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xenn [34]
3 years ago
15

What is the solution to the inequality 13 x + 3 < 42 ?

Mathematics
1 answer:
zepelin [54]3 years ago
6 0

Answer:

x < -15

Step-by-step explanation:

Here is the solution:

-3x-42 > 3

Add the numbers

-3x > 45

Divide both sides of the inequation by -3 and flip the inequality sign.

x < -15

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A conjecture and the two-column proof used to prove the conjecture are shown.
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Answer: the statements and resons, from the given bench, that fill in the blank are shown in italic and bold in this table:

    Statement                                                        Reason

1. K is the midpoint of segment JL                      Given

2. segment JK ≅ segment KL                             <em>Definition of midpoint</em>

3. <em>L is the midpoint of segment KM</em>                 Given

4. <em>segment KL ≅ segment LM</em>                           Definition of midpoint

5. segment JK ≅ segment LM                           Transitive Property of

                                                                             Congruence


Explanation:


1. First blank: you must indicate the reason of the statement "segment JK ≅ segment KL". Since you it is given that K is the midpoint of segment JL,  the statement follows from the very <em>Definition of midpoint</em>.

2. Second blank: you must add a given statement. The other given statement is <em>segment KL ≅ segment LM</em> .

3. Third blank: you must indicate the statement that corresponds to the definition of midpoint. That is <em>segment KL ≅ segment LM</em> .

4. Fourth and fith blanks: you must indicate the statement and reason necessary to conclude with the proof. Since, you have already proved that segment JK ≅ segment KL and segment KL ≅ segment LM it is by the transitive property of congruence that  segment JK ≅ segment LM.

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Answer:

Answers are given in the attachment

hope it'll help you!

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