Sequence: 34, 42, 50, 58, 66
Since the difference between consecutive terms is 8, we deduce it is an arithmetic sequence, the recursive formula would be:
![a_n=a_{n-1}+8](https://tex.z-dn.net/?f=a_n%3Da_%7Bn-1%7D%2B8)
Given that the first term is 34 and the common difference is 8, the explicit formula would be:
Answer:
11
Step-by-step explanation:
Triangles HOP and DIP are similar by AA Postulate.
Hence,
![\frac{6}{27} = \frac{ HP}{9} \\ HP = \frac{6 \times 9}{27} = 2 \\ HD = HP + PD = 2 + 9 =11 \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B27%7D%20%20%3D%20%20%5Cfrac%7B%20HP%7D%7B9%7D%20%20%5C%5C%20HP%20%3D%20%20%5Cfrac%7B6%20%5Ctimes%209%7D%7B27%7D%20%20%20%20%3D%202%20%20%5C%5C%20HD%20%3D%20HP%20%2B%20PD%20%3D%202%20%2B%209%20%3D11%20%5C%5C%20)
For lines to be parallel, the slopes have to be the SAME.
For lines to be perpendicular, the slopes have to be the exact opposite. (opposite sign and number)
For example(perpendicular):
slope is 2
the perpendicular slope is -1/2
slope is -4/5
the perpendicular slope is 5/4
12. line a and b are perpendicular
13. Line a: y = 3/5x + 1
Line b: y = 3/5x - 2/5
Line c: y = 4/6 + 5/3x
line a and b are parallel
14. Line a: y = 3x + 6
Line b: y = 6 - 3x
Line c: y = 2/3x + 6
Neither, none of them are parallel or perpendicular
15. Line a: y = -2/3 + 4/3x
Line b: y = -1/4 - 3/4x
Line c: y = 5 + 3/4x
line a and b are perpendicular
So first let’s simplify each term by adding the numbers together. Now we have 10/5 + 9/3. We are still working with each term individually, so next let’s simplify by dividing. 10/5 is 5, and 9/3 is 3, so now we have 5+3 which equals 8. Hope this helps!
Answer:
The angle of EDA is 45 and I believe BE is 19.
Step-by-step explanation: