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IrinaK [193]
3 years ago
11

Acar traveled 63 miles on 3 gallons of gas. What proportion can you set up to determine how many miles, m, the car can

Mathematics
2 answers:
Sunny_sXe [5.5K]3 years ago
4 0

Answer:

63 miles       x miles

----------- = -------------

3 gallons    7 gallons

Step-by-step explanation:

We will use proportions.  the number of miles over the gallons of gas

63 miles       x miles

----------- = -------------

3 gallons    7 gallons

Mariulka [41]3 years ago
4 0

Answer: 147 miles

Step-by-step explanation:

On 3 gallons, he travelled 63 miles

On 7 gallons, he travels

7/3 x 63 = 147 miles

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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

7 0
3 years ago
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Proper interval would be 5
8 0
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9 is 9% of what number?
hjlf

Answer:

are you sure this is high school level stuff? its 9% of 100

Step-by-step explanation:

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plane 1 travels 395 miles in 1 hour

plane 2 travels 422 miles in 1 hour

together, they travel (395+422) 817 miles in 1 hour

to have 2451 miles between then, they'd need to travel

\frac{2451 miles}{817 miles}=3

so in 3 hours, they'll be 2451 miles apart

3 0
3 years ago
4t - 2 + t2 = 6 + t^2
aliya0001 [1]
Answer:

t = 2 , t = 4

Explanation:

The equation has two solutions.
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