In triangle JKL, if angle J is seven less than angle L and angle K is 21 less than twice angle L, find the measure of each angle

Answers

Answer 1

Answer:

j=45 k=83 L=52

Step-by-step explanation:

j=x-7

k=2x-21

L=x

x-7+2x-21+x=180

4x-28=180

4x=208

x=52

Answer 2

The measure of the angles are; J = 48, K = 57 and L = 75

What is linear pair?

Linear pair of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.

In order to determine the measure of these angles, we have to set J as x. then find the measure of all of these angles.

J = x

K = x + 9

L = 2x - 21

Now, we can add them all together and set equal to 180;

x + x + 9 + 2x - 21 = 180

4x - 12 = 180

4x = 192

x = 48

Now that we have;

J = x = 48

K = x + 9 = 48 + 9 = 57

L = 2x - 21 = 2(48) - 21 = 96 - 21

L = 75

Hence, The measure of the angles are; J = 48, K = 57 and L = 75

Learn more about angles;

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Related Questions

Find the next three terms of the following arithmetic sequence -2, -5, -8, -11,

Answers

Answer: -14, -17, and -20

Step-by-step explanation: Study the sequence.

Notice that each number is 3 less than the number before it.

In other words, -2 - 3 is -5, -5 - 3 is -8, and -8 - 3 is -11.

Now, if we continue with this same sequence,

-11 - 3 is -14, -14 - 3 is -17, and -17 - 3 is -20.

So the next three numbers are -14, -17, and -20.

Find the perimeter of the figure shown below.
Can you please explain how to do this?
thank you!

Answers

Answer:

P = 264m

A= 1089 m^2

Step-by-step explanation:

Need help finding the parallel and perpendicular slope

Answers

Answer:

Step-by-step explanation:

(x₁, y₁) = (19 , -4)   & (x₂ ,y₂) = (17, -20)

[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

        [tex]= \frac{-20-[-4]}{17-19}\\\\= \frac{-20+4}{17-19}\\\\= \frac{-16}{-2}\\\\= 8[/tex]

m = 8

Parallel lines have same slope.

Parallel slope = 8

Slope of perpendicular line = [tex]\frac{-1}{m}[/tex]

Perpendicular slope = [tex]\frac{-1}{8}[/tex]

don't know how to solve this question exactly i need help

what is the least number of degrees you could rotate a square around its center so that it appears to be unchanged?.​

Answers

Answer:

Does a square have rotation symmetry? Yes, a square can be rotated \begin{align*}90^\circ\end{align*} counterclockwise (or clockwise) about its center and the image will be indistinguishable from the original square.

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

If you rotate a square about its axis, in 90°, 180°, 270°, 360°, ... degrees, it looks to be the same.

Picture in question

Answers

Answer
5
Ya explanation

What is the slope of the line through (13,6) and (13,-11)

Answers

Answer:

Undefined

Step-by-step explanation:

Use the values in the table to calculate the cost of 14 t-shirts

Answers

Answer:

We need to see the problem or the values in the table.

Step-by-step explanation:

Thanks!

Pls show problem can’t solve without problem

estimate each product 19.3 × 6​

Answers

Answer: 115.8

Step-by-step explanation:

THERE IS NO EXPLANATIONNNN

Answer:

19.3 x 6 is 115.8. if you wanna round it up its 119

Step-by-step explanation:

If x = −5, which number line shows the value of |x|?

Answers

That means it would turn positive which is x=4

X+2y=-9

Solve for Y km

Answers

Answer:

y = - 1/2x - 4.5

Step-by-step explanation:

Step 1:

x + 2y = - 9         Equation

Step 2:

2y = - x - 9       Subtract x on both sides

Answer:

y = - 1/2x - 4.5             Divide 2 on both sides

Hope This Helps :)

A store is instructed by corporate headquarters to put a markup of 43​% on all items. An item costing ​$7 is displayed by the store manager at a selling price of ​$3. As an​ employee, you notice that this selling price is incorrect. Find the correct selling price. What was the​ manager's likely​ error?

Answers

Answer:

a

Step-by-step explanation:

did it

Zoe just lit a new candle and then let it burn all the way down to nothing. The length
of the candle remaining unburned, in inches, can be modeled by the equation
L = 9 – 0.5t, where t represents the number of hours since the candle was lit.
What is the y-intercept of the equation and what is its interpretation in the context of
the problem?

Answers

Answer:

9  which represents the the original length of the new candle

Step-by-step explanation:

Since there were 9 inches of candle remaining after 0 hours of burning, that means 9 represents the initial length of the candle, in inches.

HOT AIR BALLOON A balloon rises

340 feet into the air. Then it descends

130 feet

PLEASE ANSWER I REALLY NEED IT

Answers

Answer:

it is at 210 feet

Step-by-step explanation:

it rises 340 feet, then it descends 130 so we subtract 130 from 340 which gets us 210 feet.

The amounts of e-waste generated in a region during two years were 14,200,000 tons and 10,700,000 tons. What was the total e-waste generated over these two years in the region, expressed in scientific notation? (5 points)

Answers

9514 1404 393

Answer:

  2.49×10^7

Step-by-step explanation:

  14,200,000 +10,700,000 = 24,900,000 = 2.49×10,000,000

  = 2.49×10^7

_____

Your scientific or graphing calculator can tell you the sum and display it in scientific notation.

PLEASEEEE HELP!!

Find the equation of the line. Use exact numbers.

Answers

Answer:

y=-1.5x+3

Step-by-step explanation:

Eight times the difference of a number and 4

Answers

Answer:

8(n-4) click brainliest and thanks please

Need help with Brainly!!!!

Every time i type in a question i get the response.. "There aren't any matches for your search". Then i look it up on google and find the first site to be brainly with the answer, i can't use my brainly account what so ever and it's something i use daily.

Answers

Answer:

its not just you, happening to me too and i think its something wrong with brainly not us

Step-by-step explanation:

Answer:

do you have a brainly account that you look up questions on?

Step-by-step explanation:

A few other people are having this problem also.

Are these lines parallel, perpendicular, or neither? 3y=x+4 and 3x+y=1

Answers

Answer:

perpendicular

Step-by-step explanation:

3y = x + 4 in slope intercept form y = 1/3x +4/3

3x + y = 1 in slope intercept form y = -3x +1

the slopes are negative reciprocals of each other so they are perpendicular

Answer:

These lines are perpendicular

Step-by-step explanation:

3y=x+4

 [tex]y = \frac{1}{3}x+\frac{4}{3}[/tex]

Slope (m1) = 1/3

3x+y=1

     y = -3x + 1

Slope (m2) = - 3

m1 * m2 = [tex]\frac{1}{3}* -3[/tex]

             = -1

So, these lines are perpendicular.

If product of two slopes is (-1), then they are perpendicular lines.

If both lines have same slope, then they are parallel.

Can someone check this for me please?

Answers

Answer:

B. -4, -3

Step-by-step explanation:

The equation x^(2) + 7x + 12 can be factored using the AC method resulting in

( x + 4 )( x + 3 ).  So x = -4, -3. You can use foil to check.

I’m not positive but I think the answer is actually B I’m not sure tho!

what is y to the fourth power?
y=4​

Answers

Answer:

the awnser is 256

Step-by-step explanation:

It’s 256 Bc 4x4x4x4=256 and if you wanted to know easy, do 4x4=16 and 4x4 again to equal 16. After that do 16x16 to get you 256

Penny Weights, use the weights of the post 1983 pennies to construct a 98% confidence interval estimate of the standard deviation of the weights of all post-1983 pennies. S=0.0165 n=37. Find confidence interval. a. 0.01231 < Ï < 0.2111 b. 0.01239 < Ï < 0.02111 c. 0.1391 < Ï < 0.2311 d. 0.001219 < Ï < 0.002111

Answers

Answer:

c. 0.1391 < Ï < 0.2311

Step-by-step explanation:

The formula for Confidence Interval is given as:

Mean ± z × Standard deviation/√n

Z score for 98% confidence interval = 2.326

Mean = Significance level = 100% - 98%

= 2% = 0.02

Standard deviation = S=0.0165

n= 37

Hence,

Confidence Interval =

0.02 ± 2.326 × 0.0165/√37

0.02 ± 0.0063094687

Confidence Interval

0.02 - 0.0063094687

= 0.1391

0.02 ± 0.0063094687

= 0.2311

Hence, the Confidence Interval = (0.1391, 0.2311)

= c. 0.1391 < Ï < 0.2311

Questions in the picture​

Answers

Answer:

This is not a function. This is because if there are any repeating x values (the first values of each set) it is not a function. It is okay for there to be repeating y values (the second values of each set) but not x values.

Step-by-step explanation:

I am guessing the question is if this is a function.

3. What is the slope of the line that passes through (7,0) and (4, 9)?
A.) 1/3
B.) 1/3
C.) -3
D.) 3
E.) none of these

Answers

The slope is C. I took the same exact assignment you did.

A search committee is formed to find a new software engineer.
a) if 100 applicants apply for the job, how many ways are there to select a subset of 9 for a short list?
b) If 6 of the 9 are selected for an interview, how many ways are there to pick the set of people who are interviewed?
c) Based on the interveiw, the committe wil rank the top three candidates and submit the list to their boss who will make the final decision. How many ways are there to select the list from the 6 interviews?

Answers

Answer:

(a) 1,902,231,808,400

(b) 84

(c) 20

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

[tex]{n\choose k}=\frac{n!}{k!\cdot(n-k)!}[/tex]

(a)

Compute the number of ways to select 9 applicants from 100 as follows:

[tex]{100\choose 9}=\frac{100!}{9!\cdot(100-9)!}[/tex]

        [tex]=\frac{100!}{9!\times 91!}\\\\=\frac{100\times 99\times 98\times 97\times 96\times 95\times 94\times 93\times 92\times 91!}{9!\times 91!}\\\\=\frac{100\times 99\times 98\times 97\times 96\times 95\times 94\times 93\times 92}{9!}\\\\=1902231808400[/tex]

(b)

Compute the number of ways to select 6 people from 9 as follows:

[tex]{9\choose 6}=\frac{9!}{6!\cdot(9-6)!}[/tex]

        [tex]=\frac{9!}{6!\times 3!}\\\\=\frac{9\times 8\times 7\times 6!}{6!\times 3!}\\\\=\frac{9\times 8\times 7}{3!}\\\\=84[/tex]

(c)

Compute the number of ways to select top 3 candidates from 6 as follows:

[tex]{6\choose 3}=\frac{6!}{3!\cdot(6-3)!}[/tex]

        [tex]=\frac{6!}{3!\times 3!}\\\\=\frac{6\times 5\times 4\times 3!}{3!\times 3!}\\\\=\frac{6\times 5\times 4}{3!}\\\\=20[/tex]

Help pleaseeee xxxxxxxxx

Answers

With what????????????

Who can answer this correctly for PayPal?

Answers

Answer:

Step-by-step explanation:

Property of an isosceles triangle,

Opposite angles of the equal sides in an isosceles triangle are equal in measure.

m∠D = m∠F

(2x + 8) = (3x + 4)

3x - 2x = 8 - 4

x = 4

m∠D = m∠F = (3×4 + 4)°

                    = 16°

m∠D = m∠F = 16°

Since, sum of interior angles of a triangle = 180°

m∠D + m∠E + m∠F = 180°

16° + m∠E + 16° = 180°

m∠E = 180° - 32°

m∠E = 148°

which of the following is a true statement about a rhombus? a) the diagonals are congruent b) The opposite angles are supplementary c) all four angles are congruent d) the diagonals are perpendicular

Answers

Answer:

B

Step-by-step explanation:

please help asap i don’t understand this.

Answers

Answer:

It is the second circle  I believe

Step-by-step explanation:

As you can see on the x side is always just going up 1, and the y side is 2 numbers behind the x side in the beginning. But the y side catches up to the x side, which you can see once the x and y side both have positive 1's. The the y side goes up 2 more while the x side only goes up once.

4x - 2y + z = 30
6x + 5y + 6z = 74
6x + 2y + 8z = 64

Answers

Answer:

lasjn sk sklan djsk

Step-by-step explanation: so jakbas akbsa

- 2
0
-3
A
Evaluateg (-6) for
the graph of g (h)
-6
-9
-12
-15
to the right
-18
-21
-24
-27
-30
A. – 39
B. – 20
C. – 33
-33
-36
39

Answers

Answer:

A

Step-by-step explanation:

Hopefully this helps

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