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goldenfox [79]
3 years ago
15

(1/2)/(2/3) evaluate

Mathematics
1 answer:
nikitadnepr [17]3 years ago
8 0

Answer:

\frac{3}{4}

Step-by-step explanation:

  1. Find a common denominator for the 2 denominators: 6
  2. Change the fractions: 2 × 3 = 6, 1 × 3 = 3, 3 × 2 = 6, 2 × 2 = 4
  3. Re-write the fractions: \frac{3}{6} and \frac{4}{6}  
  4. Write as an expression: \frac{3}{6} ÷ \frac{4}{6}  
  5. \frac{3}{6} ÷ \frac{4}{6} = \frac{3}{6} × \frac{6}{4}
  6. \frac{3}{6} × \frac{6}{4} = \frac{18}{24}  
  7. \frac{18}{24} = \frac{3}{4}  

I hope this helps!

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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

m∠2 = 2x + 54 and m∠6 = 6x - 11

Angle ∠2 and ∠6 are corresponding angles.

Corresponding angles are congruent.

Thus,

m∠2 = m∠6

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flipe the equation

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Part b)

We have already determined

x = 16.2500

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m∠2 = 2x + 54

substitute x = 16.2500 in the euation

        = 2(16.2500) + 54

        = 86.5°

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 + 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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