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horsena [70]
1 year ago
8

What theorem states that if two sides and the included angle of one triangle are congruent to the corresponding parts of another

triangle the triangles are congruent?
Mathematics
1 answer:
lianna [129]1 year ago
7 0

The given statement is proved by side-angle-side (SAS) theorem.

Yes, if two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle the triangles are congruent.

The statement is proved by SAS theorem

<u>Side-Angle-Side (SAS) theorem: </u>

The triangles are congruent if two sides and the included angle of one triangle are equivalent to two sides and the included angle of another triangle.

Hence, The given statement is proved by side-angle-side (SAS) theorem.

To read more about Angles

brainly.com/question/22472034

#SPJ4

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the one wayyy on the top

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3 years ago
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Try to estimate the probability you'd turn on the radio and hear a song you were thinking about. In other words, estimate the pr
Black_prince [1.1K]

Probabilities are used to determine the likelihood of events

The value of the probability P(thinking of a song)P(turn on the radio and hear the song) is 0.056

<h3>How to estimate the probability</h3>

To calculate the probability, we make use of the following representations:

  • Event A represents the likelihood of thinking of a song
  • Event B represents the likelihood of turning on the radio and hearing the song

So, we have:

P(thinking of a song)P(turn on the radio and hear the song) = P(A) * P(B)

Assume that:

P(A) = 0.12 and P(B) = 0.47

So, we have:

P(thinking of a song)P(turn on the radio and hear the song) = 0.12* 0.47

Evaluate the product

P(thinking of a song)P(turn on the radio and hear the song) = 0.0564

Approximate

P(thinking of a song)P(turn on the radio and hear the song) = 0.056

Hence, the value of the probability P(thinking of a song)P(turn on the radio and hear the song) is 0.056

Read more about probabilities at:

brainly.com/question/25870256

8 0
2 years ago
Using the letters in the word INNOVATIVE, find the number of permutations that can be formed using 4 letters at a time. Show you
lyudmila [28]

Answer:  1) 5040 and 2) 165

Step-by-step explanation:

1) Here total number of letters = 10

The number of permutations that can be formed using 4 letters at a time

= P (10, 4)

= 10_P_4

= \frac{10!}{(10-4)!}

=  \frac{10!}{6!}

= \frac{10\times 9\times 8\times 7\times 6!}{6!}

= 10 × 9 × 8 × 7

= 5040

2) Here the total number of machine = 11

The different combinations of machines can Geoff choose from to use

= 11_C_3

= \frac{11!}{(11-3)!3!}

= \frac{11!}{8!3!}

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5 0
3 years ago
Please answer this question now
IrinaVladis [17]

Answer:

243.75

I hope i am right

Step-by-step explanation:

Using \: angle\: 40 \\Opposite = 25\\Hypotenuse = ?\\Sin \alpha = \frac{opp}{hyp} \\Sin 40 = \frac{25}{x} \\0.6427= \frac{25}{x}\\0.6427x = 25\\x = \frac{25}{0.6427}\\ x = 38.89\\x = 39\\Using \:Pythagoras\: theorem\\Hyp^2 = Opp^2 +Adj ^2\\39^2=25^2+x^2\\1521=625+x^2\\1521-65=x^2\\896=x^2\\x=29.93\\x = 30\\area = 1/2 \times b \times c \times sin(A).\\b =25\\c =39\\a =30\\A = \frac{1}{2} \times 25  \times 39 \times Sin 30\\A = 487.5\times 1/2\\A =243.75yd^2

8 0
4 years ago
I don’t understand this pls help
bonufazy [111]

<u>Question</u> : 21

The lines ON and PQ are parallel, therefore

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  • Angle O = 55°

<u>Question</u> : 22

The quadrilateral having all sides and angles equal is :

\boxed{ \boxed{ \:  \:  \:  \: square \:  \:  \:  \: }}

7 0
3 years ago
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