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Viktor [21]
2 years ago
8

Determine if the two triangles are congruent. If they are, state how you know.

Mathematics
1 answer:
Elza [17]2 years ago
6 0
Angle-side-angle is a rule used to prove whether a given set of triangles are congruent. The ASA rule states that: If two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent
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Find c.
Vinvika [58]
<h3>Answer:   0.5</h3>

========================================================

Explanation:

The ultimate goal is to find the value for lowercase c, or find the length of side c. So we'll use the portion sin(C)/c as part of the law of sines.

We don't know the value of lowercase 'a', so we'll ignore the sin(A)/a portion.

This leaves sin(B)/b

We see that one side is 2 cm long, so this means b = 2. The angle opposite this is 105 degrees, so B = 105.

The angle opposite side c is 15 degrees, so C = 15.

The lowercase letters represent side lengths, while the uppercase letters are angles.

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

We have enough to apply the law of sines to solve for side c.

sin(B)/b = sin(C)/c

sin(105)/2 = sin(15)/c

c*sin(105) = 2*sin(15) ............. cross multiply

c = 2*sin(15)/sin(105) .............. dividing both sides by sin(105)

c = 0.53589838486224

c = 0.5

Side c is roughly 0.5 cm long.

Make sure your calculator is in degree mode.

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3 years ago
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Debora [2.8K]

Answer:

Attached is the image of the solution . cheers

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What is the price of a $35 taxi ride plus 15% tip
Sveta_85 [38]
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7 0
2 years ago
2 1/2 divided by 2 1/3
horsena [70]

Answer:

Exact Form: 15/2

Decimal Form: 7.5

Mixed Number Form: 7 1/2

Step-by-step explanation:

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7th-grade math help me, please :(
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Answer:

71 remainder 80

Step-by-step explanation:

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2 years ago
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