What is the value of k? Please provide an explanation, thanks!!

What Is The Value Of K? Please Provide An Explanation, Thanks!!

Answers

Answer 1

Answer: k = 19

because (6k+31)°  is the outer angle of the triangle

=> (6k+31)° = (3k - 12)° + (6k - 14)°

⇔ 6k + 31 = 9k - 26

⇔ 9k - 6k = 31 + 26

⇔ 3k = 57

⇔ k = 57/3 = 19

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:Answer: k = 19

because (6k+31)° is the outer angle of the triangle

=> (6k+31)° = (3k - 12)° + (6k - 14)°

⇔ 6k + 31 = 9k - 26

⇔ 9k - 6k = 31 + 26

⇔ 3k = 57

⇔ k = 57/3 = 19

Step-by-step explanation:


Related Questions

A printer can print 12 color pages in 3 minutes.
How many color pages can the printer print in 9
minutes?

Answers

Answer:

36

Step-by-step explanation:

12/3 = 4 pages per minute

4*9 = 36

Answer:

36

Step-by-step explanation:

12*3=36

A pilot takes a taxi from the airport and the hotel. The taxi driver charges a $2.50 fee plus $2.65 per mile. Write an equation that can be used to find y, the total cost of the trip, if x represents the number of miles on the trip.

Answers

Answer:

2.50 + 2.65x = y

Step-by-step explanation:

The 2.50 fee won't change but the price per mile will, each mile will cost $2.65 more. And since we don't know how many miles the plot is taking, $2.65x. Then the total cost is y

Answer:

Step-by-step explanation: if the 2.50 is staying the same, then the answer is y=2.50x + 2.65

Una recta que pasa por los puntos A (2,1) y B (6,3) y otra recta pasa por A y por el punto (0,y) ¿Cuánto vale y, si ambas rectas son perpendiculares?

Answers

The translation of the question given is

A line that passes through the points A (2,1) and B (6,3) and another line passes through A and through the point (0, y). What is y worth, if both lines are perpendicular?

Answer:

y = 5

Step-by-step explanation:

Line 1 that passes through A (2,1) and B (6,3)  

Slope (m1) = 3-1/6-2 = 2/4 = 1/2

y - 1 = [tex]\frac{1}{2}[/tex] ( x -2)

2y - 2 = x- 2

y = [tex]\frac{x}{2}[/tex]

Line 2 passes through A (2,1) and (0,y)

slope (m2) =[tex]\frac{y-1}{-2}[/tex]

Line 1 and Line 2  are perpendicular

m1*m2 = -1

[tex]\frac{1}{2}[/tex]  * [tex]\frac{y-1}{-2}[/tex] = -1

y-1 = 4

y = 5

slope = -2

Equation of Line 2

Y-1 = -2(x-2)

y -1 = -2x +4

2x +y = 5

Gcf of 80x^3 and 30yx^2

Answers

The answer is 30xy3 2 +1
Answer:
10x^2
That's what I got

T is 375 miles from San Francisco to Los Angeles. On a map of California, the scale shows that 2 centimeters equals 10 actual miles. How far apart on the map are the two cities?

Answers

Answer:

75 cm

Step-by-step explanation:

the ratio of centimeter to miles is 2:10 or 1:5 (1 cm = 5 mi)

this ratio can be changed to a fraction (1/5)

so now we can set up this equation:

(1/5) = (x/375)

where x = cm on the map

if it makes it easier to understand:

(1cm/5mi) = (xcm/375mi)

now we solve for x:

375(1/5) = x

x = 375/5

x = 75 cm

f(x)=3x+12 and g(x)=4x-8 find h(x)=f(x)+g

Answers

Sorry yyyyyyyyyyyyyyyyyyyyy

how do I evaluate cos 4π/3?

Answers

Answer:

-1/2

Step-by-step explanation:

cos (4π/3)= cos (π+π/3)

Answer:

Step-by-step explanation:

[tex]cos (\frac{4 \pi }{3} )=cos (\pi +\frac{\pi }{3} )=-cos (\frac{\pi }{3} )=-\frac{1}{2}[/tex]

state the common difference for the given A.P.3/2,1/2,-1/2,-3/2,......​

Answers

Answer:

-1

Step-by-step explanation:

The common difference is the constant amount of change between the numbers in an arithmetic sequence.

To find the common difference, you take the last term and subtract it by the previous term.

[tex]\frac{-3}{2} - \frac{-1}{2} =-1[/tex]

6. Write the equation of the line in slope-intercept form given the following:
Point (-4,-4) and Slope of
5/4

Answers

Answer:

[tex]y=\dfrac{5}{4}x+1[/tex]

Step-by-step explanation:

Slope intercept form a equation of a line is given by the following formula:

Slope intercept form:

[tex]y=mx+c[/tex]

Given that, a point is (-4,-4)

i.e.

[tex]x=-4,\\y=-4[/tex]

Slope, [tex]m =\frac{5}{4}[/tex]

Putting the given values in the Slope intercept form equation:

[tex]-4=-4\times \dfrac{5}{4}+c\\\Rightarrow -4=-5+c\\\Rightarrow c =1[/tex]

Putting the value of [tex]c[/tex] and [tex]m[/tex] in the slope intercept form:

[tex]y=\dfrac{5}{4}x+1[/tex]

Please help me with this please

Answers

Answer: The second to last option I think

Step-by-step explanation:

Answer:i think its the The second

Step-by-step explanation:   so  look 2x6=12 and 4x2=8 so the snswers are on the right and the question is on the left holpfuly that helps

need help asap with these

Answers

Answer:

1. 6n - 15

2. x + 10

3. -4d + 15

4. true, associative property

5. distributive, commutative

Step-by-step explanation:

1. distribute 3/4 into the parentheses, so multiply 3/4 * 8 and 3/4 * -20

2. distribute the 2 into the parentheses so multiply 2 * 3x and 2 * 5, then combine like terms

3. distribute -3 into the parentheses so -3 * 4D and -3 * -5 then add like terms

4. add like terms on both sides of the equal sign and you get 10x on both sides. this is the associative property because it doesn't matter what's inside or outside the parentheses you get the same answer no matter how you add them up

5. the first part is distributive because you distributed the three into the parentheses and the second part is commutative because you switch them around and you can get the same answer

Find the volume of the cylinder. Use 3.14 as π.

Answers

Where is the question?

Is this relationship proportional?

Carrots (lb)
2 | 3 | 4
Number of carrots
23 | 33 | 43

Answers

yes it is because of the way that it is set up

Answer:

4

Step-by-step explanation:

The value of x + x(xx) when x = 2 is:

Answers

Answer:

10

Step-by-step explanation:

X+x(xx)

X+x(x^2)

X+x^3

2+2^3

10

Answer:

10.

Step-by-step explanation:

2 + 2 x (2x2)

= 2 + 2 x 4

= 2 + 8

= 10

Hope that helped, :)

The area of a rectangular door is 21 ft. Sq. The border around the door is 20 feet. What is the length and width of the door? Use the factors of 21 to help you find the area of the door first.

Answers

Answer:

Length = 7 feet, and width is 3 feet.

Step-by-step explanation:

For the given rectangular door,

area = length x width

21 = length x width ................. 1

Also,

perimeter = 2 ( length + width)

20 = 2 ( length + width)

10 = length + width ............ 1

Given that the factors of 21 are required to get the are of the door.

Then, from equation 1;

21 = 7 x 3

And from equation 2;

10 = 7 + 3

So that, the length of the door is 7 feet and its width is 3 feet.

what is what3 2/3 - 3/5 as a fraction plz give awnser

Answers

Answer:

55/15-9/15=46/15 or 3 1/15

Step-by-step explanation:

Answer:

46/15  or  3 1/5

Step-by-step explanation:

Hope this helps and have a Great Day :)

What is -3 4/9 • 5 2/5

Answers

The answer is -18 3/5

See attachment for answer.

The answer is -93/5.

Question 3 0.6 pts The following two right triangles are similar.If side CB = 33. side AB = 12, and side DE - 4. what is the length of side FE? A 12 D 4 E B F 33?​

Answers

Answer:

EF = 11

Step-by-step explanation:

AD/DE = 3

Therefore, DC/3 = EF

33/3 = 11

At which plant is the cost lowest for producing 5 radios?

Answers

Answer:

plant c is the answer to your question

Nico y Manuel llevaron sus taps a la escuela para jugar a la hora de recreo. Nico coloco sus 7 taps en el piso y guardo los demás en una bolsa ¿cuantos taps podría tener Manuel en la bolsa

Answers

Answer:

7 o más

Step-by-step explanation:

lógicamente, si el juego necesitaba 7 taps para jugar y Nico tiene más de 7 taps, entonces Miguel también debería tener 7 o más taps en su bolsa.

If anyone plays pokemon go if you do put it in your answer

Answers

Answer:

I play Pokemon Go everyday! I play Pokemon Gooooo :)

Step-by-step explanation:

Answer: My teacher does

The image below shows the download speed of three different companies. Use the information to answer the questions.

Complete questions 1-5 in order.

1) What is the download speed in MB per minute for AT&T?

2) What is the download speed in MB per minute for Bidmore?

3) What is the download speed in MB per minute for Comcast?

4) Who has the best download speed? Explain your choice.

5) All these equations show proportional relationships. Bid more's graph is shown, what would the other two graphs look like for AT&T and Comcast?
They will go through _________and be a __________line.

Answers

Answer:

1) The download speed for AT&T is 1,800

2) The download speed for Bidmore is 1,500

3) The download speed for Comcast is 1,680

4) AT&T has the best download speed out of the three.

5) They will go through the origin and be a proportional line.

Step-by-step explanation:

WHOEVER ANSWERS FIRST GETS BRAINLEST!

The number p of pennies in Jorge's bank is one fourth the number of nichels, The wokal
number of coins in the bank is 25,
Which equation could be used to find m?
n= 25
06 A-' = 25
+ 2n = 25

Answers

Answer:

C

Step-by-step explanation:

Make x the subject of h = 4(x + 3y )+ 2

Answers

Answer:

x =h-12y-2/4

Step-by-step explanation:

h = 4x +12y +2

h-12y-2=4x

thus x = h - 12y - 2 / 4

Lea solves the equation below by first squaring both sides of the equation.
3+2y=√-y
What extraneous solution does Lea obtain?
y=

Answers

Answer: IF YOU ARE ON KHAN ACADEMY THE ANSWER IS NOT -1

THE CORRECT ANSWER ON KHAN IS -9/4

For equation 3 + 2y = √(-y) the extraneous solution does Lea obtain is y = (-13 + √97) / 8 or y = (-13 - √97) / 8

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

When Lea squares both sides of the equation 3 + 2y = √(-y), she gets:

(3 + 2y)² = (-y)

Expanding the left side, we get:

9 + 12y + 4y² = -y

Bringing all the terms to one side, we get a quadratic equation:

4y² + 13y + 9 = 0

We can solve this quadratic equation using the quadratic formula:

y = (-b ± √(b² - 4ac)) / 2a

Substituting the coefficients a = 4, b = 13, and c = 9, we get:

y = (-13 ± √(13² - 4(4)(9))) / 2(4)

y = (-13 ± √97) / 8

So the solutions are:

y = (-13 + √97) / 8 or y = (-13 - √97) / 8

Hence, the extraneous solution does Lea obtain is y = (-13 + √97) / 8 or y = (-13 - √97) / 8

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ2

Consider the triangle.
Which shows the order of the angles from smallest to
largest?
A
22
12
B
angle angle B, angle C
angle B, angle A, angle C
angle B, angle C, angle A
angle C, angle A, angle B
16
С

Answers

Answer:

B. A. C. are the angle

Step-by-step explanation:

B is an acute angle a is a slightly bigger acute angle and c is a right angle. this was by me just looking at it so...

Answer:

angle AC= 12, angle CB= 16, angle BA= 22

Step-by-step explanation:

the numbers are between the angles

Plz help me answer this question

Answers

Answer: 4/5 - 2

Step-by-step explanation:

Simply put it into a graphing calculator

(Select all that are correct) which statements describe key features of function g if g(x) = f(x + 2)

a. y-intercept at (0,4)
b. domain of {x|-♾️< x <♾️}
c. horizontal asymptote of y = 0
d. horizontal asymptote of y=2
e. y-intercept at (0,1)​

Answers

Answer:

Y-intercept (0,1) / Domain (-infinite,infinite) / horizontal asymptote y=0

The y-intercept is: (0,1)

The domain is [tex]\{x|-\infty < x < \infty\}[/tex]

The horizontal asymptote is [tex]y = 0[/tex]

The given parameters from the complete question are:

[tex]f(x) = 2^{x-2}[/tex]

[tex]g(x) = f(x + 2)[/tex]

First, we calculate the function of g(x)

[tex]g(x) = f(x + 2)[/tex]

Calculate f(x + 2)

[tex]f(x) = 2^{x-2}[/tex]

[tex]f(x + 2) = 2^{x+2-2}[/tex]

[tex]f(x + 2) = 2^x[/tex]

So:

[tex]g(x) = 2^x[/tex]

Start by calculating the y intercept:

This means, we calculate the g(x) when [tex]x=0[/tex]

[tex]g(x) = 2^x[/tex]

[tex]g(0) = 2^0[/tex]

[tex]g(0) =1[/tex]

The above computation means (a) is incorrect; but (e) is correct.

Next, calculate the domain of g(x)

[tex]g(x) = 2^x[/tex]

Some features in a function that limit the x values are: roots, fractions, etc.

[tex]g(x) = 2^x[/tex] does not have any restricting value of x.

This means the value of x ranges from negative infinity to positive infinity.

Hence, the domain is: [tex](-\infty,\infty)[/tex]

The above computation means (b) is correct

Next, calculate the horizontal asymptote.

To do this, we plot the graph of g(x) --> see attachment

Then we trace a horizontal line from the horizontal part of the curve of g(x) till it gets to the y-axis.

From the attached graph of g(x), the line touches the y-axis at [tex]y = 0[/tex]

So, the horizontal asymptote is: [tex]y = 0[/tex]

Read more at:

https://brainly.com/question/8120140

Help plz nd thank you
(true or false questions)
1.) -19-2+54<12x97+-40
2.) x+1=1+x

Answers

Number one is 33 < 1118 so true and number two is infinite solutions so it would be true as well

A dolphin jumps 54 times in a 6 hour period. At this rate, how many jumps would be expected in a 2 hour period?

Answers

answer is 18
u gotta find out how many jumps per hour first so do 54/6= 9
then multiply by 2
9 x 2 = 18
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