The line is 180 degrees in total so your equation would be-
X-6 + 8x + 24 = 180
9x + 18 = 180
9x = 162
Answer is: x = 18
Answer:
- The sum of the series is given as
7/(1 + 7z)
- The series converges for (-1/7, 1/7)
Step-by-step explanation:
Given the geometric series:
7 - 14z + 28z² - 56z³ + ...
The common ratio r is given as
-14z/7 or 28z²/(-14z) or -56z³/(28z²) and so on
r = -7z
The sum of the series is given as
S = a/(1 - r)
Where a is the first term in the series.
S = 7/(1 -(-7z))
= 7/(1 + 7z)
The series converges for |-7z| < 1
That is for -1/7 < z < 1/7
-0.4x=2.5 divide both sides by -0.4
x=-6.25
Answer:
<em>Correct choices: a) 5:12 and c) 7 to 12</em>
Step-by-step explanation:
The ratio of red beads to pink beads is 5:7. This means that for every 5 red beads there are 7 pink beads.
It also means that for every 12 beads there are 5 red beads and 7 pink beads.
Therefore, there are two part-to-whole ratios:
5:12 red beans to total beads, and
7:12 pink beans to total beads
Correct choices: a) 5:12 and c) 7 to 12