Question

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Answer 1

Question 1 :-

Given :-

If A : B = 5 : 7 and B : C = 6 : 11 , then A : B : C = _______

Here , ratio means divide means A and B are in fraction or ratio to each other and 5 and 7 too . Also, B and C are in fraction or ratio to each other and 6 and 11 .

So, solving

$\rm\implies \dfrac{a}{b} = \dfrac{5}{7}$

$\rm\implies \dfrac{b}{c} = \dfrac{6}{11}$

So, in the above equation we can clearly state that value of a is 5/7 of b and c is 11/6 of b . Therefore, we write it as :-

$\rm a = \bf \dfrac{5}{7}b$

$\rm c = \bf \dfrac{11}{6}b$

Now , we have got A and C but how to find B ?

So, commonly let's take the L.C.M of the denominators of C and A .

So, as L.C.M can't be done , we need to multiply them . So, there we go

$\rm b \: = 6 \times 7 = \bf42$

 

Now, did you notice that value of a and b was incomplete because see after them b is written that means we have to first we have to find value of b and then multiply them with it so , doing it

$\rm Value \: of \: a = \dfrac{5}{ \cancel{ 7}} \times \cancel{ 42}$

$\rm Value \: of \: a = 5 \times 6 =\bf \: 30$

$\rm Value \: of \: c = \dfrac{11}{ \cancel{ 6}} \times \cancel{ 42}$

$\rm Value \: of \: c = 11 \times 7 =\bf \: 77$

$\rm\therefore \: The \: Ratio\:Given \: is \: A\: : B\: : C. \: So\: , \:the \:ratio \: in\:Numerical \:is \:\bf 30\: : 42 \: : 77 .$

Question 2 :-

The sum of all angles around a point is 360°    

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Question 3 :-

Two angles are said to be Complementary angle if the sum of their measures is 90°.

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Question 4  :-

(-5) + (-8) = (-8) + (-5)

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Question 5 :-

 

-6   >   -70 (>,<)

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