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
eimsori [14]
2 years ago
13

The angles shown above form a linear pair. Show all of your work for full credit.

Mathematics
1 answer:
Akimi4 [234]2 years ago
7 0

Answer:

A. (4n + 22) + (8n - 10) = 180

B. n = 14

C. 78° and 102°

Step-by-step explanation:

A. The relationship between the two angles that are a linear pair is: their sum gives us 180°. That is:

(4n + 22) + (8n - 10) = 180

B. (4n + 22) + (8n - 10) = 180

Solve for n.

4n + 22 + 8n - 10 = 180

Collect like terms

12n + 12 = 180

Subtract 12 from both sides

12n + 12 - 12 = 180 - 12

12n = 168

Divide both sides by 12

\frac{12n}{12} = \frac{168}{12}

n = 14

C. Plug in the value of 14 to get the measurement of both angles

(4n + 22) = 4(14) + 22 = 56 + 22 = 78

(8n - 10) = 8(14) - 10 = 112 - 10 = 102

You might be interested in
OMG PLEASE DO WHAT THE INSTRUCTIONS SAY I NEED THIS RN AND IF I DONT I’LL FAIL THE CLASS ILL GIVE BRAINLIEST PLEASE ANSWER CORRE
dsp73

Answer:

01 V READING / VOCABULARY The Prophecy of the Frogs: Write a paragraph (3-4 sentences) in your notebook to explain why this animated film is a tragicomic social fable.  (Why is it a fable, why is it a social fable, why is it tragicomic).  Submit a photo of your work in TEAMS.  

6 0
3 years ago
Mateo makes 6 loaves of banana bread. He sells 2/3 of the loves of bread at the bake sale. Which expression represents how many
Lesechka [4]

Answer: 6 * 2/3

Step-by-step explanation:

7 0
3 years ago
The product of 576 and 684 is irrational or rational
umka2103 [35]

Answer: rational

Step-by-step explanation:

Definitely rational because 576 and 684 are both natural numbers

6 0
3 years ago
Read 2 more answers
Interpreting composite functions in the real world The volume of air in a balloon is represented by the function v(r)=4/3 ³, whe
adoni [48]

There are two <em>true</em> statements:

  1. When the function is composed with r, the <em>composite</em> function is V(t) = (1/48) · π · t⁶.
  2. V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.

<h3>How to use composition between two function</h3>

Let be <em>f</em> and <em>g</em> two functions, there is a composition of <em>f</em> with respect to <em>g</em> when the domain of <em>f</em> is equal to the range of <em>g</em>. In this question, the <em>domain</em> variable of the function V(r) is replaced by substitution.

If we know that V(r) = (4/3) · π · r³ and r(t) = (1/4) · t², then the composite function is:

V(t) = (4/3) · π · [(1/4) · t²]³

V(t) = (4/3) · π · (1/64) · t⁶

V(t) = (1/48) · π · t⁶

There are two <em>true</em> statements:

  1. When the function is composed with r, the <em>composite</em> function is V(t) = (1/48) · π · t⁶.
  2. V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.

To learn on composition between functions: brainly.com/question/12007574

#SPJ1

7 0
2 years ago
Why does a y-intercept not count as a zero?
Genrish500 [490]

Answer:

It only counts as a zero when the y-intercept is (0,0).

Step-by-step explanation:

The zeros of a quadratic function are always written as (x,0), while the y-intercept is always written as (0,y). Therefore, in order for a y-intercept to be a zero, it must be (0,0), because the y-coordinate in any zero is 0. At any other time, the y-intercept is not a zero.

7 0
3 years ago
Other questions:
  • The links of the legs of a right triangle are 9 cm and 12 cm what is the length of a hypo hypotenuse
    6·2 answers
  • My recipe makes 12 servings of soup, but I’ll only need 2 servings. What will I multiply each ingredient amount by to make just
    8·1 answer
  • a rectangle has a length of 5 yards and a width of 3 yards. what is its perimeter? explain your answer
    14·2 answers
  • 89 more than the quotient of an unknown number and 62 is 94
    9·1 answer
  • Helppppppppppppppppppppppppp
    11·2 answers
  • daniel y sus amigos van a un parque de diversiones para subirse a la bola de fuego q cuesta $5 y a los carros chocones q cuestan
    13·1 answer
  • A square pyramid has a base with a total area of 144m^2 and a volume of 384m^3, what is the slant height of the pyramid?
    5·1 answer
  • Please answer the question, i took a picture of it.
    10·2 answers
  • En una prueba de duración para determinar la vida útil de un nuevo tipo de lámpara lanzada al mercado, los datos de la muestra s
    14·1 answer
  • Find the equation of a circle given only its diameter endpoints: (-2,1) and (6,-7)
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!