What’s the value of k?

Whats The Value Of K?

Answers

Answer 1

Answer: k = 5°

Step-by-step explanation:

A triangle adds up to 180°. Therefore, the equation is 115 + (4k + 5) + (6k + 10) = 180.Remove the parenthesis and combine the like terms. 115 + 5 + 10 = 130 and 4k + 6k = 10k. The equation simplifies to 130 + 10k = 180.Subtract 130 on both sides. 10k = 50Divide by 10 on both sides. k = 5
Answer 2

Answer:

The value of k is 10°

Step-by-step explanation:

Assuming that straight line is 180°. First, you have to find the angle of ZYX by subtracting 115° from 180° :

∠ZYX = 180° - 115° = 65°

Given that total angles in a triangle is 180°. So you have to add up all the angles in the triangle in terms of k :

∠XZY + ∠ZYX + ∠ZXY = 180°

4k + 5 + 65 + 6k + 10 = 180

10k + 80 = 180

10k = 180 - 80

10k = 100

k = 100 ÷ 10

k = 10


Related Questions

What is the zero of 2x + 3y = 12

Answers

Answer:

6

Step-by-step explanation:

2x=-3y+12

x=-3/2x+6

6 is zero

Answer:

x/the zero=6

Step-by-step explanation:

Make the y zero

2x+3(0)=12

Hope this helps please mark me Brainiest

then you're left with 2x=12

dived from both sides

x=6

It cost Jocelyn $5.60 to send 56 text messages. How much would it cost to send 198 text messages?

Answers

I’m pretty sure the answer is 1,108.8 if it’s wrong my bad

There are 28 butterflies in the garden. Some are blue and some are yellow. If b represents the number of blue butterflies in the garden, which expression represents the number of yellow butterflies in the garden?

Answers

Answer:

y = 28 - b

Step-by-step explanation:

you can find the number of yellow butterflies, y, by subtracting the number of blue butterflies, b, from the total number of butterflies which is 28.

solve please: 40=8d​

Answers

Step-by-step explanation:

: 40=8d

divide both sides by 8

40/8=8d/8

d=5

[tex]\textsf{Hey there!}[/tex]

[tex]\textsf{40 = 8d}[/tex]

[tex]\textsf{FIRST \& LAST step: DIVIDE by 8 on both of your sides}[/tex]

[tex]\mathsf{\dfrac{40}{8} = \dfrac{8d}{8}}[/tex]

[tex]\mathsf{CANCEL\ out: \dfrac{8}{8}\ because\ it\ gives\ you\ 1}[/tex]

[tex]\mathsf{KEEP: \dfrac{40}{8}\ because\ that\ helps\ us\ solve\ for\ \bf{d} \textsf{ \ or \ answers\ d}}[/tex]

[tex]\mathsf{\underline{\dfrac{40}{8} = 40\div8 \rightarrow 5}}[/tex]

[tex]\mathsf{Answer}[/tex]

[tex]\textsf{\bf{d = 5}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

4. A train traveled 300 miles in 2.5 hours. At this rate, how far would the train travel in 9 hours?
HELP PLEASE✨❤️

Answers

Answer:

300 miles in 2.5 hours

divide 300 by 2.5

120 miles per hour

120 x 9 = 1080

Step-by-step explanation:

What is the measure of angle TRV? 20° 50° 60° 130°

Answers

Answer: 130

Step-by-step explanation:

Answer: 130 (D)

What is the measure of angle TRV?

Four boys, Kurt, Marcus, Nathaniel, and Steven, all collect baseball cards. They recently met to show each other some of the cards they had collected. Each boy brought a different amount of cards with them. Nathaniel brought twice as many as Steven, Marcus had four less than Nathaniel, but one more than Kurt. All together, they have 47 cars. How many cars did Kurt bring?

Answers

Steven's cards = x

Nathaniel's cards = 2x

Marcus' cards = 2x - 4

Kurt's cards = 2x - 5

Since the sum of the cards is equal to 47, let's set all the cards equal to 47

x + 2x + 2x - 4 + 2x - 5 = 47

Combine like terms.

7x - 9 = 47

Add 9 to both sides

7x = 56

Divide both sides by 7

x = 8

Let's plug 8 into x for Kurt's cards.

Kurt's cards = 2x - 5 = 2(8) - 5 = 16 - 5 = 11 cards.

Austin started with 26 video games and sold x video games. Caleb started with 40 video games and sold three times as many video games as Austin did. How many video games did Austin sell, given they had the same number of video games left?

Answers

Answer:

The answer is 7 video games

Step-by-step explanation:

The number of video games Austin sold will be 4.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Austin started with 26 video games and sold x video games. Caleb started with 40 video games and sold three times as many video games as Austin did.

Let x be the number of video games sold and y be the number of video games left. Then the equations will be

y = 26 - x

y = 40 - 3x

From equations 1 and 2, then we have

26 - x = 40 - 3x

3x - x = 40 - 26

2x = 14

x = 4

The number of video games Austin sold will be 4.

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2.)Solve for Y
3.)Solve for G
5.)Solve for B
6.)Solve for D

Answers

2. Y=x/5
3. G= f/h
5. B= m/f
6. D=b/8
I hope these are right for you

Answer:

See below

Step-by-step explanation:

2) x =5y  Solve for y

Divide both sides by y

x/5 = y

3) f/g = h Solve for G

Multiply both sides by g

(g/1) f/g =h(g)

f =hg

Divide by h

f/h = g

5) bf = m  Solve for b

divide both sides by f

bf/f = m/f

b = m/f

6) 8 = b/d   solve for d

Multiply both sides by d

8 ( d) = b

Divide by 8

d = b/8

The midpoint of AB is M(1, -1). If the coordinates of A are (7,-4), what are the
coordinates of B?

Answers

Answer:

work is attached and shown

need help asap !!!!!!!!

Answers

Answer:with what I could help

Step-by-step explanation:

An active sphagnum bog deposits a depth of about 1
metre of peat per 1000 years. Roughly how many millimetres is that per
day?

A) 0.0003
B) 0.003
C) 0.03
D) 0.3
E) 3​

Answers

Answer:

  B) 0.003

Step-by-step explanation:

1 meter per 1000 years is 1 mm per year, so 1/365 mm per day.

  1/365 mm/day ≈ 0.00274 mm/day ≈ 0.003 mm/day

Answer:

B) 0.003

Step-by-step explanation:

You have $60 and your sister has $120. You are saving $7 per week and your sister is saving $5 per week. How long will it be before you and your sister have the same amount of money?

Answers

Answer:

27 weeks

Step-by-step explanation:

Solve the system of linear equations by elimination. 12x - 7y = -2 8x + 11y = 30​

Answers

Answers: (y = 2) and (x = 1)

Steps:

The solutions for the the system of equations are given as x = 1 and  y = 2 respectively.

What is a system of linear equations?

A system of linear equations is a group of equations having same number of variables and degree.

For the n number of variables n number of equations are required.

On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.

The given system of linear equations are as follows,

12x - 7y = -2          (1)

8x + 11y = 30​         (2)

In order to solve by elimination, multiply equation (1) by 2 and (2) by 3 and then subtract to obtain,

2(12x - 7y) - 3(8x + 11y) = 2 × -2 - 3 × 30  

=> -14y - 33y = -94

=> -47y = -94

=> y = 2

Substitute y = 2 in equation (1) to get,

12x - 7 × 2 = -2  

=> 12x = -2 + 14

=> x = 12/12 = 1

Hence, the given system of linear equations is solved by elimination to give x = 1 and  y = 2 respectively.

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What is the value of C-F​

Answers

Answer:

The sweat chloride reference value is less than 30 mmol/L. A value of more than 60 mmol/L of chloride in the sweat is consistent with a diagnosis of cystic fibrosis. The values of 30-60 mEq/L may represent heterozygous carriers, these carriers cannot be accurately identified with a sweat chloride test.

Lines DE and AB intersect at point C.
What is the value of x?

Answers

Answer:

25

Step-by-step explanation:

[tex](2x + 2) +( 5x + 3) = 7x + 5 = 180 \\ 7x = 175 \\ x = 25[/tex]

Answer:

25

Step-by-step explanation:

2x+2+5x+3=180

7x+5=180

7x=175

x=25

HEY GUYS PLEASE HELP JUST LABEL THEM 1 2 3 and tell me true or false

Answers

1) true ?
2) false
3) true

How can u tell that 7.360 and 7.36 are equivalent decimals

Answers

Answer:

You can tell 7.360 and 7.36 are equivalent decimals because when you put a zero in the decimal places, it doesn't count as a number and it doesn't have a value. In conclusion, zero is just a placeholder. Therefore, if you have the zero or not it doesn't matter.

2 and 3 fiths times 5/6 express youre answer in the simplist form

Answers

Answer:

2 and 1/6, hope this helps :)

Felipe earns $9 per hour for helping his grandmother with her yard work. Write and solve a multiplication equation to find how many hours he must help his grandmother I’m order to earn $54

Answers

Answer:

Felipe work for 6 hours to earn $54

Step-by-step explanation:

I guess I was help full for u

plz follow me for more updates

An automobile travels 471 miles in 8 hours.
183
What is the average speed of the automobile to the nearest mile per hour?

Answers

58.875/mph but rounded to the nearest mph would be 59/mph


Because if they traveled 471 miles within 8 hours you would divide. 471 divided by 8=59

6. A student driver travels at a speed of 3km/h for an hour and a half. What
distance does it travel?

Answers

Answer:

4.5 km

Step-by-step explanation:

3km times 1 = 3 and then 3km times .5 = 1.5

3+1.5= 4.5

Mrs. Owens laid carpet in a rectangular room 12 ft by 15 ft
About how much carpet did she buy?
A 27 sq ft
B. 180 sq ft
C 54 sq ft
D. 45 sq ft
E 160 sq ft

Answers

Answer:

180 sq ft

Step-by-step explanation:

12 x 15 = 180

The total amount of carpet Mrs. Ownes bought for her rectangular room of 12 ft by 15 ft is 180 sq ft.

What is the area of a rectangle?

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

A=a\times b

Here, (a)is the length of the rectangle and (b) is the width of the rectangle

Mrs. Owens laid carpet in a rectangular room, 12 ft by 15 ft. Here, the length of the rectangular carpet for the room should be 15 ft and width should be 12 ft.

Thus, the area of the carpet is,

[tex]A=15\times12\\A=180\rm\; ft^2[/tex]

Thus, the total amount of carpet Mrs. Ownes bought for her rectangular room of 12 ft by 15 ft is 180 sq ft.

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Can someone please help me (it’s question 15)

Answers

Answer:

C

Step-by-step explanation:

-2(4x + -4) - 3x - 2 =34

Answers

Answer:

x = -28/11

Step-by-step explanation:

-2(4x + -4) - 3x - 2 =34

Distribute

-8x+8 -3x-2 =34

Combine like terms

-11x +6 = 34

Subtract 6 from each side

-11x+6-6 = 34-6

-11x = 28

Divide each side by -11

-11x/-11 = 28/-11

x = -28/11

Answer:

x= -28/11

Step-by-step explanation:

Multiply -2 by 4x +4

That equals -8x+8

So the equation is now

-8x+8+3x -2 = 34

Now combine  like terms

11x+6=34

Subtract 6 from both sides

11x=28

divide by 11 on both sides

x =  -28/11

solve for the equation 2x+9=3x

Answers

The answer for the equation is x=9 hope this helps

How do you solve this ? Please !!!

Answers

Answer:

m[tex] \angle[/tex]6 = 68°

Step-by-step explanation:

From the question all the angles are on a a straight line which means the sum of their angles is 180 and one of the angles is 90°

So to find m [tex] \angle[/tex] 6 , add

m [tex] \angle[/tex] 5 and 90 and subtract the result from 180°

That's

m[tex] \angle[/tex]5 + m[tex] \angle[/tex]6 + 90 = 180

m[tex] \angle[/tex]6 = 180 - 90 - m[tex] \angle[/tex]5

m[tex] \angle[/tex]6 = 180 - 90 - 22

We have the final answer as

m[tex] \angle[/tex]6 = 68°

Hope this helps you

In the question, a lines & angles diagram is provided, and we can see three angles labelled here. The angles are angle 5, angle 6 and a 90°.

GiveN,

Angle 5 = 22°One of them is 90°

We have to find the measure of the missing angle 6...

All the three angles are lying on a staright line, so their collective measure or the sum of these 3 angles is equals to 180°.

➝ Angle 5 + Angle 6 + 90° = 180°

➝ 22° + Angle 6 + 90° = 180°

➝ Angle 6 + 112° = 180°

➝ Angle 6 = 68°

So, the measure of Angle 6:

[tex] \huge{ \boxed{ \bf{68 \degree}}}[/tex]

And we are done !!

#CarryOnLearning

━━━━━━━━━━━━━━━━━━━━

Rewrite in simplest terms: -9(5s – 6) + 9s

Answers

-36s+54 i hope that was helpful

the answer is  -36+54

I used a exponet calculator

Expand each expressions and combine like terms if possible
-12(5/6x - 5) + 2x​

Answers

Answer:

The answer is

60 - 8x

Step-by-step explanation:

[tex] - 12( \frac{5}{6} x - 5) + 2x[/tex]

Using FOIL multiply the terms in the bracket

That's

[tex] - 12( \frac{5}{6} x) + 12(5) + 2x \\ \rarr \: \: - 10x + 60 + 2x[/tex]

Group like terms

That's

[tex]60 + 2x - 10x[/tex]

We have the final answer as

60 - 8x

Hope this helps you

Evaluate -Z + 7.49 for Z = -7.1

Answers

14.59

To solve, simply plug -7.1 into -Z. Since Z is negative in the equation, it will turn the Z that’s given to us into a negative. Since that Z is already negative, it will now become a positive since that’s what two negatives being multiplied make. This is what your problem will look like:

-(-7.1) + 7.49
7.1 + 7.49 = 14.59
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