1. Definition of bisector
2. ASA congruence theorem or ASA Postulate
Answer:
P(A∪B) = 1/3
Step-by-step explanation:
Red Garments = 1 red shirt + 1 red hat + 1 red pairs of pants
Total Red Garments = 3
Green Garments = 1 green shirt + 1 green scarf + 1 green pairs of pants
Total Green Garments = 3
The total number of garments = Total Red Garments + Total Green Garments:
3 + 3 = 6
Let A be the event that he selects a green garment
P(A) = Number of required outcomes/Total number of possible outcomes
P(A) = 3/6
Let B be the event that he chooses a scarf
P(B) = 1/6
The objective here is to determine P(A or B) = P(A∪B)
Using the probability set notation theory:
P(A∪B) = P(A) + P(B) - P(A∩B)
P(A∩B) = Probability that a green pair of pant is chosen = P(A) - P(B)
= 3/6-1/6
= 2/6
P(A∪B) = 1/2 + 1/6 - 2/6
P(A∪B) = 2/6
P(A∪B) = 1/3
Answer:
Step-by-step explanation:
Tax
Meal plus tax = 25.3 + 8/100 * 25.3
Meal plus tax = 25.3 + 2.024 Round later. Find the total.
Meal plus tax = 27.324
Meal plus tax = 27.32 rounded to the nearest cent.
Tip
Total cost = 27.324 + 27.324 * 18 /100
Total cost = 4.91832 + 27.324
Total cost = 32.242
Rounded to nearest cent = 32.24 You should always round at the last step.
Answer:
Pattern B
<h3>
Explain: </h3>
A quadratic relationship is characterized by constant second differences.
<em><u>Pattern A
</u></em>
Sequence: 0, 2, 4, 6
First Differences: 2, 2, 2 . . . . constant indicates a 1st-degree (linear, arithmetic) sequence
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<em><u>Pattern B</u></em>
Sequence: 1, 2, 5, 10
First Differences: 1, 3, 5
Second Differences: 2, 2 . . . . constant indicates a 2nd-degree (quadratic) sequence
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<em><u>Pattern C</u></em>
Sequence: 1, 3, 9, 27
First Differences: 2, 6, 18
Second Differences: 4, 12 . . . . each set of differences has a common ratio, indicating an exponential (geometric) sequence
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Pattern B shows a geometric relationship between step number and dot count.