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3 years ago

Given: 1 and 2 are supplements, and 3 and 2 are supplements.

Mathematics

2 answers:

Ronch [10]3 years ago

5 0

The correct answers are:

Supplementary; ∠2 and ∠3; substitution; 2.

Explanation:

Supplementary angles are angles whose measures sum to 180°. Thus this is the first answer.

Since we are told that ∠2 and ∠3 are supplementary, their measures sum to 180° and they are the second answer.

We know that m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°. We can substitute "m∠2 + m∠3" for 180° in the first equation; this is the substitution property.

To isolate m∠1 on the right, we will subtract m∠2 from each side, and get that m∠1 = m∠3 and the angles are congruent.

andreev551 [17]3 years ago

5 0

By the definition of supplementary angles, the sum of the measures of angles 1 and 2 is 180 degrees. Likewise, the sum of the measures of angles 3 and 2 is 180 degrees. By the substitution property, m1 + m2 = m3 + m2. Subtract the measure of angle 2 from each side. You get m1 = m3, or 1 3, by the definition of congruence.

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zlopas [31]

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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2 years ago

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3 years ago

A fair die is tossed 5 times. Let <img src="https://tex.z-dn.net/?f=%5Cdfrac%7Bm%7D%7Bn%7D" id="TexFormula1" title="\dfrac{m}{n}

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Answer:

m = 1

Step-by-step explanation:

We can suppose that the number we are looking for is for example 5.

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For the second toss the probability we have 5 is again 1/6.

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3 years ago