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Gemiola [76]
3 years ago
7

a slug travels 3 centimeters 3 seconds a snail travels 6 centimeters in 6 seconds both travel at constant speed which traveled f

aster
Mathematics
2 answers:
iren2701 [21]3 years ago
8 0

Answer:

Both slug and snail traveled with the same speed.

Step-by-step explanation:

Given,

Distance covered by slug = 3 cm,

Time taken = 3 seconds,

Speed = \frac{Distance}{Time}

So, the speed of the slug = \frac{3}{3}

= 1 cm per sec,

Now, distance covered by snail = 6,

Time taken = 6 seconds,

So, the speed of the snail = \frac{6}{6}

= 1 cm per seconds,

Hence, both slug and snail traveled with the same speed.

Tju [1.3M]3 years ago
7 0

Both traveled the same speed: 3cm/3s= 1m/s and 6cm/6s= 1m/s

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If m∠a=47°, what is m∠b, m∠c, and m∠d? Explain how you know the measures are correct.
avanturin [10]

m ∠b = 133°, m ∠c = 47°, and m ∠d = 133°.

<h3>Further explanation</h3>

Follow the attached picture. I sincerely hope that's precisely a correct illustration.

We will use a graph of two intersecting straight lines.

Note that m ∠a and m ∠c are vertical angles. Since vertical angles share the same measures, in other words always congruent, we see \boxed{ \ m \ \angle{c} = m \ \angle{a} \ } \rightarrow \boxed{\boxed{ \ m \ \angle{c} = 47^0 \ }}

We continue to determine m ∠b and m ∠d.

Note that m ∠b and m ∠d represent supplementary angles. Recall that supplementary angles add up to 180°.

Let us see the following steps.  

\boxed{ \ m \ \angle{a} + m \ \angle{b} = 180^0. \ }

\boxed{ \ m \ 47^0 + m \ \angle{b} = 180^0. \ }

Both sides subtracted by 47°.

\boxed{ \ m \ \angle{b} = 180^0 - 47^0. \ }

Thus \boxed{\boxed{ \ m \ \angle{b} = 133^0. \ }}

Finally, note that m ∠b and m ∠d are vertical angles. Accordingly, \boxed{ \ m \ \angle{d} = m \ \angle{b} \ } \rightarrow \boxed{\boxed{ \ m \ \angle{d} = 133^0 \ }}

<u>Conclusion:</u>

  • m ∠a = 47°
  • m ∠b = 133°
  • m ∠c = 47°
  • m ∠d = 133°

<u>Notes:</u>

  • Supplementary angles are two angles when they add up to 180°. \boxed{ \ example: \angle{a} + \angle{b} = 180^0 \ }
  • Vertical angles are the angles opposite each other when two lines cross. Note that vertical angles are always congruent, or of equal measure. \boxed{ \ example: \angle{a} = \angle{c} \ }
<h3>Learn more</h3>
  1. About the measure of the central angle brainly.com/question/2115496
  2. Undefined terms needed to define angles  brainly.com/question/3717797
  3. Find out the measures of the two angles in a right triangle brainly.com/question/4302397

Keywords: m∠a = 47°, m∠b, m∠c, and m∠d, 133°, vertical angles, supplementary, 180°, congruent

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