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s2008m [1.1K]
3 years ago
6

What is the probability of rolling an odd or non-prime number using a 12-sided die?

Mathematics
1 answer:
andriy [413]3 years ago
6 0

Answer:

D) 11/12

Step-by-step explanation:

From 1 to 12, 6 numbers are odd (1, 3, 5, 7, 9, and 11).

7 numbers are non-prime (1, 4, 6, 8, 9, 10, and 12).

2 numbers are both odd and non-prime (1 and 9).

Therefore, the probability is:

(6 + 7 − 2) / 12 = 11/12

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WITCHER [35]
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I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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100 POINTS!! OMG YOU NEED TO SOLVE THIS!
natita [175]

Answer:

The correct answer is: \Delta BDE \cong \Delta BFK by <em>rule</em> ASA rule of congruence.

Step-by-step explanation:

First let us prove \Delta BDE \cong \Delta BFK by rule ASA (rule of congruence).

<u>Congruent side:</u>

\overline{BD} \cong \overline{BF} (Given)

<u>Congruent angles:</u>

1. By definition of perpendicular,

\angle{BFK} = 90 \textdegree \ (Since \ \overline{FK} \ is \ perpendicular \ to \ \overline{AB} \ (\overline{FK} \perp \overline{AB} =Given))

Also,

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Therefore,

\angle{BDE} \cong \angle{BFK}

or you can say,

\angle{D} \cong \angle{F}

2. Common angle between \Delta BDE \ and \ \Delta BFK is \angle{B}

In a nutshell, in \Delta BDE,

\angle{B} (Angle)

\overline{BD} (Side)

\angle{BDE} (Angle)

are congruent to the following angle, side and angle of \Delta BFK:

\angle{B} (Angle)

\overline{BF} (Side)

\angle{BFK} (Angle)

Therefore, by ASA rule of congruence, we can say \Delta BDE \cong \Delta BFK.

<em>Since both triangles are congruent</em>, the sides \overline{ED} and \overline{FK} are also congruent.

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