Answer:
Declaration of Independence was designed for multiple audiences: the King, the colonists, and the world. It was also designed to multitask. Its goals were to rally the troops, win foreign allies, and to announce the creation of a new country. The introductory sentence states the Declaration’s main purpose, to explain the colonists’ right to revolution. In other words, “to declare the causes which impel them to the separation.” Congress had to prove the legitimacy of its cause. It had just defied the most powerful nation on Earth. It needed to motivate foreign allies to join the fight.
Step-by-step explanation:
Answer:
128 students in total
Step-by-step explanation:
25/100 = 1/4
1/4 = 32/ x
1 x 32
Answer:
Step-by-step explanation:
This arc has the same measurement as the central angle. The central angle is LON where O is the center of the circle.
Point M forms an angle that is 1/2 the central angle when M is on the circumference and opposite the 150o angle. Therefore M is the vertex of a 75 degree angle.
76x - 1 = 75 Add 1 to both sides.
76x = 76 Divide by 76
x = 1
There are 62.5 pounds of rib eye steaks at the supermarket
Answer:
C. -11,325
Step-by-step explanation:
- To know the answer, is convenient to replace some values of "n" in the sum
![\sum_{(n=1)}^{150}[-1-(n-1)]](https://tex.z-dn.net/?f=%5Csum_%7B%28n%3D1%29%7D%5E%7B150%7D%5B-1-%28n-1%29%5D)
.
- The result would appear after adding up every value of the expression when n=1,2,3.....,150.
- When n=1, the expression takes the value of (-1):
![[-1-(1-1)]= (-1)-0=-1](https://tex.z-dn.net/?f=%5B-1-%281-1%29%5D%3D%20%28-1%29-0%3D-1)
. - When n=2, the expression takes the value of (-2):
![[-1-(2-1)]=-1-1=-2](https://tex.z-dn.net/?f=%5B-1-%282-1%29%5D%3D-1-1%3D-2)
. - Following this way, for every n, we will obtain -n, then, the sum will be:
. This sum can actually be expressed as 
, which is the result of solving the initial expression of the sum 
. - Finally, the sum of n=-1 to n=-150 equals -11,325.
