Answer:
Step-by-step explanation:
45+8x+21+90=180 degree(sum of interior angles of a triangle)
156+8x=180
8x=180-156
8x=24
x=24/8
x=3
For a geometric sequence with common ratio

, we have

that is, the

-th term in the sequence is the product of the previous term and the common ratio

. So

Then the sum of the first 7 terms is


Notice that

so we can subtract this modified sum from

to get

We're told that

and

, so the sum of the first 7 terms is
Answer:
13! or 6227020800
Step-by-step explanation:
With no restrictions, we can figure out the answer to be 13! by the following analysis:
For the first position in line, there are 13 different students who could fill that spot. If we fill it and proceed to the next position in line, there are now only 12 students left who can fill it, since one is already in line. Then the next position only has 11 possibilities, and the next 10, and so on.
Multiplying all of this together gives us 13*12*11*10*9*8*7*6*5*4*3*2*1 or 13!
If each jar cost $2 and you have $4 you can buy 2 jars!
Answer:
D.) -3
Step-by-step explanation:
N is greater than -4 and less than -2.
Therefore, -3 is N since it is between -4 and -2.