Answer:
36 degrees for each angle.
Step-by-step explanation:
If you divide 180 by 5 (for each point in the star) you get 36 degrees.
Answer:
x = approx. 1.24 or -7.24
Step-by-step explanation:
It's hard to factor directly so we should use the quadratic formula or complete the square. I'm going to go with completing the square.
x²+6x-9=0
x²+6x=9
x²+6x is the same as x²+2·3·x, in order to make this into the algebraic identity (A+B)²=A²+2AB+B², we must add B², or in this case 3² to both sides. (A is x, B is 3)
x²+6x+9=18
(x+3)²= 18
x+3= ±√18
x= ±4.24 -3 (approximately 4.24)
First solution for x = 4.24-3 = 1.24
Second solution for x = -4.24-3 = -7.24
Answer:
The common difference is 2
Step-by-step explanation:
The formula for an arithmetic sequence is
an = a1+d(n-1)
a1 = -5
a10 = 13
Substituting n=10 a10=13 and a1 =-5
13 = -5 +d (10-1)
13 = -5 +9d
Add 5 to each side
13+5 = -5+5 +9d
18 = 9d
Divide each side by 9
18/9 = 9d/9
2 =d
I’m not completely sure, but I would say about 3/5 because of the fact that the X is not directly in the middle, so it can’t be 1/2 but it’s very close to the middle which could make it possible that it is 3/5?
3 (2x + 4y - y) Combine like terms (4y and -y)
3 (2x + 3y) Use the Distributive Property [(3 · 2x) + (3 · 3y)]
6x + 9y
