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3 years ago

Explain the connection between ∠2 and ∠B.

Mathematics

2 answers:

liraira [26]3 years ago

7 0

Answer:

∠2 ≅ ∠B

Step-by-step explanation:

Let the triangle be ABC,

Given that,

∠A = 50°

∠C = 65°

Using angle-sum property of the triangle,

∠A + ∠B + ∠C = 180°

50° + ∠B + 65° = 180°

∵ ∠B = 65° ...(i)

A.T.Q.

Two horizontal lines are extended making 3 angles. Two angles out of them are 50° and 65°.

Since the adjacent angles comprising a straight line is equals to 180°.

so,

∠2 + 50° + 65° = 180°

∠2 + 115° = 180°

∠2 = 180° - 115°

∵ ∠2 = 65° ...(ii)

Using (i) and (ii),

∠2 ≅ ∠B

Therefore, ∠2 and ∠B are congruent to one another.

Savatey [412]3 years ago

7 0

Answer: Sample Response: The sum of the measures of the interior angles of a triangle is 180°. m∠B + 50 + 65 = 180, so m∠B = 65°. The sum of adjacent angles forming a straight line is also 180°. m∠2 + 50 + 65 =180, so m∠2 = 65°. The angles are congruent.

Step-by-step explanation: its the sample response

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GaryK [48]

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3 years ago

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Answer:

option B.

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Step-by-step explanation:

Since we are dealing with a normal distribution

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Approximately 15.86% of the values will be higher than 210

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Multiply and give the answer in scientific notation:

kakasveta [241]

Step-by-step explanation:

given

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First law of indices applied there

=(15×10^3)(8×10^8)

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3 years ago

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Anna71 [15]

Answer:

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Step-by-step explanation:

Let's call x to the order-of-entry of State B, therefore the order-of-entry of State A is x+1. Given that he product of their order-of-entry numbers is 132:

x*(x+1) = 132

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