Answer:
D. 20°, 60°, and 100°
Step-by-step explanation:
basically you're testing which set adds up to 180°:
D should immediately catch the eye since it has a simple 100°, and 60+20 is 80, making D the correct answer
a: 189°
b: 90°
c: 120°
d: 180°
Answer:
x = -7
Step-by-step explanation:
The whole line is 12
the whole line is also x + 14 and x + 12
so make them equal:
x+14 + x +12 = 12
2x + 26 = 12 now subtract 26 from both sides
2x = - 14 now divide both sides by 2
x = -7
Answer:
Step-by-step explanation:
a) Here, the first term is .48 and the common ratio is 1/100 (since each new 48 is 1/100 th of the previous 48). a
Use the formula s = sum of geometric series = -----------
1 - r
0.48 48
which in this case is s = --------------- = ------------ = 48/99 = 16/33
1 - 1/100 100 - 1
Check this result by finding 16/33 on a calculator. Is the result equal to 0.484848484848.... ? Yes
b) Here we have the bar over the 8 only. 0.48 with the bar over the 8 is equivalent to 0.4888888888 ...
0.08
or 0.4 + 0.0888888888 ... or 0.4 + ------------
1 - 1/10
0.08 8
and this simplifies to 0.4 + ------------ = 0.4 + ---------
9/10 90
Evaluating this last result on a calculator results in 0.488888888 ...
c) 0.48 expressed as a fraction is 48/100 = 12/25
<em>Total number of coin that George has
16 + 28 + 32 + 4 = 80 coins
total number of coins sold by George
= 15% of 80
= 15/100 X 80
= 12 coins (ans)</em>