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telo118 [61]
3 years ago
14

Kiran wrote the expression x-10 for this number puzzle: "Pick a number, add -2, and multiply by 5."

Mathematics
1 answer:
ioda3 years ago
7 0

Answer:

If you pick the number 2, you will get (2) - 10 = 8

But the way he said it, it would be:  (2) - 2 * 5 = 0

The correct way would be to write the expression:  (x - 3) * 5

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Please check the explanation.

Step-by-step explanation:

Part a)

Given that the two parallel lines are crossed by a transversal line.

Given that

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Angle ∠2 and ∠6 are corresponding angles.

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Thus,

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flipe the equation

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adding 11 to both sides

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Part b)

We have already determined

x = 16.2500

Given

m∠2 = 2x + 54

substitute x = 16.2500 in the euation

        = 2(16.2500) + 54

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As angle ∠2 and angle ∠1 lie on a straight line. Hence, the sum of their angles must be 180°.

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m∠1 + m∠2 = 180°

substituting m∠2 =  86.5° in the equation

m∠1 + 86.5°  = 180°

subtracting 86.5° from both sides

m∠1 + 86.5° - 86.5° = 180° - 86.5°

m∠1 = 93.5°

Therefore, the measure of angle m∠1 is:

  • m∠1 = 93.5°
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Step-by-step explanation:

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