Supplementary angles definition: They add up to 180°
There are several ways to prove a parallelogram:
1. Opposite sides theorem converse
2. Opposite angles theorem converse
3. Parallelogram diagonals theorem converse
4. Parallel congruent sides theorem
∠P + ∠Q = 180° --1
∠P + ∠S = 180° --2
1: ∠P = 180° - ∠Q
Sub 1 into 2:
180° - ∠Q + ∠S = 180°
180° + ∠S = 180° + ∠Q
∠S = ∠Q
Or you can try saying the opposite sides are parallel, since they are interior angles and those are straight lines
Answer:
x = -5 ±4sqrt(3)
Step-by-step explanation:
(x + 5)^2 = 48
Take the square root of each side
sqrt((x + 5)^2) = ±sqrt(48)
x+5 = ±sqrt(16*3)
x+5 = ±4sqrt(3)
Subtract 5 from each side
x = -5 ±4sqrt(3)
Answer:
No it is not
Step-by-step explanation:
The median is 84200
The mean is 85300
Low income is 65100
High income is 103400
From this information, we can see a skewed data. The mean would not be a good estimate value. Rather the center (median) would be more appropriate.
When we calculate the middle value for this data
65100+103400 = 168500/2 = 84250
84250 is closer to the median score of 84200. The median is best in the presence of outliers.
The answer is: x = 10, y = 2
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Work:
x + y = 12
(10) + (2)+ = 12
Correct
x - 2y = 6
(10) - 2(2) = 6
10 - 4 = 6
Correct