Answer:
28 cm
Step-by-step explanation:
Triangle ABC is obtained by joining the mid points of the sides of triangle XYZ.
So, perimeter of triangle ABC will be equal to half of the perimeter of triangle XYZ.
![P(\triangle ABC) = 28\: cm](https://tex.z-dn.net/?f=%20P%28%5Ctriangle%20ABC%29%20%3D%2028%5C%3A%20cm%20)
Answer:
The sum of the sequence is -152250.
Step-by-step explanation:
Given : Sequence ![-32+(-34)+(-36)+...+(-778)+(-780)](https://tex.z-dn.net/?f=-32%2B%28-34%29%2B%28-36%29%2B...%2B%28-778%29%2B%28-780%29)
To find : What is the sum of the sequence?
Solution :
The given sequence is in Arithmetic sequence as the difference between them is same.
Where, the first term is a=-32
The common difference is ![d=a_2-a_1](https://tex.z-dn.net/?f=d%3Da_2-a_1)
![d=(-34)-(-32)](https://tex.z-dn.net/?f=d%3D%28-34%29-%28-32%29)
![d=-34+32](https://tex.z-dn.net/?f=d%3D-34%2B32)
![d=-2](https://tex.z-dn.net/?f=d%3D-2)
The last term is l=-780.
The last term formula is ![l=a+(n-1)d](https://tex.z-dn.net/?f=l%3Da%2B%28n-1%29d)
![-780=-32+(n-1)(-2)](https://tex.z-dn.net/?f=-780%3D-32%2B%28n-1%29%28-2%29)
![\frac{-780+32}{-2}=n-1](https://tex.z-dn.net/?f=%5Cfrac%7B-780%2B32%7D%7B-2%7D%3Dn-1)
![374=n-1](https://tex.z-dn.net/?f=374%3Dn-1)
![n=375](https://tex.z-dn.net/?f=n%3D375)
The sum of n terms formula is
![S_n=\frac{n}{2}[a+l]](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5Ba%2Bl%5D)
![S_{375}=\frac{375}{2}[-32+(-780)]](https://tex.z-dn.net/?f=S_%7B375%7D%3D%5Cfrac%7B375%7D%7B2%7D%5B-32%2B%28-780%29%5D)
![S_{375}=\frac{375}{2}[-812]](https://tex.z-dn.net/?f=S_%7B375%7D%3D%5Cfrac%7B375%7D%7B2%7D%5B-812%5D)
![S_{375}=375\times (-406)](https://tex.z-dn.net/?f=S_%7B375%7D%3D375%5Ctimes%20%28-406%29)
![S_{375}=-152250](https://tex.z-dn.net/?f=S_%7B375%7D%3D-152250)
Therefore, the sum of the sequence is -152250.
Answer: 4
i hope this helps
the first step was
5=2x-3
5=2x-3
then the picture shows the rest
Answer:
C. $16.95
Step-by-step explanation:
Median is putting the numbers in numerical order and finding the middle by listing a number on each side off.
As there would need to be bigger numbers in order for the $17.99 to be in the middle, the smallest number would mess the order up.