Answer:
the SSS similarity theorem
Step-by-step explanation:
⇒ It cannot be the SAA similarity theorem as they only share a single common angle
⇒ It cannot be the HL similarity theorem, as the sides are not equal
⇒ It must be the SSS triangles
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<h3>What is the SSS similarity theorem?</h3>
It states that :
If the lengths of the corresponding sides of two triangles are proportional, then the two triangles are similar.
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Let's take the sides in proportion :
⇒ 15/5 = 3 (Hypotenuses)
⇒ 6+3/3 = 9/3 = 3 (Heights)
⇒ 8+4/4 = 12/4 = 3 (Bases)
As the sides are in proportion, the triangles are similar by the SSS similarity theorem.
The range of possible values of the measurement is:
[45.97cm, 48.03cm]
<h3>Which is the possible range for the measurement?</h3>
Here we have the measurement:
measurement 47 cm ± 2.2%
The 2.2 percent of 47cm is:
47cm*( 2.2%/100%) = 47cm*(0.022) = 1.034 cm
Then the minimum of the measurement is:
47cm - 1.034cm = 45.97cm
The maximum of the measurement is:
47cm + 1.034cm = 48.03cm
we conclude that the correct option is the second one:
[45.97cm, 48.03cm]
If you want to learn more about ranges:
brainly.com/question/24326172
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9514 1404 393
Answer:
14.9 cm
Step-by-step explanation:
To find c using the Law of Sines, you must know angle C. That is found from ...
C = 180° -A -B = 180° -150° -12° = 18°
Then the law of sines tells you ...
c/sin(C) = b/sin(B)
c = b·sin(C)/sin(B) = (10 cm)·sin(18°)/sin(12°)
c ≈ 14.9 cm
Answer:
Step-by-step explanation:
Given that a fair coin is flipped twelve times.
It means the number of possible sequences of heads and tails would be:
2¹² = 4096
We can determine the number of ways that such a sequence could contain exactly 9 tails is the number of ways of choosing 9 out of 12, using the formula
Plug in n = 12 and r = 9
∵ 
∵ 
Thus, the probability will be:
Thus, the probability of the coin landing tails up exactly nine times will be:
