In circle A shown below, the measure of ∠BAD is 148°: Circle A with angle BAD measuring 148 degrees; points B, C, D lie on Circl
e A. If m Arc BC is 105°, what is m Arc CD
2 answers:
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To answer this question you must use Pythagorean theorem
a and b are the legs (the sides that form a perpendicular/right angle)
c is the hypotenuse (the side opposite the right angle)
In this case...
a = 3
b = unknown
c = √34
^^^Plug these numbers into the theorem
Simplify
9 + b² = 34
solve for b
= 25
Take the square root of both sides to cancel out the square from the b
√b² = √25
b = 5
Hope this helped!
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Step-by-step explanation:
picking 3 consonants and 2 vowels when 5 letters are picked (without replacement) from a set of alphabet tiles.
There are 26 letters in alphabet
number of consonants = 21 and number of vowels = 5
We need to pick 3 consonants from 21 consonants
Probability of picking 1 consonant from 26 alphabets = 21/ 26
after picking 1 consonant then number of consonant becomes 20
Probability of picking second consonant from 25 alphabets = 20/ 25
Probability of picking third consonant from 24 alphabets = 19/ 24
We need to pick 2 vowels from 5 vowels
Probability of picking 1 vowel from remaining 23 alphabets = 5/ 23
Probability of picking second vowel from remaining 22 alphabets = 4/ 22
Now multiply all the probabilities
= 0.02022