Answer:
0, 5, 7
Step-by-step explanation:
You just follow the rule written at the top, if the left column is x, the right column is x/6. For example, if the right column is 0, the left would be 0/6, which is 0.
Given:
Figure of similar triangles.
To find:
The value of x and the measure of NR.
Solution:
In triangle RST and RMN,
(Vertically opposite angles)
(Alternate interior angles)
(By AA property of similarity)
We know that, corresponding sides of similar triangles are proportional.
![\dfrac{RS}{RM}=\dfrac{RT}{RN}](https://tex.z-dn.net/?f=%5Cdfrac%7BRS%7D%7BRM%7D%3D%5Cdfrac%7BRT%7D%7BRN%7D)
![\dfrac{40}{8}=\dfrac{60}{2x-2}](https://tex.z-dn.net/?f=%5Cdfrac%7B40%7D%7B8%7D%3D%5Cdfrac%7B60%7D%7B2x-2%7D)
![5=\dfrac{60}{2x-2}](https://tex.z-dn.net/?f=5%3D%5Cdfrac%7B60%7D%7B2x-2%7D)
![2x-2=\dfrac{60}{5}](https://tex.z-dn.net/?f=2x-2%3D%5Cdfrac%7B60%7D%7B5%7D)
On further simplification, we get
![2x=12+2](https://tex.z-dn.net/?f=2x%3D12%2B2)
![x=\dfrac{14}{2}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B14%7D%7B2%7D)
![x=7](https://tex.z-dn.net/?f=x%3D7)
The value of x is 7.
Now,
![NR=2x-2](https://tex.z-dn.net/?f=NR%3D2x-2)
![NR=2(7)-2](https://tex.z-dn.net/?f=NR%3D2%287%29-2)
![NR=14-2](https://tex.z-dn.net/?f=NR%3D14-2)
![NR=12](https://tex.z-dn.net/?f=NR%3D12)
Therefore, the value of x is 7 and the measure of NR is 12 units.
Answer:
987.
Step-by-step explanation:
The terms in a Fibonacci series are obtained form the sum of the previous 2 terms. So the next number F(16) = 377 + 610 = 987.
Answer:
The first option is correct! :)