Answer:
= 12
Step-by-step explanation:
The shape ABCDEF is an irregular polygon.
The sum of the interior angles of any regular or irregular polygon = (n - 2) x 180 (where n is the number of sides of the polygon).
Therefore, the sum of the interior angles of shape ABCDEF = (6 - 2) x 180 = 720°
So to find the value of
, we need to add together all the interior angles and equal it to 720, then solve for
.
Before we do that, we need to determine angle F.
From inspection, we can see that angle F and 52° are a linear pair. We know that a linear pair of angles add up to 180°, so F + 52 = 180 ⇒ F = 180 - 52 = 128°
Therefore:
A + B + C + D + E + F = 720
(10
- 5) + 108 + (8
- 3) + (14
- 25) + 133 + 128 = 720
Collect like terms:
10
+ 8
+ 14
- 5 + 108 - 3 - 25 + 133 + 128 = 720
Combine like terms:
32
+ 336 = 720
Subtract 336 from both sides:
32
= 384
Divide both sides by 32:
= 12
Answer:
22 meters per second
Step-by-step explanation:
If a car is going 374 meters in 17 seconds then you divide 374/17 claiming that the car is going 22 meters every second.
First, determine the z-score of 675.
z = (675 - 500) / 100 = 1.75
The z-score of 500 is,
z = 0.
Subtracting the z-scores will give us 1.75. This is equal to 0.9599.
= 0.9599 - 0.5 = 0.4599
Multiplying this to the given number of light bulbs,
n = 0.4599 x 5000 = 2299.5
Therefore, there is approximately 2300 light bulbs expected to last between 500 to 675 hours.
S·S=500. S²=500. S=√500. S=22.36. 22.4 inches for 1 side, 22.4(4)=89.6, 89.6 for all 4 :)
You have to put the numbers in order and find the middle value so in this case it's-
2, 4, 4, 5, 6, 7, 8, 8, 8
The answer is $6