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grin007 [14]
3 years ago
8

The measures of two angles of pairs of triangles are given. Which pairs of triangles are similar?

Mathematics
2 answers:
nasty-shy [4]3 years ago
8 0

Answer:

1, 2, and 5 are similar

Step-by-step explanation:

morpeh [17]3 years ago
6 0

If the triangles are similar then the angles in both are equal. Let's look at each set individually:

(1) Triangle 1: 25°, 35°
Triangle 2: 25°, 120°
Now it may be hard to tell if the triangles are similar at the moment so we must calculate the third angle in each triangle (The angles in a triangle add up to 180°, therefor the missing angle = 180 - (given angle 1 + given angle 2)
Triangle 1: 180 - (25 + 35) = 120°
Triangle 2: 180 - (25 + 120) = 35°

Now writing out the set of angles again we have:
Triangle 1: 25°, 35°, 120°
Triangle 2: 25°, 120°, 35°

So in fact Triangle 1 and 2 are similar.

Now we can repeat this process for (2) - (5):

(2) Triangle 1: 100°, 60°, 20°
Triangle 2: 100°, 20°, 60°
This pair is also similar

(3) Triangle 1: 90°, 45°, 45°
Triangle 2: 45°, 40°, 95°
This pair is not similar

(4) Triangle 1: 37°, 63°, 80°
Triangle 2: 63°, 107°, 10°
This pair is not similar

(5) Triangle 1: 90°, 20°, 70°
Triangle 2: 20°, 90°, 70°
This pair is similar

Therefor pairs (1), (2) and (5) are similar
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If tan A = 4/5; what does CSC A =?<br> Round to nearest tenth.
ZanzabumX [31]

Answer:

1.6

Step-by-step explanation:

\tan \: A =  \frac{4}{5}  \\  \\  \cot \: A =   \frac{1}{ \tan \: A }  =  \frac{1}{ \frac{4}{5} }  =  \frac{5}{4}  \\  \\ csc\: A = \sqrt{1  +   {cot}^{2}\: A}     \\  =  \sqrt{1 +   { \bigg( \frac{5}{4}  \bigg)}^{2}  } \\  = \sqrt{1 +  \frac{25}{16} }   \\  = \sqrt{\frac{16 + 25}{16} }   \\  =   \sqrt{\frac{41}{16}}  \\  =  \frac{ \sqrt{41} }{4}  \\  =  \frac{6.40312424}{4}  \\  = 1.60078106 \\  \therefore \: csc \: A =1.6

6 0
3 years ago
Please help me! Giving brainliest!
oksano4ka [1.4K]

Using it's formula, the surface area of the figure is:

A. S=2332 m²

<h3>What is the surface area of a rectangular prism?</h3>

The surface area of a rectangular prism of dimensions l, w and h is given by:

S = 2(lw + lh + wh)

In this problem, the dimensions are:

35m, 9m, 16m

Hence the surface area of the rectangular prism is:

S = 2(35 x 9 + 35 x 16 + 16 x 9) = 2038 m².

<h3>What is the surface area of a cube?</h3>

The surface area of a cube of side length l is given by:

S = 6l².

In this problem, we have that l = 7 m, hence the surface area is:

S = 6 x 7² = 294 m².

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The total surface area is the sum of the surface areas, hence:

T = 2038 m² + 294 m² = 2332 m².

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5 0
2 years ago
What is the answer to 1935 divided by 54
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35.833

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       4 5 0    

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2 5/8 - 6 1/4 + 8 1/2
jek_recluse [69]

Answer:

2 5/8 - 6 1/4 + 8 1/2\

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Step-by-step explanation:

hope this helps :)

3 0
3 years ago
The diameter of a circle is 9 m. Find the circumference to the nearest tenth.​
DerKrebs [107]

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Take π =3. 14

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2 years ago
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