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katen-ka-za [31]
2 years ago
10

What the next prime number after 33

Mathematics
1 answer:
Andreas93 [3]2 years ago
4 0
33 is not a prime number. A prime number is a number greater than 1 that can only be divided by 1 and the number itself. 

Factors of 33 are 1, 3, 11, 33. 

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If m∠JKM = 43, m∠MKL = (8 - 20), and m∠JKL = (10x - 11), find each measure.
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Correct Question: If m∠JKM = 43, m∠MKL = (8x - 20), and m∠JKL = (10x - 11), find each measure.

1. x = ?

2. m∠MKL = ?

3. m∠JKL = ?

Answer/Step-by-step explanation:

Given:

m<JKM = 43,

m<MKL = (8x - 20),

m<JKL = (10x - 11).

Required:

1. Value of x

2. m<MKL

3. m<JKL

Solution:

1. Value of x:

m<JKL = m<MKL + m<JKM (angle addition postulate)

Therefore:

(10x - 11) = (8x - 20) + 43

Solve for x

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10x - 11 = 8x + 23

Subtract 8x from both sides

10x - 11 - 8x = 8x + 23 - 8x

2x - 11 = 23

Add 11 to both sides

2x - 11 + 11 = 23 + 11

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Divide both sides by 2

\frac{2x}{2} = \frac{34}{2}

x = 17

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Plug in the value of x

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m<JKL = 10(17) - 11 = 170 - 11 = 159°

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