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Llana [10]
3 years ago
7

Which of the following sets of numbers could be the lengths of the sides of a triangle?

Mathematics
1 answer:
Oksanka [162]3 years ago
7 0
B. 3ft, 4ft, 5ft

Pythagoras' Theorem where the square of the two smaller sides added together equals the square of the hypotenuse. If the two smaller sides are 3 and 4 then the hypotenuse is always going to be 5
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Which number can each term of the equation be multiplied by to eliminate the fractions before solving? 6 –3/4x +1/3 =1/2 x + 5
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Answer:

The number is 12.

Step-by-step explanation:

Given: 6-\dfrac{3}{4}x+\dfrac{1}{3}=\dfrac{1}{2}x+5

We need to find a number multiply to each term to get rid of fraction.

We will find LCD of denominator.

First we see the numbers at denominator

Denominators are 4,3,2

Now, we will find the LCD of 2,3, and 4

Factor of 2: 2x1

Factor of 3: 3x1

Factor of 4: 2x2x1

LCD = 2x2x3 = 12

If we multiply by 12 to each term to eliminate the fraction.

Simplest equation:

12\cdot 6-12\cdot \dfrac{3}{4}x+12\cdot \dfrac{1}{3}=12\cdot \dfrac{1}{2}x+12\cdot 5

72-9x+4=6x+60

Hence, The number is 12.

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