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yanalaym [24]
2 years ago
12

Use the figure to find the measures of the numbered angles. Then, explain how you determined each of the numbered angle measures

.

Mathematics
1 answer:
fenix001 [56]2 years ago
7 0

Answer:

see below

Step-by-step explanation:

∠1 = 61°

∠2 = 119°

∠3 = 61°

∠4 = 119°

∠5 = 119°

∠6 = 61°

∠7 = 119°

-------------------------------

∠1 = 61°   = as given

∠2 = 119° = ( 180 - 61 ) = 119°

∠3 ≅ ∠1  opposite angles are equal (congruent)

∠4 ≅ ∠2  opposite angles are equal (congruent)

∠5 ≅ ∠2 or parallel

∠6 ≅ ∠3 ≅ ∠1

∠7 ≅ ∠5

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An equilateral triangle has a perimeter of 48 cm. What is the area?
KiRa [710]

Answer:

A=64\sqrt{3}\ cm^2

Step-by-step explanation:

we know that

An <u><em>equilateral triangle</em></u> has three equal sides and three equal interior angles (each interior angle measure 60 degrees)

so

The perimeter is equal to

P=3b

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we have

P=48\ cm

substitute

48=3b

solve for b

b=48/3\\b=16\ cm

Find the area

The formula of area applying the law of sines is equal to

A=\frac{1}{2}b^2sin(60^o)

substitute the value of b

A=\frac{1}{2}(16)^2sin(60^o)

sin(60^o)=\frac{\sqrt{3}}{2}

A=\frac{1}{2}(16)^2(\frac{\sqrt{3}}{2})

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6 0
2 years ago
Please help me with this
ZanzabumX [31]

Answer:

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Step-by-step explanation:


8 0
3 years ago
the larger room is twice as long as the smaller room. how long is the larger room. small room is 20 4/5 feet​
masya89 [10]

Answer:

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BartSMP [9]
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3 years ago
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Help me I don’t get this
andre [41]

Step-by-step explanation:

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3 years ago
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