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  • 11-03-2022
  • Mathematics
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what are the values of a and b?​

what are the values of a and b class=

Respuesta :

Аноним Аноним
  • 11-03-2022

Answer:

A

[tex]\boxed{a=\frac{9}{2}}}[/tex]

[tex]\boxed{b=\frac{15}{2}}[/tex]

Step-by-step explanation:

By ratio and proportion

Let's solve for "a" first:-

[tex]\cfrac{a}{6} =\cfrac{6}{8}[/tex]

[tex]8a=36[/tex]

[tex]\cfrac{8a}{8}=\cfrac{36}{8}[/tex]

[tex]\boxed{a=\frac{9}{2}}}[/tex]

Now, Let's solve for "b":-

[tex]\cfrac{b}{6} =\cfrac{10}{8}[/tex]

[tex]8b=60[/tex]

[tex]\cfrac{8b}{8}=\cfrac{60}{8}[/tex]

[tex]\boxed{b=\frac{15}{2}}[/tex]

Therefore, your answer is A!!!!

~

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