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nata0808 [166]
4 years ago
5

On Monday Carlos ran 1/8 of a mile on Wednesday he ran 5/6 of a mile Carlos ran 3/8 of a mile on Friday Which day did Carlos run

the farthest
Mathematics
1 answer:
pishuonlain [190]4 years ago
6 0
1/8  5/6  3/8
Make sure that in order to compare and rank them from least to greatest, you ned to first see that the denominator is the same.

1/8=3/24  5/6=20/24  3/8=9/24
1/8<3/8<5/6

Therefore, 5/6 is the greatest and also the farthest that Carlos ran.
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1 year ago
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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