Question

Use the Two-Transversal Proportionality Corollary to find the value of x.

6 cm

12 cm

24 cm

25 cm

Answer 1

I hope this helps you




12/12+x=13/13+26



12/12+x=13/39



12/12+x=1/3



12+x=36


x=24

Answer 2

Answer: Third option is correct.

Explanation:

Since we have given that

Length of DE = 13 cm

Length of EF = 26 cm

Length of BC = 12 cm

Length of AB = x cm

Using the Two transversal proportionality Corollary, we get that

`(13)/(13+26)=(12)/(12+x)\\\\(13)/(39)=(12)/(12+x)\\\\(1)/(3)=(12)/(12+x)\\\\12+x=12* 3\\\\12+x=36\\\\x=36-12\\\\x=24\ cm`

Hence, The value of x is equal to 24 cm.

Therefore, Third option is correct.