Which postulate can be used to prove that the two triangles below are Congruent?
2 answers:
Answer:
B. SAA (Side-Angle-Angle)
Step-by-step explanation:
In the diagram given, the horizontal sides of the two triangles are equal. Also, by the principle of opposite angles,
< RTS = < QTV
The two angles are equal.
Furthermore, the sum of angles in a triangle is , so the third angle can be determined since
< RST = < VQT =
Thus the two triangles are congruent due to side - angle- angle.
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Answer:
First option and Fourth option.
Step-by-step explanation:
To solve this exercise you need to use the following Trigonometric Identity:
In this case you know that:
Since triangle ABC is similar to triangle DEF:
Let's begin with the triangle ABC.
You can identify that:
Then, substituing values, you get:
In triangle DEF, you know that:
So, substituing values, you get:
Answer:
0.0677 = 6.77% probability that they will all be nonfiction
Step-by-step explanation:
The books are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
10 + 12 = 22 books.
She chooses 4 books, which means that
12 nonfiction, which meas that
What’s the probability that they will all be nonfiction?
This is P(X = 4). So
0.0677 = 6.77% probability that they will all be nonfiction