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Elena-2011 [213]
3 years ago
8

In the figure below, m /3=73*

Mathematics
1 answer:
pickupchik [31]3 years ago
4 0

Answer:

∠1 = 73

∠2 = 107

∠4 = 107

Step-by-step explanation:

∠1 and ∠3 are vertical angles

Vertical angles are congruent

Which means that because ∠3 = 73°, ∠1 also equals 73°

∠2 and ∠3 are supplementary angles

supplementary angles add up to equal 180

Thus, ∠2 + ∠3 = 180

If ∠3 = 73° then ∠2 + 73 = 180

180 - 73 = 107

Hence, ∠2 = 107

∠2 and ∠4 are vertical angles

Like stated previously vertical angles are congruent

Which means that because ∠2 = 107°, ∠4 also equals 107°

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Given:

Side length = 12 in

To find:

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Solution:

Number of sides (n) = 6

Let us find the apothem using formula:

$a=\frac{s}{2 \tan \left(\frac{180^\circ}{n}\right)}

where s is side length and n is number of sides.

$a=\frac{12}{2 \tan \left(\frac{180^\circ}{6}\right)}

$a=\frac{6}{ \tan (30^\circ)}

$a=\frac{6}{ \frac{1}{\sqrt{3} }}

$a=6\sqrt{3}

Area of the regular polygon:

$A=\frac{1}{2}(\text { Perimeter })(\text { apothem })$

$A=\frac{1}{2}(6 \times 12)(6\sqrt{3} )

$A=\frac{1}{2}(72)(6\sqrt{3} )

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Which inequality comparing two of the expressions below is true when 0.5
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Answer:

<u>Option C</u>

Step-by-step explanation:

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If x = 0.6

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B. x³ > 1/x

If x = 0.6

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<u></u>

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D. (x/3) > (1/x)

If x = 0.6

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