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tankabanditka [31]
3 years ago
6

The sum of the least and greatest of 3

Mathematics
2 answers:
ANTONII [103]3 years ago
5 0

Answer:

Step-by-step explanation:

The the 3 consecutive numbers be

X, X + 1, X + 2

: X + X + 2 = 60

2X = 60 - 2

2X = 58

X = 58/2

X = 29

THE NUMBERS ARE 29, 30 AND 31

Tanzania [10]3 years ago
5 0
The three numbers are 29,30,31 because 29+31= 60. I used guess and check because we know that the two numbers have to add up to 60, so for ex: 30+30 is 60 so the other two numbers must be near the same range.
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3 years ago
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the value of k so that the line Containing the points (-8,k) and (-4,-8) is perpendicular) to the line containing the points (10
In-s [12.5K]

Answer:

k= \frac{-34}{3}

Step-by-step explanation:

<u>Step 1 :</u>-

<u>Perpendicular condition :-</u>

<u>Step 1:-</u>

Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

m_{2} = \frac{-1}{m_{1} }

m_{1} m_{2} = -1

<u>Step 2:-</u>

The given points are (-8,k) and (-4,-8)

m_{1} = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

finding slope of the first line is m_{1}

using formula m_{1} = \frac{-8-k}{-4+8}

=  \frac{-8-k}{4}

finding slope of the second line is m_{2}

using formula m_{2} = \frac{--5+11}{5-10}

=  \frac{6}{-5}

<u>Step 3:</u>-

using perpendicular condition

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(\frac{-k-8}{4} )(\frac{-6}{5} )= -1

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6 k+48 =-20

6 k = -20 -48

6 k = -68

\frac{-68}{6}

k= \frac{-34}{3}

<u>Final answer is </u>

k= \frac{-34}{3}

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