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hichkok12 [17]
3 years ago
14

Which graph represents a proportional relationship?

Mathematics
1 answer:
dalvyx [7]3 years ago
3 0

Answer:

Step-by-step explanation:

The first one as it is a sloping straight  passing through the origin.

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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
Read 2 more answers
Olympic gold medal winner Michael Phelps compete in a pool with required dimensions 2.5 M by 50 m by 2 m what is the volume of t
Murrr4er [49]

Answer:

250 cubic m

Step-by-step explanation:

volume of the Olympic grid pool

= 2.5 \times 50 \times 2 \\  = 2.5 \times 100 \\  = 250 \:  {m}^{3}

5 0
3 years ago
You want to solve 11% of what number is 22. Explain how you can solve that by using a proportion
Doss [256]
Write the first ratio as 11/100 and set it equal to 22/n.

since 11 x 2=22 you can multiply 100 x 2 and you'll get 200. 

*Check*: 11% of 200=22
3 0
3 years ago
Charlene is wrapping the box below. How much wrapping paper will she need? *
Anit [1.1K]

Answer:

286 in³

Step-by-step explanation:

7×5 = 35

35×2 = 70in

9×5 = 45

45×2 = 90in

9×7 = 63

63×2 = 126in

70+90+126

=286in³

5 0
3 years ago
If f(×)=1/3×^2+5find f(-9)
Snezhnost [94]

Answer:

I think this is the answer

f( - 9) =  \frac{1}{3( - 9) {}^{2} }  + 5 \\  =  \frac{1216}{243}  \\  = 5.0041

5 0
3 years ago
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