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Andreas93 [3]
3 years ago
5

The sum of two rational numbers is always rational? true or false

Mathematics
1 answer:
Kruka [31]3 years ago
8 0

Answer:

True

Step-by-step explanation:

The sum of numbers always terminate and ends.

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Point G is the centroid of triangle ABC. AG = (5x+4) units and GF= (3x-1) units. What is A F?
Vika [28.1K]
<span>Because G is the centroid of the triangle, therefore AG = 2GF
That is, 5x + 4 = 2(3x - 1)
5x + 4 = 6x - 2
4 + 2 = 6x - 5x
6 = x
Therefore AG = 5*6 + 4 = 34
GF = 3*6 - 1 = 17
A.F = AG + GF = 34 + 17 = 51
Answer: 51</span>
6 0
3 years ago
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This is the attached diagram to 5
Ber [7]
The problem statement tells you ∠MLK is 61°, so ∠LMK = 180° -68° -61° = 51°. Since a tangent is always perpendicular to a radius, triangles LJM and LJK are right triangles.

Trigonometry tells you ...
  tangent = opposite / adjacent
so you can write two relations involving LJ.
  tan(51°) = LJ/JM
  tan(68°) = LJ/JK
The second equation can be used to write an expression for LJ that can be substituted into the first equation.
  LJ = JK*tan(68°) = 3*tan(68°)
Substituting, we have
  tan(51°) = 3*tan(68°)/JM
Multiplying by JM/tan(51°), we get
  JM = 3*tan(68°)/tan(51°)
  JM ≈ 6.01

The radius of circle M is about 6.01.

6 0
3 years ago
Three consecutive intergers have a sum of 84. Find the intergers<br><br> ___,___,___,
Fudgin [204]

Answer:

27 + 28 + 29 = 84

Step-by-step explanation:

x + (x+1) + (x+2) = 84

3x + 3 = 84

84 - 3 = 81

81 / 3 = 27

8 0
4 years ago
Ana is 555 years younger than her sister, Beatriz. 1. Write an equation that represents how old Ana is (a) when Beatriz is b yea
White raven [17]

Answer:

1. B-555

2. -532

Step-by-step explanation

1. Since Ana is 555 years younger you would have to find the difference between their ages, since Ana is younger you would subtract her age, B, from her sister's, Beatriz age, who is 555 years older.

2. If Beatriz is 23 and Ana is 555 years younger you just subtract 555 from 23, which is negative 532

5 0
2 years ago
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What single decimal multiplier would<br> you use to increase by 17% followed by<br> a 15% decrease?
Delvig [45]

Answer:

i think 1.17 and 0.85

Step-by-step explanation:

8 0
3 years ago
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