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Crank
3 years ago
7

What is the value of k?​

Mathematics
2 answers:
iragen [17]3 years ago
8 0

Answer:

(4k+5)+ (6k+10) = 115

Exterior angle of a triangle is equal to the sum of two opposite interior angles

10k=15=115

10k= 100

k = 100/10

k = 10

Step-by-step explanation:

REY [17]3 years ago
8 0

Answer:

k = 10

Step-by-step explanation:

The 3rd angle that's not defined in the equation is supplementary to 115, so the angle is 180-115 = 65.

We can solve for the equation 65+(4k+5)+(6k+10)=180 -> 65+4k+5+6k+10=180 -> 10k+80 = 180 -> 10k = 100 -> k = 10.

To double-check(optional), we can plug k back into the equation, so 65 + 4*10 + 5 + 6*10 + 10 = 180 -> 100 + 65 + 5 + 10 = 180 -> 180 = 180, so we can confirm that k = 10.

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Is it possible for a simple, connected graph that has n vertices all of different degrees? Explain why or why not.
ryzh [129]

Answer:

It isn't possible.

Step-by-step explanation:

Let G be a graph with n vertices. There are n possible degrees: 0,1,...,n-1.

Observe that a graph can not contain a vertice with degree n-1 and a vertice with degree 0 because if one of the vertices has degree n-1 means that this vertice is adjacent to all others vertices, then the other vertices has at least degree 1.

Then there are n vertices and n-1 possible degrees. By the pigeon principle there are two vertices that have the same degree.

8 0
3 years ago
Worth 20 points, please help and give good answers than you(will mark brainlest)
nalin [4]

Answer:

B

Step-by-step explanation:

all you need is to solve the first term

2x² - (-3x²) = 5x² ,

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4 0
3 years ago
Read 2 more answers
Which of the following rules describes the function graphed below?
lora16 [44]

Answer: Output = 8 − Input

Step-by-step explanation:

do 8 - each input value and you will get the output value

4 0
3 years ago
What is 43,000 in scientific notation?
ki77a [65]
43,000 in scientific notation is 4.3 x 10^4
6 0
3 years ago
If 2/3 of a number is 10, then what is 0.15 times of that number?
maksim [4K]

Answer:

  • d) 2.25

Step-by-step explanation:

Let the number is x.

<u>2/3 of a number is 10:</u>

  • 2/3x = 10
  • x = 3*10/2 = 15

<u>0.15 times of the number is:</u>

  • 15*0.15 = 2.25

Correct choice is d

7 0
2 years ago
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