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Umnica [9.8K]
2 years ago
6

Can you explain what went wrong and the actual answers these 3

Mathematics
2 answers:
vlada-n [284]2 years ago
7 0
For the first one, they got rid of the 6x when they shouldn’t have, and the correct answer is x = 21.5


For the second one, 47 would be subtracted by 180, not 90, and the correct answer is 133


For the third one, 5x - 10 doesn’t equal 115, 5x - 10 equals 180 - 115, and the correct answer is x = 17
frutty [35]2 years ago
5 0

Answer:

k i am going to tell you what's wrong with all of them, then i will give you the right answer

For the first one they did not combine the variable correctly

the second one needs to use 180, not 90

the third one is not set up like the first one and is supposed to. (115+5x+10=180)

1) 21.5

2) 133

3) 11

Hope this helps!! Have a good day and remember to be tiger fierce!! :)

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Complete the proof for the following conjecture.
Ray Of Light [21]

Answer:

Statements                                                      Reasons

AC+CD=AD and AB+BD=AD         Segment Addition Postulate

AC+CD=AB+BD                            Transitive/Substitution Property

AC=BD                                         Given

BD+CD=AB+BD                            Substitution Property

CD=AB                                         Subtraction Property

AB=CD                                         Symmetric Property

Step-by-step explanation:

By segment addition postulate, we can say the following two equations:

AC+CD=AD and AB+BD=AD.

By either substitution/transitive property, you can say AC+CD=AB+BD.

You are given AC=BD, so we use substitution and write AC+CD=AB+AC.

After using subtraction property (subtracting both sides by AC), you obtain CD=AB.

By symmetric property, you may say AB=CD.

So let's write it into the 2 column-proof you have there:

Statements                                                      Reasons

AC+CD=AD and AB+BD=AD        Segment Addition Postulate

AC+CD=AB+BD                            Transitive/Substitution Property

AC=BD                                          Given

BD+CD=AB+BD                             Substitution Property

CD=AB                                          Subtraction Property

AB=CD                                          Symmetric Property

Properties/Postulates used:

Transitive property which says:

If a=b and b=c, then a=c.

Substitution property which says:

If a=b, then b can be substituted(replaced with) for a.

Subtraction property which says:

a=b implies a-c=b-c.

Segment Addition Postulate says:

If you break a segment into two smaller pieces then the measurement of that segment is equal to the sum of the smaller two segments' measurements.

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