what are the values of a and b?
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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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