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
harina [27]
3 years ago
14

I need the measure of angle 6

Mathematics
1 answer:
NISA [10]3 years ago
6 0

Answer:

125°

Step-by-step explanation:

x + 24 is equal to 1.

6 is equal to 4x + 1

1 and 4x + 1 = 180°

x + 24 + 4x + 1 = 180

4x + x + 24 + 1 = 180

5x + 25 = 180

5x = 180 - 25

5x = 155

5x/5 = 155/5

x = 31

(angle) 6 = 4x + 1

(angle) 6 = 4(31) + 1

(angle) 6 = 124 + 1

(angle) 6 = 125°

You might be interested in
Which value of m satisfies the inequality 170-7m >99?
Shkiper50 [21]

Answer:

\huge  \purple{m <  \frac{71}{7} } \\

Step-by-step explanation:

170 - 7m > 99

<u>Move 170 to the right side of the inequality</u>

- 7m > 99 - 170 \\  - 7m >  - 71

<u>Divide both sides by - 7</u>

\frac{ - 7m}{ - 7}   >   \frac{ - 71}{ - 7}  \\ m >  \frac{71}{7}

Flip the signs

We have the final answer as

m <  \frac{71}{7}  \\

Hope this helps you

7 0
3 years ago
Read 2 more answers
Actual length scale factor
Effectus [21]
I think it’s 5.7 but I’m not sure
3 0
3 years ago
Read 2 more answers
In the year 1985, a house was valued at $120,000. By the year 2005, the value had appreciated exponentially to $145,000. What wa
11Alexandr11 [23.1K]

Answer:

The annual growth rate between 1985 and 2005 is 0.95%

The value of the house in the year 2010 is $152,018

Step-by-step explanation:

Let the annual growth rate = r

Value of the house in year 1985 = $120,000

Value of the house in year 2005 = $145,000

Time (t) = 2005 - 1985

            = 20 years

A = P (1 + r)^t

145000 = 120000 (1 + r) ^20

(1 +r)^20 = 145000 / 120000

(1 +r)^20= 1.2083

(1 +r)^20= (1.2083)^1/20

(1 +r)^20= 1.0095

r = 1.0095 - 1

r = 0.0095

r% = 0.0095 x 100

    = 0.95%

Value of the house in year 2010

=145000(1 + r)^5

=145000 (1 + 0.0095)^5

= 145000 x 1.0484

=$152,018

3 0
3 years ago
A bicycle Rocco wants to buy is $282. If the sales tax rate is 4% of the total price how much sales tax will Rocco pay?
attashe74 [19]

Answer:

11.28

Step-by-step explanation:

282×4%=11.28 for sales tax

282+11.28= 293.28 would be total for bike and sales tax

3 0
3 years ago
A student who is trying to write a paper for a course has a choice of two topics, A and B. If topic A is chosen, the student wil
algol13

Answer:

P(Topic A) = 0.91

P(Topic B) = 0.9163

The student should choose Topic B to maximize the probability of writing a good paper because P(Topic B)>P(Topic A).

Step-by-step explanation:

If Topic A is chosen, 2 books will be ordered (n=2)

If topic B is chosen, 4 books will be ordered (n=4)

Probability that a book arrives in time (p) = 0.7

Probability that a book does not arrive in time (q) = 1 - p = 1 - 0.7 = 0.3

We will <u>use the binomial distribution</u> to find out which topic should the student choose to maximize the probability of writing a good paper. The binomial distribution formula is:

P(X=x) = ⁿCˣ pˣ qⁿ⁻ˣ

where p = probability of success

           q = probability of failure

           n = total no. of trials

           x = no. of successful trials

For Topic A, n = 2, p=0.7 and q=0.3. If topic A is chosen, the student will use at least half the books i.e. he will use either 1 or 2 books. So,

P(Topic A) = P(X=1) + P(X=2)

                 =²C₁ (0.7)¹(0.3)²⁻¹ + ²C₂ (0.7)²(0.3)²⁻²

                 = 0.42 + 0.49

P(Topic A) = 0.91

For topic B, n=4, p=0.7 and q=0.3. If topic B is chosen, the student will choose 2 or more books i.e. 2, 3 or 4 books.

P(Topic B) = P(X=2) + P(X=3) + P(X=4)

                  = ⁴C₂ (0.7)²(0.3)⁴⁻² + ⁴C₃ (0.7)³(0.3)⁴⁻³ + ⁴C₄ (0.7)⁴(0.3)⁴⁻⁴

                  = 0.2646 + 0.4116 + 0.2401

P(Topic B) = 0.9163

The student should choose Topic B to maximize the probability of writing a good paper because P(Topic B)>P(Topic A) as calculated above.

3 0
3 years ago
Other questions:
  • the population of Linton is 12 times as great as the population of Elmore the combined population of both towns is Mount de Sale
    7·1 answer
  • There are 63 counters in total the total numvers of counters in box A and box B in 36
    14·1 answer
  • Southern bank has 2 types of avcounts both accounts pay compound interest everyday saver account interest 2.4% per annum 1234 ac
    7·1 answer
  • Evaluate the function to find three points f(0)=
    15·1 answer
  • There are a total of 64 students in a drama club and a yearbook club. The drama club has 14 more students than the yearbook club
    12·1 answer
  • Please help with this problem!
    5·1 answer
  • Can someone plz help me it is timed ill give Brainliest if it is correct
    12·1 answer
  • William solved the equation 5 + 14a = 9a - 5, but he is not sure he solved it correctly. His work is shown below. Did he solve i
    8·2 answers
  • Solve each equation.)<br><br> 9+t=35
    12·2 answers
  • What is the first step in solving In(x - 1) = In6 - Inx for x?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!