Answer:
<u>Part A</u>
- Reflect over the y-axis: (x, y) → (-x, y)
A (-4, 4) → (4, 4)
B (-2, 2) → (2, 2)
C (-2, -1) → (2, -1)
D (-4, 1) → (4, 1)
- Shift 4 units down: (x, y-4)
(4, 4-4) → A' (4, 0)
(2, 2-4) → B' (2, -2)
(2, -1-4) → C' (2, -5)
(4, 1-4) → D' (4, -3)
<u>Part B</u>
Two figures are <u>congruent</u> if they have the same shape and size. (They are allowed to be rotated, reflected and translated, but not resized).
Therefore, ABCD and A'B'C'D' are congruent. They are the same shape and size as they have only be reflected and translated.
It’s is 997/1000. Just put the number over the highest decimal place
Answer:
x = 32
Step-by-step explanation:
17 = x/2 + 1
17 - 1 = x/2
16 = x/2
16 / 1/2 = x
16 * 2/1 = x
32 = x
No pie is left because 2/10 multiplied by 5 is 10/10, or 1 whole pie, so none of the pie is left.
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Answer:
56% ≤ p ≤ 70%
Step-by-step explanation:
Given the following :
Predicted % of votes to win for candidate A= 63%
Margin of Error in prediction = ±7%
Which inequality represents the predicted possible percent of votes, x, for candidate A?
Let the interval = p
Hence,
|p - prediction| = margin of error
|p - 63%| = ±7%
Hence,
Upper boundary : p = +7% + 63% = 70%
Lower boundary : p = - 7% + 63% = 56%
Hence,
Lower boundary ≤ p ≤ upper boundary
56% ≤ p ≤ 70%
