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mr_godi [17]
2 years ago
14

Simplify the expression 64 7/12

Mathematics
2 answers:
VladimirAG [237]2 years ago
8 0
775/12 , is your answer.
Inessa05 [86]2 years ago
4 0

Answer:  The required simplified expression is \dfrac{775}{12}.

Step-by-step explanation:  We are given to simplify the following expression :

E=64\dfrac{7}{12}.

We will be using the following rule of conversion from mixed to improper fractions :

a\dfrac{b}{c}=\dfrac{ac+b}{c}.

So, we get

E\\\\\\=64\dfrac{7}{12}\\\\\\=\dfrac{12\times64+7}{12}\\\\\\=\dfrac{768+7}{12}\\\\\\=\dfrac{775}{12}.

Thus, the required simplified expression is \dfrac{775}{12}.

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Answer:

m∠C = 26°

m∠D = 108°

m∠E = 46°

Step-by-step explanation:

Set up the equation adding the expressions together to equal 180 (sum of all angles in a triangle)

(2x) + (x+3) + (5x-7) = 180

Remove the parentheses

2x + x+ 3 + 5x - 7 = 180

Add like terms

8x - 3 -7 = 8x -4 = 180

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Add 4 on each side to cancel it out on the right

8x - 4 = 180

     +4   = +4

8x = 184

Divide each side by 8 to get the variable by itself

8/8 =1    184/8 = 23

x = 23

Substitute x in eac expression

2x = 2(23) = 46°

x + 3 = 23 + 3 = 26°

5x - 7 = 5(23) - 7 = 115 -7 = 108

Chek it by adding all the degrees to make sure it equals 180

46 + 26 + 108 = 72 + 108 = 180

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