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Tpy6a [65]
4 years ago
11

What are four consecutive odd integers with the sum of 232

Mathematics
1 answer:
zvonat [6]4 years ago
7 0
Four consecutive odd integers, eh? Let x be the first of these odd integers. The next odd integer is thus <span>x+2</span>, and the next is <span>x+4</span>, and the last is <span>x+6</span>. The sum of all four of these is 232, so you have <span><span><span>x+x+2+x+4+x+6=232</span><span>4x+12=232</span></span></span>
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Please help <br><br> Thank you
san4es73 [151]

Answer:

m ∠JPN = 131°    

Step-by-step explanation:

m ∠JPL = m ∠MPK                         Vertical angles are =

7x + 19 = 11x -17                               Substitution  

- 4x =  -36                                      Algebra: Solving for x

   x = 9                                           Algebra: Solving for x

 m ∠JPL = 82°                              Substitution x = 9 into m ∠JPL = 7x +19

m ∠JPL + m ∠LPK = 180°             Definition of linear pair/supplement

                                                     angles = 180°

82° + m ∠LPK = 180°                      Substitution    

            m ∠LPK = 98°                     Algebra

m ∠LPK = m ∠LPN + m ∠NPK        Angle addition Theorem

       PN bisects ∠LPK                     Given    

m ∠LPN = m ∠NPK                          Definition of angle bisector

98 ° = 2 ( m ∠LPN)                           Substitution  

    m ∠LPN = 49°                             Algebra

m ∠JPN = m ∠JPL + m ∠LPN         Angle Addition

 m ∠JPN = 82° + 49°                     Substitution  

m ∠JPN = 131°                                 Addition    

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It would be 4/34 or 2/17.

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3 years ago
Determine the value of r so that the line through (5, 2) and (7, r) has a slope of m= -1/2
vodka [1.7K]
Y = mx + b
slope(m) = -1/2
(5,2)...x = 5 and y = 2
sub and find b
2 = -1/2(5) + b
2 = -5/2 + b
2 + 5/2 = b
4/2 + 5/2 = b
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so ur equation for this line is : y = -1/2x + 9/2

y = -1/2x + 9/2......(7,r)....when x = 7
y = -1/2(7) + 9/2
y = -7/2 + 9/2
y = 2/2
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3 years ago
Select the correct answer.
kap26 [50]

Answer:

The answer to your question is the letter C

Step-by-step explanation:

To answer this question just look at the graph, the solution to the system of the quadratic equation and the linear function, are the points where these function cross.

The first point where these functions cross is Point C

The second point where these functions cross is Point E

5 0
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