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
lianna [129]
3 years ago
8

B(3x -4) A(9x + 17) C(6x -31) solve for angle A​

Mathematics
1 answer:
myrzilka [38]3 years ago
5 0

Answer:

Angle A=116\°

Step-by-step explanation:

Given:

Three angles of a triangle ABC.

A(9x+17)\\B(3x-4)\\C(6x-31)

Angle sum of a triangle is always = 180°

∴ A+B+C=180\°

Plugging in values of A,B \ and\ C

(9x+17)+(3x-4)+(6x-31)=180

Combining like terms.

9x+3x+6x+17-4-31=180

18x-18=180

Adding 18 both sides.

18x-18+18=180+18

18x=198

Dividing both sides by 18.

\frac{18x}{18}=\frac{198}{18}

∴ x=11

Angle A=9x+17

Plugging in value of x

Angle A=9(11)+17

Angle A=99+17

Angle A=116\°

You might be interested in
A building contractor examined 6 floor joists in a home and found that they had the following widths:
miss Akunina [59]

Answer:

Step-by-step explanation:8 inches

89 is the answe 89

8 0
3 years ago
You have two jobs. Babysitting pays $5. Per hour. Mowing pays $6.00 per hour. You can work no more no more than 20 hours each we
FrozenT [24]
Five times 12 is 60 and Six times five us 30 add them up you get 90 dollar when you work 17 hours between to Jobs
8 0
4 years ago
The slope of a line is -1/3. Find the slope of a line that is perpendicular to this line. Help please, correct answers and an co
Licemer1 [7]

Answer:

slope = 3

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m}

Given m = - \frac{1}{3}, then

m_{perpendicular} = - \frac{1}{-\frac{1}{3} }  = 3

6 0
4 years ago
A farmer builds a fence for his chickens in the shape
MrRa [10]

Answer:

The highway fence cost $600.

Step-by-step explanation:

Since the highway fence is twice as cost as the one of the other 4 sides, this means that the highway fence = 2 normal fence.

Therefore, we use

$1800 / highway fence(2 normal fence) + 4 normal fence

$1800 / (2 + 4) = $300

This means that every normal fence cost $300.

Which then we get the highway fence is $600 because it costs double of the normal fence.

6 0
3 years ago
Prove that there are infinitely many primes of the form 4k + 3, where k is a non-negative integer. [Hint: Suppose that there are
Simora [160]

Answer:

The prove is as given below

Step-by-step explanation:

Suppose there are only finitely many primes of the form 4k + 3, say {p1, . . . , pk}. Let P denote their product.

Suppose k is even. Then P ≅ 3^k (mod 4) = 9^k/2 (mod 4) = 1 (mod 4).

ThenP + 2 ≅3 (mod 4), has to have a prime factor of the form 4k + 3. But pₓ≠P + 2 for all 1 ≤ i ≤ k as pₓ| P and pₓ≠2. This is a contradiction.

Suppose k is odd. Then P ≅ 3^k (mod 4) = 9^k/2 (mod 4) = 1 (mod 4).

Then P + 4 ≅3 (mod 4), has to have a prime factor of the form 4k + 3. But pₓ≠P + 4 for all 1 ≤ i ≤ k as pₓ| P and pₓ≠4. This is a contradiction.

So this indicates that there are infinite prime numbers of the form 4k+3.

6 0
3 years ago
Read 2 more answers
Other questions:
  • What’s the awnser? ILL GIVE BRAINLIST
    6·1 answer
  • How to identify the slope of the line that passes through the given points 4,4 and -2,-3?
    10·1 answer
  • A bakery offers a small circular cake with a diameter of 6 inches. It also offers a large circular cake with a diameter of 18 in
    9·1 answer
  • If (x-2) is a factor of x^3+kx^2 +12x-8 then k=?
    8·1 answer
  • What is domain and range
    14·2 answers
  • WORTH 100 POINTS!!
    10·1 answer
  • Hi there can anyone help me out with this please please please
    8·1 answer
  • Why is finding the sum in math so important?
    11·1 answer
  • Hii I need help and if someone doesn’t mind to explain why too
    11·1 answer
  • ASAp<br><br> Combine like terms.<br><br> 9p + 12 + 7p – 3
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!