what’s the value of x? and what’s the measure of angel JHK?

Whats The Value Of X? And Whats The Measure Of Angel JHK?

Answers

Answer 1

Answer:

x = 14

JHK =  21

Step-by-step explanation:

The angles are vertical angles and vertical angles are equal

3x-21 = x+7

Subtract x from each side

3x-x -21 = x+7-x

2x-21 = 7

Add 21 to each side

2x-21+21 = 7+21

2x = 28

Divide by 2

2x/2 =28/2

x = 14

JHK = 3x-21 = 3(14) -21 = 42-21 = 21

Answer 2

Answer:

Because ∠GHI and ∠JHK are vertical angles, they're congruent. Therefore, set their angle measures equal to each other & solve for x.

[tex]x+7=3x-21\\x-3x=-7-21\\-2x=-28\\x=\frac{-28}{-2} =14\°[/tex]

Substitute in the value of x to find ∠JHK:

[tex]3x-21=3(14)-21=42-21=21\°[/tex]


Related Questions

Find the measure of the missing angles.

Answers

Answer:

e- 77

d- 52

f- 51

Step-by-step explanation:

Step-by-step explanation:

d=52° (,vertically opposite angle)

77+52+f=180 (linear pair)

f=180- 129

f=51°

52+51+e=180

e=180- 103

e=77°

A factory makes twenty-three million, five hundred fifty candies each month. This number in standard form is

Answers

Answer:

23,000,550

Step-by-step explanation:

A million has six zeroes, so twenty three million is

23,000,000

Since five hundred fifty is not in the thousands, it replaces the last trio of zeroes.

We have the number in standard form as

23,000,550

Answer:

23000550

Step-by-step explanation:

I NEED HELP PLEASE!!!!

Answers

Answer:

the answer to that's is B bud

If f(x) = x - 5, what is the value of f(8)? -13 -3 3 13

Answers

Answer:

putting the value of X=8 in f(X)

f(8)= 8-5

f(8)= 3

Answer:

3

Step-by-step explanation:

We must plug in 8 into the equation of the function since f(x) = x - 5 for all values of x. Since 8 could be a value of x, we can plug it in:

[tex]f(8) = 8-5[/tex]

The value of 8 minus 5 is 3, so the value of f(8) is 3.

Find the exact area of this triangle: 10V3 30° 20 [?] [ square units​

Answers

Answer:

50√3 square units.

Step-by-step explanation:

Let the two sides of the triangle given be 'a' and 'b'.

Let the angle between them be θ

From the question given above, the following data were obtained:

Side a = 20 units

Side b = 10√3

Angle (θ) = 30°

Area (A) =?

A = ½ × ab × Sineθ

A = ½ × 20 × 10√3 × Sine 30

A = ½ × 20 × 10√3 × ½

A = 10 × 5√3

A = 50√3 square units

Therefore, the area of the triangle is 50√3 square units

On Monday, Main Street station sells 40 tickets.
There are four types of ticket; infant, child, adult and senior.
The bar chart shows the number of infant, child and adult tickets sold.

How many Senior tickets sold ?

Find how many adult tickets were sold than child tickets ?
BOTH QUESTIONS ANSWER NEEDED PLES HELP

Answers

Answer:

0 senior tickets were sold

5 more adult tickets were sold than chil tickets

Step-by-step explanation:

You need to see the frequency of each bar

Answer by Gauthmath

A market research company conducted a survey to find the level of affluence in a city. They defined the category "affluence" for people earning $100,000 or more annually. Out of 267 persons who replied to their survey, 32 are considered affluent. What is the 95% confidence interval for this population proportion? Answer choices are rounded to the hundredths place. 0.08 to 0.34 0.08 to 0.16 0.24 to 0.34 0.16 to 0.24

Answers

Answer:

0.08 ; 0.16

Step-by-step explanation:

Given :

x = 32 ; n = 267 ; phat = x / n = 32 / 267 = 0.11985

The Zcritical at 95% = 1.96

The confidence interval for proportion :

C. I = Phat ± Z*√(phat(1-phat))/n

C. I = 0.11985 ± 1.96√(0.11985(1-0.11985))/267

C. I = 0.11985 ± 1.96(0.0198765)

C. I = 0.11985 ± 0.0389581

C. I = 0.08 ; 0.158

C. I = 0.08 ; 0.16

What are the zeros of the polynomial function f(x)=x3-7x2+8x+16

Answers

Answer: x=4, -1

Step-by-step explanation:

Assuming you meant [tex]x^3-7x^2+8x+16[/tex], the zeros of the question are x = 4 and -1.

Step 1. Replace f(x) with y.

[tex]y = x^3-7x^2+8x+16[/tex]

Step 2. To find the roots of the equation, replace y with 0 and solve.

[tex]0 = x^3-7x^2+8x+16[/tex]

Step 3. Factor the left side of the equation.

[tex](x-4)^2 (x+1)=0[/tex]

Step 4. Set x-4 equal to 0 and solve for x.

[tex]x-4=0[/tex]

Step 5. Set [tex]x+1[/tex] equal to 0 and solve for x.

[tex]x=-1[/tex]

The solution is the result of [tex]x-4=0[/tex] and [tex]x+1=0[/tex].

[tex]x=4,-1[/tex]


HELP PLS !!! Pls pls pls pls pls pls pls pls pls

Answers

Answer:

x=7

Step-by-step explanation:

6x+11=7x+4

x=7
Go with this equation: 6x+11 = 7x+4(alt. Angles)

Need help pleaseeee!!!

Answers

Answer:

C is wrong!

Step-by-step explanation:

The explanation is in the picture!

HELPinjjgk go hhjkkggb jjj

Answers

Answer:

what i dont understand

Step-by-step explanation:

WORTH 15 POINTSSSSSSSSS

Answers

Answer:

15

Step-by-step explanation:

Difference in distances = 75-60 = 15 miles

So Car A travels 15 miles more than Car A in an hour

Answered by Gauthmath

Vectors u and v are perpendicular. ||u|| = 5√2 units, and ||v|| = 6√2 units. ||u + v|| ≈ ? units
A. 11.04
B. 11.05
C. 15.55
D. 15.56

Answers

Answer:

15.56

Step-by-step explanation:

Given the vectors ||u|| = 5√2 units, and ||v|| = 6√2 units.

||u + v|| ≈  5√2 +  6√2

||u + v|| ≈  (5+6)√2

Since √2≈ 1.4142

||u + v|| ≈   11(1.4142)

||u + v|| ≈  15.56

Hence the correct option is D

Answer: 11.05

Step-by-step explanation: got it right

Factor.
64x^12 + 27y^3

Answers

Answer:

answer is (4x^4+3y)(16x^8-12x^4y+9y^2)

Step-by-step explanation:

help i,m suck and i cant find the answer

Answers

The answer is 2x
3
+5x
2
−x−6

Find two positive numbers whose difference is 28 and whose product is 1653

Answers

Answer:

Step-by-skfmckfmkfkfkfkfkkfkfkfkfkfkfoftep explanation:

Cl

f (x) = 3r + 6. Find the inverse of f(x).

Answers

Answer:

The inverse is 1/3x -2

Step-by-step explanation:

f (x) = 3x + 6

y = 3x+6

Exchange x and y

x = 3y+6

Subtract 6 from each side

x-6 = 3y+6-6

x-6 = 3y

Divide by 3

1/3x - 6/3 = y

1/3x -2 = y

The inverse is 1/3x -2

Which confidence level would produce the widest interval when estimating the mean of a population from the mean and standard deviation of a sample of that population?
ASAP THANK YOU!!!!!

Answers

Answer:

54%

Step-by-step explanation:

that is the greatest percentile given

The confidence level of 54% would produce the widest interval when estimating the mean of a population from the mean and standard deviation of a sample of that population.

What is Confidence Interval?

Confidence interval in statistics is defined as the certain range of values that you estimate for the unknown parameter lies within.

This means that, if you do your experiment more than once and do resampling, then this is the percentage that the parameters falls within a range.

From the definition of the confidence interval itself, it is clear that the level with the widest interval will be the highest confidence level.

So if you need a wider interval for estimating the mean of a population from the mean and standard deviation, you need to take higher confidence level.

Out of the given options, the highest level is 54%.

Hence the confidence level is 54%.

Learn more about Confidence Interval here :

https://brainly.com/question/29680703

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The mean gross annual incomes of certified welders are normally distributed with the mean of $20,000 and a standard deviation of $2,000. The ship building association wishes to find out whether their welders earn more or less than $20,000 annually. The alternate hypothesis is that the mean is not $20,000.

Required:
What is the alternate hypothesis?

Answers

Answer:

H1 : μ ≠ 20000

Step-by-step explanation:

Given that :

Population mean salary, μ = 20,000

To test if mean salary is more or less Than population mean salary, μ, this means we are testing if the mean salary is different from 20,000

Hence, the hypothesis :

Null, H0 : The mean salary is 20000

Alternative, H1 : The mean salary is not 20000

Using notation :

H0 : μ = 20000

H1 : μ ≠ 20000

Hence, alternative hypothesis is : H1 : μ ≠ 20000

Which functions represent a vertical stretch of the parent function, f(x) = 1/x? Check all that apply.
g(x) = 3/x
g(x) = -2/x
g(x) = 1/4x
g(x) = 5/2x
g(x) = 1/2x

Answers

Answer:

[tex]g(x) = \frac{3}{x}[/tex]

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

[tex]g(x) =\frac{5}{2x}[/tex]

Step-by-step explanation:

Given

[tex]f(x)=\frac{1}{x}[/tex]

Required

Which represents vertical stretch of f(x)

The transformation is represented as:

[tex]g(x) = a* f(x)[/tex]

Where:

[tex]|a| > 1[/tex]

So, the functions are:

[tex]g(x) = \frac{3}{x}[/tex] ---- [tex]|3| > 1[/tex]

[tex]g(x) =-\frac{2}{x}[/tex] --- [tex]|-2|>1[/tex]

[tex]g(x) =\frac{5}{2x}[/tex] --- [tex]|\frac{5}{2}| > 1[/tex]

Answer:

the other person is correct if you need them quick it is a b and d

Step-by-step explanation:

Why school sucks: A makes you learn stuff you don’t care about and will never use B teachers suck and don’t teach property C they don’t teach you useful things like taxes bills ect D they overwork students E its not even about learning anymore all goals are is just good grades.

Why is our future determined on letters on a piece of paper? I’d rather die then be in this society

Answers

Answer:

I think answer is E

Step-by-step explanation:

Answer Fasho F no kapp all facts

Find the difference: -18 - (-18)

Answers

Answer:

0

Step-by-step explanation:

-18-(-18)

= -18+18 [(+) + (+)=(+)]

=0 [(-) + (-)=(-)]

Which subset(s) of numbers does 5 3/8 belong to ?

Answers

Answer:

Rational number

Step-by-step explanation:

Given

[tex]5\frac{3}{8}[/tex]

Required

The subset it belongs to

Express as improper fraction

[tex]5\frac{3}{8} = \frac{43}{8}[/tex]

The above number is rational because it is represented by the division of 2 integers, i.e. 43 and 8 are integers

Express as decimals

[tex]5\frac{3}{8} = 5.375[/tex]

The above number cannot be classified as integers or whole because it has decimal parts

Find the length of the arc. Round your answer to the nearest tenth​

Answers

Answer:

12.6 mi

Step-by-step explanation:

Arc length = 2πr (Θ/360)

2π(12) (60/360)

= 12.6 mi

Answered by g a u t h m a t h

The problem solving plan identifies steps to organize your information. Which of the following answer choices are included in the steps to organize your information?
A. Organize the problem and find the question.
B. Solve the problem and change your strategy if necessary.
C. Write the facts, organize your thoughts and define your strategy.
D. Organize the steps and underline the question.

Answers

c.write the fact,organize your thoughts and define your strategy.

Answer:

c

Step-by-step explanation:

Simplify: −4(b+6)−2b(1−4b

Answers

Step-by-step explanation:

-4b-24-2b+8b2

8b2-6b-24=0

You need to design a rectangle with a perimeter of 14.2 cm. The length must be 2.4 cm. What is the width of the
rectangle? (You might want to draw a picture.)

a) Let w = the width of the rectangle. Write the equation you would use to solve this problem.


b) Now solve your equation
* cm.
The width of the rectangle must be. Cm

Answers

Part (a)

Answer: 2(2.4+w) = 14.2

--------------

Explanation:

L = 2.4 = length

W = unknown width

The perimeter of any rectangle is P = 2(L+W)

We replace L with 2.4, and replace P with 14.2 to get 14.2 = 2(2.4+w) which is equivalent to 2(2.4+w) = 14.2

========================================================

Part (b)

Answer:   w = 4.7

--------------

Explanation:

We'll solve the equation we set up in part (a)

2(2.4+w) = 14.2

2(2.4)+2(w) = 14.2

4.8+2w = 14.2

2w = 14.2-4.8

2w = 9.4

w = 9.4/2

w = 4.7

The width must be 4.7 cm.

5 times a certain number plus 6 has the same value as two times the same number minus 3 what is the number​

Answers

Let the number be x

ATQ

[tex]\\ \sf\longmapsto 5x+6=2x-3[/tex]

[tex]\\ \sf\longmapsto 5x-2x=-3-6[/tex]

[tex]\\ \sf\longmapsto 3x=-9[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-9}{3}[/tex]

[tex]\\ \sf\longmapsto x=-3[/tex]

Jose saves $22.45 a week which is 37% of his weekly pay. How much is Jose's weekly pay?

Answers

I believe it is $60.67 a week

Which of the following numbers has the greatest value?
89 3/4
66 1/2
55 2/3
74 1/4
106 5/6

Answers

Answer:

106 5/6

Step-by-step explanation:

55 < 66 < 74 < 89 < 106

the fractions are irrelevant because the whole numbers are all different

The greatest of the numbers will be 106 5/6 since 106 is greater than the rest of the integers present in the mixed fractions.

Finding greatest value in a sequence

The greatest value is the highest value in a given set of number.

Given the following numbers

89 3/4

66 1/2

55 2/3

74 1/4

106 5/6

The greatest of the numbers will be 106 5/6 since 106 is greater than the rest of the integers present in the mixed fractions.

Learn more on mixed fractions here: https://brainly.com/question/414559

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