Question

4) Find the value of x in the given proportion. 4: x :: 2 : 7
5) Name Sides, angles and vertices in the given figure.​

Answer 1

Step-by-step explanation:

(i) x : 4 = 6 : 8

\Rightarrow x\ \times8=4\times6⇒x ×8=4×6

\Rightarrow x=\frac{4\times6}{8}=3⇒x=

8

4×6

=3

(ii) 14 : x = 7 : 9

\Rightarrow x\times7=14\times9⇒x×7=14×9

\Rightarrow x\ =\frac{14\times9}{7}=18⇒x =

7

14×9

=18

(iii) 4 : 6 = x : 18

\Rightarrow6\times x=4\times18⇒6×x=4×18

\Rightarrow\ x=\frac{4\times18}{6}=12⇒ x=

6

4×18

=12

(iv) 8 : 10 = x : 25

\Rightarrow\ 10\times x=25\times8⇒ 10×x=25×8

\Rightarrow x=\frac{25\times8}{10}=20⇒x=

10

25×8

=20

(v) 5 : 15 = 4 : x

\Rightarrow\ 5\times x=15\times4⇒ 5×x=15×4

\Rightarrow x=\frac{15\times4}{5}=12⇒x=

5

15×4

=12

(vi) 16 : 24 = 6 : x

\Rightarrow\ 16\times x=24\times6⇒ 16×x=24×6

\Rightarrow\ x=\frac{24\times6}{16}=9⇒ x=

16

24×6

=9