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iogann1982 [59]
3 years ago
12

Three consecutive integers have a sum of 48 find the integers?

Mathematics
1 answer:
zavuch27 [327]3 years ago
6 0

The sum of three consecutive integers is three times the middle one: if we call the middle one x, the three numbers are

x-1,\ x,\ x+1

So, their sum is x-1+x+x+1 = 3x

Which is three times the middle one.

So, if the sum of three consecutive intergers is 48, the middle one must be 48/3 = 16.

So, the three numbers are 15, 16 and 17

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Julia examines the two triangles below and determines that .
baherus [9]

IN Δ MLN:


∠M = 18.3 , ∠L = 98.6 AND ∠N = 180 - (∠M + ∠L) = 180 - (18.3 + 98.6 ) = 63.1



IN Δ FGH:


∠F = 98.6 , ∠G = 61.1 AND ∠H = 180 - (∠F + ∠G ) = 180 - (98.6 + 61.1 ) = 20.3



∴ ONLY ∠N = ∠F = 98.6


There is no other <span>congruent </span>angles


So, The correct statement is :

Inaccurate. The triangles are not similar because angle M is not congruent to angle H, and angle N is not congruent to angle G.



8 0
3 years ago
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The area of a rectangle is 42 milimeter .The length is 7 milimeters. What is the perimter of rectangel?
Leni [432]

Answer:

6 millimeters

Step-by-step explanation:

A = L × W

A ÷ L = W

42 ÷ 7 = 6

8 0
3 years ago
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intro urna sunt 24 de bile albe si 16 bile negre. se extrage la intamplare o bila . probabilitatea ca bila extrasa sa fie alba e
garri49 [273]

Answer:

\frac{3}{5}

Step-by-step explanation:

Given parameters:

Number of white balls  = 24

Number of black balls  = 16

Unknown:

The probability that white ball is drawn at random = ?

Solution:

The probability of an event is the likelihood of such an event to occur. That an event will occur has a probability of 1, it will not occur have a probability of zero.

In this problem, the total number of outcomes of drawing any ball has sample space of (24 + 16)outcomes  = 40outcomes.

Probability of an event  = \frac{number of successful outcome}{sample space}

                  Pr(white balls) = \frac{24}{40}   = \frac{3}{5}

4 0
3 years ago
5/6 = 1/3+d and x/x is a fraction
Alik [6]

\dfrac{1}{3}+d=\dfrac{5}{6}\qquad|-\dfrac{1}{3}\\\\d=\dfrac{5}{6}-\dfrac{1}{3}\\\\d=\dfrac{5}{6}-\dfrac{1\cdot2}{3\cdot2}\\\\d=\dfrac{5}{6}-\dfrac{2}{6}\\\\d=\dfrac{5-2}{6}\\\\d=\dfrac{3}{6}\\\\d=\dfrac{3:3}{6:3}\\\\\boxed{d=\dfrac{1}{2}}

7 0
3 years ago
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musickatia [10]

Answer:

x = 3  &&  y = - 1

Step-by-step explanation:

Just solving the two equations

the first equation

y = 4/3 x +3

y  - 4/3 x = 3  ..............................................(1)

the second equation

y = -2/3x -3

y + 2/3 x = -3  ..............................................(2)

by substracting 2 from 1

-4/3x - 2/3x = -6

divide by -1

4/3x +2/3x = 6

6/3x = 6

2x = 6

x= 3

then subsititute by value x in any of given eqautions  

8 0
3 years ago
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