Answer:
huh?
Step-by-step explanation:
Answer: Using alternate interior angles between parallels lines cut by a transversal, the transversal is p.
Option D. p
Solution:
The angles 10 and 16 must be in two different parallel lines, then the parallel lines must be m and o.
The angle 10 and 16 are between the parallel lines m and o, and they must be in different side of the transversal because they are alternate, then the transversal must be the line p.
Triangles ABC and MNO are similar:
1.) same shape-different size
2.) corresponding angles are equal-both triangles are isosceles triangles.
3.) corresponding sides are in the same ratio 12/7.5=8/5=1.6
Answer:
Sum of the first five terms of the geometric sequence in which a1=5 and r=1/5 is ![\mathbf{S_n=\frac{781}{125} }](https://tex.z-dn.net/?f=%5Cmathbf%7BS_n%3D%5Cfrac%7B781%7D%7B125%7D%20%7D)
Step-by-step explanation:
We need to find sum of the first five terms of the geometric sequence in which a1=5 and r=1/5
The formula used to find sum of the geometric sequence is: ![S_n=\frac{a(r^n-1)}{r-1}](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Ba%28r%5En-1%29%7D%7Br-1%7D)
Where a is the first term, r is the common ratio and n is the number of terms
Now finding sum of the first five terms of the geometric sequence
We have a=5, r=1/5 and n=5
Putting values in the formula:
![S_n=\frac{a(r^n-1)}{r-1}\\S_n=\frac{5((\frac{1}{5}) ^5-1)}{\frac{1}{5}-1}\\S_n=\frac{5(\frac{1}{3125}-1)}{\frac{1-5}{5}}\\S_n=\frac{5(\frac{1-3125}{3125})}{\frac{-4}{5}}\\S_n=\frac{5(\frac{-3124}{3125})}{\frac{-4}{5}}\\S_n=5(\frac{-3124}{3125})}\times{\frac{-5}{4}}\\S_n=\frac{781}{125}](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Ba%28r%5En-1%29%7D%7Br-1%7D%5C%5CS_n%3D%5Cfrac%7B5%28%28%5Cfrac%7B1%7D%7B5%7D%29%20%5E5-1%29%7D%7B%5Cfrac%7B1%7D%7B5%7D-1%7D%5C%5CS_n%3D%5Cfrac%7B5%28%5Cfrac%7B1%7D%7B3125%7D-1%29%7D%7B%5Cfrac%7B1-5%7D%7B5%7D%7D%5C%5CS_n%3D%5Cfrac%7B5%28%5Cfrac%7B1-3125%7D%7B3125%7D%29%7D%7B%5Cfrac%7B-4%7D%7B5%7D%7D%5C%5CS_n%3D%5Cfrac%7B5%28%5Cfrac%7B-3124%7D%7B3125%7D%29%7D%7B%5Cfrac%7B-4%7D%7B5%7D%7D%5C%5CS_n%3D5%28%5Cfrac%7B-3124%7D%7B3125%7D%29%7D%5Ctimes%7B%5Cfrac%7B-5%7D%7B4%7D%7D%5C%5CS_n%3D%5Cfrac%7B781%7D%7B125%7D)
So, sum of the first five terms of the geometric sequence in which a1=5 and r=1/5 is ![\mathbf{S_n=\frac{781}{125} }](https://tex.z-dn.net/?f=%5Cmathbf%7BS_n%3D%5Cfrac%7B781%7D%7B125%7D%20%7D)
Answer:
The first 20 decimal places of pi are 3.14159265358979323846
This can be determined using a long set of complex calculations. However, they are readily available to you online or in most geometry textbooks for your use.