1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kap26 [50]
4 years ago
10

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

Mathematics
2 answers:
avanturin [10]4 years ago
7 0

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

Vilka [71]4 years ago
6 0

m ∠d = 133°

m ∠c = 47°

m ∠b = 133°

Further explanation

Assuming there are two planes that intersect, the total sum of all angles will be 360°.

This means that m ∠a+ m ∠b+ m ∠c+ m ∠d=360°.

If the planes intersect then m ∠a is congruent to m ∠c and supplementary to m ∠b, meaning that m ∠a = m ∠c and m ∠a + m ∠b = 180°

Therefore, to determine m ∠b,  

180°– 47° = m ∠b

m ∠b = 133°

since m ∠a = m ∠c, then m ∠b= m ∠d

therefore,  

   m ∠a = 47°

   m ∠b = 133°

   m ∠c = 47°

   m ∠d = 133°

About Question:

Subject : Mathematics

level:Middle  School

Related Links:

brainly.com/question/12869448

You might be interested in
Please pass this on... ( #helpsavelives )
Zielflug [23.3K]

Answer:

great..:)

Are u a motivational speaker??

4 0
3 years ago
Read 2 more answers
The vertical change between 2 points.
fredd [130]

Answer:

what does it look like we need that

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
II. Let f(x) = 9 – x , g(x) = x2<br> + 4, and h(x) = x – 2. Compute the following:<br> 7. g(f(12))
Alex17521 [72]
G(f(12))
f(12) = 9 - 12 = -3
g(-3) = (-3)^2 + 4 = 9 + 4 = 13
4 0
3 years ago
A gun mass of 5 kg fired a bullet of mass 10 g with the velocity of 360 km/h. What
klemol [59]

Answer:

The recoil velocity of the gun is 0.72\,\,\frac{km}{h}  and is pointing in opposite direction to the velocity of the bullet.

Step-by-step explanation:

Use conservation of linear momentum, which states that the momentum of the bullet (product of the bullet's mass times its speed) should equal in absolute value the momentum of the recoiling gun (its mass times its recoil velocity).

We also write the mass of the bullet in the same units as the mass of the gun (for example kilograms). Mass of the bullet = 0.010 kg

In mathematical terms, we have:

5\, kg * v= 0.01 \,kg\,* 360\,\frac{km}{h} \\v=\frac{0.01\,*360}{5} \,\,\frac{km}{h}\\v=0.72\,\,\frac{km}{h}

6 0
3 years ago
X^2+x-12=0 solve ASAP
zzz [600]
X^2+x-12=0 factors out into (x+4)(x-3) so the answer is: x=-4, x=3
6 0
2 years ago
Other questions:
  • It is important to keep the same tense in your business writing, because otherwise your readers may ______.
    7·2 answers
  • The square pyramid has a volume of 486 cubic inches. What is the value of x?
    10·2 answers
  • A box contains 3 blue marbles, 5 red marbles, and 4 white marbles. If one marble is drawn at random, find P(not red Inot white).
    12·1 answer
  • If tan x = , and 0 &lt; x &lt;<br> , what is cos(x – 3x)?
    5·1 answer
  • Write the equation of the circle graphed below
    11·1 answer
  • What's the temperature on each thermometer?
    6·1 answer
  • Which graph represents a function? HELP ITS TIMED
    12·2 answers
  • What is the next number sequence after 459?
    5·1 answer
  • The graph of a Function f(x) is shown below:<br><br> What is the domain of f(x)?
    9·2 answers
  • A rectangular room is 9 m long and 6 m broad. Find the number of
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!