Answer:
126 degrees
Step-by-step explanation:
Triangle: y = 180 - (5x + 4x)
Straight angle: y = 180 - (4x + 30)
180 - (5x + 4x) = 180 - (4x + 30)
5x + 4x = 4x + 30
5x = 30
x = 6
Angle:
y = 180 - (5x + 4x)
y = 180 - 9x
y = 180 - 9(6)
y = 126
We can see the sequence goes by decreasing 9 on each number
so the numbers are
2, -7, -16, -25, -34, -43, -52, -61, -70
so adding all these numbers we get
2-7-16-25-34-43-52-61-70
= -306
hope this helped
Answer:
converges
Step-by-step explanation:
well the two polynomials in the series are 1 and n^8 (I'm assuming the +7 is not in the decimal but it seems to not matter). The degree of the polynomial 1 is 0 which can be represented by 1x^0. The second polynomial in the denominator has a degree of 8. So j = 0 and k = 8. Since 0 < (8-1)
0 < 7 the series converges
Answer:
5 years
Step-by-step explanation:
The shorter tree is 5 ft shorter, but is growing 1 ft/year faster. It will make up the difference of 5 ft in (5 ft)/(1 ft/year) = 5 years.
Answer:
x=771
Step-by-step explanation:
−771 + x = 0
x − 771 = 0
x − 771 + 771 = 0 + 771