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find the value of N in each of the following proportions .
8)18:n =21:28
9)12:16=n:64
pag d nyo rin lng nmn sasagutin, edi p*tAng inA. wag kayong sumagot.​

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Kiarasoriano213viz

Answer:

8. 24

9. 48

Step-by-step explanation:

hope this is right

[tex]\large{\mathbb{\underline{\red{DIRECTION:}}}}[/tex]

[tex]======================[/tex]

Find the value of N in each of the following proportions.

[tex] \: \:[/tex]

[tex] \: \:[/tex]

[tex]\large{\mathbb{\underline{\red{ANSWERS:}}}}[/tex]

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[tex]8) \: 18 : {\boxed{\underline{\green{24}}}} = 21:28 \\ 9) \: 12:16 = {\boxed{\underline{\green{48}}}}:64[/tex]

[tex] \: \:[/tex]

[tex] \: \:[/tex]

[tex]\large{\mathbb{\underline{\red{SOLUTION:}}}}[/tex]

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[tex]8) \: 18 :n = 21: 28 [/tex]

» In this proportion the missing term is a mean. So to find the mean of this proportion we will multiply 18 and 28, and after that we will divide the answer to 21.

  • [tex]\boxed{\begin{array}{c}18 :n = 21: 28 \\ 18 \times 28 = 21n \\ \frac{504}{21} = \frac{ \cancel{21n}}{ \cancel{21}} \\{\boxed{\underline{24 = n}}} \end{array}}[/tex]

[tex] \: \:[/tex]

[tex]9) \: 12 :16 = n : 28 [/tex]

» The missing term is a mean same as in the number 8. So to find the missing mean of this proportion, let's just multiply 21 and 28 and divide the answer we get by 16.

  • [tex]\boxed{\begin{array}{c}12 :16 = n: 64 \\ 12 \times 64 = 16n \\ \frac{768}{16} = \frac{ \cancel{16n}}{ \cancel{16}} \\ {\boxed{\underline{48 = n}}} \end{array}}[/tex]

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