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spayn [35]
3 years ago
14

Find measure of n..............​

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
6 0

Answer:

m<N = 51

Step-by-step explanation:

The given shape is a parallelogram

suppose KL || NM:

We can write the following equation

m<K = m<M and

8x + 17 = 12x - 39 transfer like terms to the same side of the equation

17 + 39 = 12x - 8x

56 = 4x divide both sides by 4

14 = x

Now to find the measure of n:

again suppose KL || NM then m<K + m<N = 180

m<K = 8*14 + 17 since we found x = 14

8*14 + 17 = 129 and m<N

180 - 129 = 51

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Solve this equation by completing the square: x2 + 4x – 13 = –8
marishachu [46]

Answer:

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Step-by-step explanation:

We are given;

  • The quadratic equation, x² + 4x - 13 = -8

We are required to solve the equation using the completing square method.

To do this, we use the following steps;

Step 1: We make sure the coefficient of x² is one

x² + 4x - 13 = -8

Step 2: Combine the like terms (take the constant term to the other side)

x² + 4x - 13 = -8

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Step 3: We add the square of half the coefficient of x on both sides of the equation

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