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Mathematics

2 answers:

Mademuasel [1]3 years ago

7 0

The three interior angles of any triangle add to 180 degress. Therefore,

180-(120 + 40) = the third angle.

So, 20 is the third angle

vlabodo [156]3 years ago

3 0

Answer: 20°

<u>Step-by-step explanation:</u>

1. B = 120°, C = 40° 1. Given

2. A + B + C = 180° 2. Triangle Sum Theorem

3. A + 120° + 40° = 180° 3. Substitution Property

4. A + 160° = 180° 4. Simplify (added like terms)

5. A = 20° 5. Subtraction Property of Equality

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Please help ASAP! Correct answer only! This assignment is due today.

astra-53 [7]

Answer:

<em>Probability ≈ 0.0714</em>

Step-by-step explanation:

Consider permutation and combination;

$Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714$