Answer:
Step-by-step explanation:
<u><em>To Determine:</em></u>
Solve for x and find angle LMN.
<u><em>Fetching Information and Solution Steps:</em></u>
Considering the angle 
As MO bisects the angle into two equal angle parts. These equal angles are:
As these angles are equal. i.e.
Hence,
As was cut into two equal parts 
and 
So,
= 
= 
= 
= 
∵
= 
Therefore, 
Keywords: angle bisector, congruent angles
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Answer: 
<u>Simplify both sides of the equation</u>
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(Combine Like Terms)
<u>Subtract 2x from both sides</u>
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<u>Divide both sides by 10</u>
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Answer:
0.875 is equivalent to 7/8
Leave a thanks if this helped
Answer: y = 7.5
Step-by-step explanation:
Suppose that y varies directly with x
That is, y∝x
Convert y∝x to a full equation by introducing a constant k to the right hand side.
Therefore, y = kx
Given that y = 10 and x = 20
Substitute y and x in the equation above. We have;
10 = k(20)
10 = 20k
20k = 10
k = 10/20
k = 0.5
Since k = 0.5, the equation y = kx becomes y = 0.5x
Now, to find y if x = 15, substitute x in equation y = 0.5x
Therefore, y = 0.5(15)
y = 7.5
The given complex number is ⇒ z = a + b i
The absolute value of z = √( a² + b² ) = 3.28
So, we will check which of the options will give 3.28
<span>( A) IF ⇒⇒ a=1.5 and b=1.7
</span>
<span>∴ √( a² + b² ) = √( 1.5² + 1.7²) = √5.14 ≈ 2.27
</span>
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<span>(B) IF ⇒⇒ a=1.5 and b=3.3
</span>
<span>∴ √( a² + b² ) = √(1.5² + 3.3²) = √13.14 ≈ 3.62
</span>
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<span>(C) IF ⇒⇒ a=1.7 and b=2.8
</span>
<span>∴ √( a² + b² ) = √(1.7² + 2.8²) = √10.73 ≈ 3.28
</span>
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<span>(D) IF ⇒⇒ a=2.8 and b=3.3
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∴ √( a² + b² ) = √(2.8² + 3.3²) = √18.73 ≈ 4.33
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So, the correct answer is option (C) <span>a=1.7,b=2.8</span>
