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Inga [223]
3 years ago
10

Rewrite 5/ 16 + 6/ 20 with a common denominator.

Mathematics
2 answers:
Troyanec [42]3 years ago
5 0
25/80 + 24/80 = 49/80. 16 and 20 both go into 80. !6 goes in 5 times so you multiply 5 by 5. 20 goes into 80 4 times so you multiply 4 by 4. 24/80 + 25/80 = 49/80.
Dahasolnce [82]3 years ago
5 0

Answer:

49/80

Step-by-step explanation:

For getting a common denominator, each term must be multiplied in numerator and denominator by the denominator of the other term.

For example:

  • The 5/16 term must be multiplied by 20 (both 5 and 16)
  • The 6/20 term must be multiplied by 16 (both 6 and 20)

The terms would be like this:

(5x20)/(16x20)+(6x16)/(20x16)

The result would be:

100/320+96/320

As common denominator is already obtained, the expression could be one.

(100+96)/320=196/320

Now, the previous expression could be simplified. If we divide the numerator and the denominator by 4, the following result is obtained:

(196/4)/(320/4)=49/80

The expression with common denominator would be: 49/80

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Answer:

∠ 3 = 63°

Step-by-step explanation:

∠ 2 and ∠ 3 are adjacent angles and supplementary, thus

∠ 2 + ∠ 3 = 180°, that is

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2 years ago
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Answer:

Step-by-step explanation:

Function to be graphed is,

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2 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B2%7D-8x%2B16%20%7D%7Bx%5E%7B2%7D-7x%2B12%20%7D" id="TexFormula1" title="\frac
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Answer:

\frac{x - 4}{x - 3}

Step-by-step explanation:

\frac{ {x}^{2} - 8x + 16 }{ {x}^{2}  - 7x + 12}

Lets split the numerator and denominator.

=  >  \frac{ {x}^{2}  - 4x - 4x + 16}{ {x}^{2}  - 3x - 4x + 12}

Lets factorise the numerator and denominator.

=  >  \frac{x(x - 4) - 4(x - 4)}{x(x - 3) - 4(x - 3)}

=  >  \frac{(x - 4)(x - 4)}{(x - 3)(x - 4)}

Cancelling x - 4 from numerator and denominator ,

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Answer:

Step-by-step explanation:

The supplement to ∠1 = 180°-135° = 45° = ∠3, so m is parallel to j and l.

∠2 ≠ 45° and ∠2 ≠ 135°, so k is not parallel to j, l, or m.

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