For any inscribed quadrilateral, the opposite angles add to 180
(angle PMN) + (angle NOP) = 180
(8x-24) + (4x) = 180
12x-24 = 180
12x-24+24 = 180+24 ..... add 24 to both sides
12x = 204
12x/12 = 204/12 ..... divide both sides by 12
x = 17
angle NOP = 4x
angle NOP = 4*17
<h3>
angle NOP = 68 degrees</h3>
Answer:
b) ( N c ∩ D ) ∪ ( N ∩ D c )
Step-by-step explanation:
Let's see each option:
a) N ∪ D
This includes those who likes both, so this is not correc.t
b) ( N c ∩ D ) ∪ ( N ∩ D c )
Nc is the complement of N. That is those who do not subscribe to news magazine. Intensected with D, those are who do not subscribe to the news magazine but do to the daily informer. By the same logic, the second intersection are those who do subscribe to news magazine but not to the daily informer. This is the correct answer
c) N c ∩ D
This includes only those who subscribe to the daily informer but not to the news maganize. It also needs those who subscribe to the news magazine but not to the daily informer.
d) ( N ∩ D )c
This also involves those who do not subscribe to any of these news sources.
e) ( N c ∪ D ) ∩ ( N ∪ D c )
Wrong... Intersection of those who subscribe to the daily informer but not the news magazine and those who subscribe to the news magazine but not to the daily informer. This is the empty set.
Answer:
Option A : 200, 250, 300, 350, 400, 450
Add 50 to each weekly result
Option B : 200, 220, 242, 266.2, 292.82, 322.1
Mutiply the weekly result with 110/100
Answer:
a) 40 = 8b
b) b = 5
Step-by-step explanation:
(b) 40 = 8 × b
40 ÷ 8 = b
5 = b
3 meters = 300 cm
300 cm + 35 cm = 335cm
Each cm is 10mm
So 335 cm = 3350 mm