer 11

If it's multiplying both sides, what property is it?

Answer 12

multiplication property

Answer 13

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.

Answer 14

#3 is Division Property of Equality

Answer 15

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.

Answer 16

Step 4. The distributive property is applied on each side, so 4. is Distributive property.

Answer 17

5. Subtraction property of equality
6. Division Property
7. Reflexive Property

Answer 18

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.

Answer 19

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.

Answer 20

Finally, in step 7. you go from
3x = 27 to
x = 9
by dividing both sides by 3, so
7. Division property of equality

Answer 21

okay thank you and I don't get the 3rd link

Answer 22

In the third link, you need to solve the equation to find out what you are trying to prove.

Answer 23

like how

Answer 24

Then you can go back to the solution, and justify every step with a reason, and fill in the Prove statement at the top.

Answer 25

We'll solve the equation together first.

Answer 26

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

Answer 27

Wait am I doing the same thing like the previous page

Answer 28

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

Answer 29

so basically do the same thing we did before correct

Answer 30

Yes.

Answer 31

that's what it's asking us to do

Answer 32

Yes, you need a two column proof.

Answer 33

it did the first statement for us

Answer 34

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

Answer 35

Now we need to add \( \dfrac{1}{2}x \) to both sides.

2. \(\dfrac{9}{2}x + 9 = 18 \) 2. Addition property of equality

Answer 36

Now we subtract 9 from both sides.

3. \( \dfrac{9}{2}x = 9 \) 3. Subtraction property of equality

Answer 37

Could you leave it as 4.5

Answer 38

Now we multiply both sodes by 2/9

4. \( x = 2 \) 4. Multiplication property of equality

Answer 39

Wait

Answer 40

4. Division Property of Equality, because I divided 9 by 4.5 to get 2

Answer 41

Now that we know the solution is x = 2, we can fill out the line above of what to prove:
Prove: x = 2

Answer 42

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.

Answer 43

so we worked both differently for the last one

Answer 44

That's fine. We are both correct.

Answer 45

Example 2: Was I correct?

Answer 46

Which link is that?

Answer 47

4th link

Answer 48

Ok, I'll look.

Answer 49

My homework goes in order of the links except the first link

Answer 50

For the 4th lionk:
All your answers are correct exept for the last one.

Answer 51

what's c

Answer 52

x + 7 = 10

What do you do to x + 7 to end up with x?

Answer 53

subtraction

Answer 54

Right, so the answer is: Subtraction property of equality?

Answer 55

But it asked for: State the property of equality that justifies the conclusion of the statement

Answer 56

That is it.

Answer 57

I took it like substituting 3 for x

Answer 58

Was I wrong

Answer 59

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.

Answer 60

Yes, you were wrong because there was no substitution done in your problem in Link #4.

Answer 61

Is link 5 right? and I need a little help with link 6

Answer 62

Substitution is a property of equality. It's just not the one that used in that probelm.

Answer 63

Is link 5 right, and I need help with link 6

Answer 64

5a and 5b are correct.
In 5c, you switched the hypothesis and the conclusion.

Answer 65

so switch x^2 = 16 and x = 4

Answer 66

Yes.

In link 6, the hypothesis and conclusion are easy to do like you did in link 4.

Answer 67

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?

Answer 68

A. 2 #'s are odd
B. sum is odd
C. 25 + 99 = 124, so two numbers that are odd, the sum should be even

Answer 69

is my answer correct

Answer 70

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."

Answer 71

Thank you for your help @mathstudent55

Answer 72

You're welcome.

Answer 73

@mathstudent55 Somethings you were wrong though

Answer 74

You were wrong on 4th link on C, it was substitution property