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
Elena-2011 [213]
3 years ago
8

In the figure below, m /3=73*

Mathematics
1 answer:
pickupchik [31]3 years ago
4 0

Answer:

∠1 = 73

∠2 = 107

∠4 = 107

Step-by-step explanation:

∠1 and ∠3 are vertical angles

Vertical angles are congruent

Which means that because ∠3 = 73°, ∠1 also equals 73°

∠2 and ∠3 are supplementary angles

supplementary angles add up to equal 180

Thus, ∠2 + ∠3 = 180

If ∠3 = 73° then ∠2 + 73 = 180

180 - 73 = 107

Hence, ∠2 = 107

∠2 and ∠4 are vertical angles

Like stated previously vertical angles are congruent

Which means that because ∠2 = 107°, ∠4 also equals 107°

You might be interested in
Uma pizzaria oferece em seu cardápio 12 sabores de pizza. Se um cliente pretende pedir 3 pizzas, então o número de maneiras que
Anarel [89]

Answer:

Step-by-step explanation:

Partindo do pressuposto de que você pode ter coberturas duplas e triplas do mesmo item, o cálculo é relativamente simples. Para calcular as combinações possíveis; deve-se multiplicar as coberturas disponíveis pelo número total de coberturas permitidas. Este cálculo é semelhante a como olhamos para diferentes sistemas de contagem de base. Normalmente contamos com decimais (base 10), portanto, o número de combinações, se usar 3 dígitos, seria calculado por 10 x 10 x 10.

10x10 = 100

100x10 = 1000 combinações (0 a 999)

Sua pergunta sobre coberturas de pizza é a mesma, mas assumindo um sistema de numeração de base 12, então 12x12x12 ou 12³

Portanto, 1.728 combinações incluindo 0 (sem coberturas?) E também incluindo 12 ocasiões em que todas as 3 coberturas seriam iguais. Se esses cenários de pessoas forem restritos de modo que você só possa ter coberturas duplas máximas, etc., então essas combinações devem ser removidas (subtraídas do total de combinações permitidas).

Espero ter ajudado você a entender os princípios, então você deve ser capaz de trabalhar a partir disso, de muitas outras soluções semelhantes

6 0
3 years ago
How many solutions does the following equation have?<br><br> x + 9 - 4x = -3x -3
Mariulka [41]
Simplify
-3x + 9 = -3x - 3
Subtract 9 (both sides)
-3x = -3x - 12
Add 3x to both sides
0 = -12, this cannot be true

Answer: no solution
4 0
3 years ago
A man is distributing his coin collection with 35 coins to his five grandchildren. How many ways are there to distribute the coi
Musya8 [376]

Answer:

a) 82251

b) 2.91038 \cdot 10^{24}

c) 1

d) 3.17746\cdot 10^{21}

Step-by-step explanation:

a) If the coins are all the same, we have a combination of 35 identical coins in 5 persons.

The amount of combinations is

\binom{n+r-1}{r-1}=\binom{35+5-1}{5-1}=\binom{39}{4}=\frac{39!}{4!35!} =82251

being n the number of coins and r the number of grandchildren.

b) If the coins are different, the number of combinations can be calculated as:

r^n=5^{35}=2.91038 \cdot 10^{24}

c) If the coins are all the same, and each grandchild gets the same number of coins, there is only one combination for that (everyone gets 35/5=7 coins)

d)  If the coins are all distinct, but each of the grandchildren get the same numer of coins, the expression to calculate this is:

\frac{n!}{(n/r)!^r} =\frac{35!}{(35/5)!^5}=\frac{35!}{7!^5}=\frac{1.03331\cdot 10^{40}}{3.25202\cdot 10^{18}} =3.17746\cdot 10^{21}

3 0
3 years ago
0.08 was rounded to 1 significant figure. What is the lower bound?
Black_prince [1.1K]
I believe the answer is 0.9 because a significant figure is a similar difference
7 0
3 years ago
Read 2 more answers
Plz help..................refresh page before u answer
Zepler [3.9K]
= 3x(x^2-9)
= 3x(x+3)(x-3)

answer is B. second choice
7 0
3 years ago
Other questions:
  • Start off by building a basic coaster! Build a polynomial that: has an -intercept at x = 500. rises to a maximum, falls as it cr
    10·2 answers
  • The number preceding each line identifies the scale size of the font. Do NOT round your answer. Enter all digits of your answer
    10·1 answer
  • -4 is what kind of number​
    5·1 answer
  • PLEASE HELP WILL RATE BRAINLIEST!!!!!! The triangles are congruent by SSS and HL.
    14·2 answers
  • Is the following graph a function?<br><br>A. yes<br>B. no​
    5·2 answers
  • Create a list of steps in order that will solve the following equation <br>(x-5)^2=2<br><br>​
    13·1 answer
  • Can u answer this for me​
    12·1 answer
  • What values complete the table if y = x√3<br> x<br> 3<br> ?
    15·2 answers
  • Starting at 6:00 am the bus stops outside your house every 12 minutes and the taxi cab stops outside your house every 18 minutes
    9·1 answer
  • Please help me answer
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!