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
const2013 [10]
3 years ago
9

The m∠B is two more than three times the measure of ∠C. If ∠B and ∠C are complementary angles, find the measures of both angles.

Mathematics
1 answer:
allsm [11]3 years ago
7 0

Answer:

B = 68°  and  C = 22°

Step-by-step explanation:

Let angle B's measure be B and angle C's measure be C.

Also note that complementary means that they sum to 90.

Now:

<u>The m∠B is two more than three times the measure of ∠C:</u>

we can write:

B = 3C + 2

<u>If ∠B and ∠C are complementary angles:</u>

B + C = 90

Putting 1st equation in 2nd, we get:

B + C = 90

3C + 2 + C = 90

4C = 90 - 2

4C = 88

C = 88/4 = 22

Now B = 3C + 2, so

B = 3(22) + 2 = 68

Hence, B = 68 degrees and C = 22 degrees

You might be interested in
Observa los puntajes de las respuestas de una evaluación que tuvo de 100 preguntas. Si Alfredo contestó correctamente 57 pregunt
n200080 [17]

La pregunta está incompleta:

Observa los puntajes de las respuestas de una evaluación que tuvo de 100 preguntas. Si Alfredo contestó correctamente 57 preguntas, 16 incorrectas y el resto las dejó en blanco, ¿qué puntuación obtuvo en la evaluación?

Puntos por respuesta:

Correctas: 4

En blanco: -1

Incorrectas: -3

Answer:

Alfredo obtuvo una puntuación de 153.

Step-by-step explanation:

De acuerdo a la información proporcionada, conoces el número de preguntas en la evaluación y el número de preguntas que Alfredo contestó de forma correcta e incorrecta y tienes que restar estas del total de preguntas para encontrar el número de preguntas que dejó en blanco:

100-57-16=27

Ahora, debes multiplicar el número de respuestas correctas, incorrectas y en blanco por su respectivo puntaje:

Correctas: 57*4=228

En blanco: 27*(-1)=-27

Incorrectas: 16*(-3)=-48

Finalmente, debes sumar los resultados obtenidos por cada tipo de respuesta:

228+(-27)+(-48)= 228-27-48=153

De acuerdo a esto, la respuesta es que Alfredo obtuvo una puntuación de 153.

4 0
3 years ago
Which Quadrant does the point (-3, 4) belong to? A. Quadrant I B. Quadrant II C. Quadrant III D. Quadrant IV
lubasha [3.4K]
We need a graph or picture then I can answer
7 0
2 years ago
Read 2 more answers
Someone pls help me !
oksian1 [2.3K]
The correct anser is 1 and only 1
3 0
3 years ago
Noah's hot chocolate is too hot so he adds 50 mL of 10 degrees Celsius milk to his 150mL mug of hot chocolate that was originall
spin [16.1K]
Wouldn't it be 80 degrees since the milk was supposed to cool it down you would have to subtract 50 from 150 and 10 from 90
4 0
3 years ago
When solving a quadratic in the form a x squared + b x + c = 0 we are really finding the x–intercepts. These x–intercepts are al
babymother [125]
C. Zeros
This is because you plug 0 into X to get the Y answer which is your x-intercept
8 0
3 years ago
Other questions:
  • Micheal has a sink that is shaped like a half-sphere. The sink has a volume of 3000/3π in^3. One day, his sink is clogged. He ha
    14·1 answer
  • If x &gt; 0, then the expression ((x^3)^-2)^5 is equivalent to
    12·1 answer
  • The graph of which function(s) will contain the point (4, 12)? y = x + 8 y = 3x y = 2x y = x + 6
    14·1 answer
  • How many wooden signs can be painted with one gallon of paint?Between what two numbers does the answer lie?
    9·1 answer
  • A club began with 3 members. Each month, each member brought one new
    10·1 answer
  • What is 4/7 of 70 apples
    8·1 answer
  • Jaylen and six of her younger siblings have ages that are consecutive. When they moved from San Francisco to Chicago, their ages
    8·1 answer
  • Malia found the margin of error for the percent of lengths of 100 willow leaves greater than 5 cm. If she increases her sample t
    13·1 answer
  • Help me please help. ........................​
    8·1 answer
  • Hey, me again I NEED HELP ASAP!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!