30 POINTS Type the correct answer in the box. Use numerals instead of words.
1 answer:
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Answer:
x = 22.5°
Step-by-step explanation:
m∠DEA = 2x
DE || AB
m∠EAB = 2x - by Alternate Interior Angles
Exterior angle = 6x, which equals 2x + 4x
m∠BEA = 4x
Exterior Angle 4x = 2x + 2x
m∠B = 2x
2x + 4x + 2x = 180°
8x = 180°
x = 22.5°
<h2>Exterior Angles of a Triangle:</h2>An exterior angle of a triangle is equal to the two REMOTE angles inside the triangle.
In this example, we know that 6x has remote angles of ∠EAB and ∠BEA
We found out that m∠EAB = 2x, so m∠BEA must equal 6x - 2x or 4x
<h2>Sum of angles in a Triangle:</h2>The sum of all angles in a triangle is equal to 180°.
In this example, we found all the angles, 2x, 4x, 2x. We added all of those values to equal 8x
Since the sum of all angles = 180°:
8x = 180°
x = 180°/8
x = 22.5°
-Chetan K
Answer:
Each term is half of the previous one, so the common ratio is 1/2. Then to get from the first term to the nth term, you have to take n - 1 steps, multiplying by 1/2 each time and by 6000 to account for the first term.
i hope this helps! :D
Answer: 3 x 7
Explanation:
So the question is asking you to multiply two prime numbers in order to get 21.
Since 3 and 7 are both prime numbers, you can express 21 as 3 x 7
Hope this helps! :)
Here is a list of prime numbers if it helps you. (prime numbers are in blue):
Explanation:
So the question is asking you to multiply two prime numbers in order to get 21.
Since 3 and 7 are both prime numbers, you can express 21 as 3 x 7
Hope this helps! :)
Here is a list of prime numbers if it helps you. (prime numbers are in blue):