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Finger [1]
4 years ago
14

This diagram is a straightedge and compass construction. A is the center of one

Mathematics
1 answer:
Svetach [21]4 years ago
5 0

Answer:

True choices are 1, 2, 5

Step-by-step explanation:

As per diagram, the circles are equal.

<u>Since the distance AB is the radius of both circles:</u>

  • AB = AC = BC = BD = AD = r

<u>So the answer choices:</u>

1. AC = BC

  • Correct, both equal to r

2. AC = BD

  • Correct, both equal to r

3. CD = AB

  • Incorrect. Half of CD is the leg of 30-60-90 triangle and is equal to  r√3/2, so CD = AB√3

4. ABCD is a square

  • Incorrect. ACBD is rhombus

5. ABD is an equilateral triangle

  • Correct, all three sides are equal to r

6. CD = AB + AB

  • Incorrect as CD = AB√3

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Let A, B and C represent the following events.

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Probability=P(A\cap B\cap C')+P(A\cap B'\cap C)+P(A'\cap B\cap C)

Probability=P(A)P(B)P(C')+P(A)P(B')P(C)+P(A')P(B)P(C)

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Probability=\frac{3}{56}+\frac{1}{28}+\frac{3}{35}

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The probability that exactly two of the three players will win but one will lose is \frac{7}{40}.

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