Mathematics High School

Given m∠GHF = 34°, m∠HJF = 124°, and m∠FKJ = 79°.

Answers

Answer 1

Angle GFJ = 56 degrees

Angle FGH = 124 degrees

Angle HFJ = 34 degrees

Angle HKJ = 101 degrees

Step-by-step explanation:

Answer 2

The measure of the angles are:

[tex]\mathbf{GFJ = 56}[/tex]

[tex]\mathbf{\angle HFJ = 34}[/tex]

[tex]\mathbf{\angle HKJ =101}[/tex]

The given parameters are:

∠GHF = 34°,

∠HJF = 124°,

∠FKJ = 79°.

(a) Angle ∠GFJ

This is calculated as:

[tex]\mathbf{GFJ = 180 - \angle HJF}[/tex] --- base angles of parallelogram add up to 180 degrees

So, we have:

[tex]\mathbf{GFJ = 180 - 124}[/tex]

[tex]\mathbf{GFJ = 56}[/tex]

(b) Angle ∠FGH

This is calculated as:

[tex]\mathbf{\angle FGH = \angle HJF}[/tex] --- opposite angles of parallelogram are equal

So, we have:

[tex]\mathbf{\angle FGH = 124}[/tex]

This is calculated as:

[tex]\mathbf{\angle HFJ = \angle GHF}[/tex] --- corresponding angles

So, we have:

[tex]\mathbf{\angle HFJ = 34}[/tex]

(d) Angle ∠HKJ

This is calculated as:

[tex]\mathbf{\angle HKJ =180 - \angle FKJ}[/tex] ---- supplementary angles

So, we have:

[tex]\mathbf{\angle HKJ =180 - 79}[/tex]

[tex]\mathbf{\angle HKJ =101}[/tex]

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Related Questions

Find the distance between the points
(9,-7) and
(5,-4).

25
5
V137
V7

Answers

Answer:

Step-by-step explanation:

5 is the 100% correct answer.....Hopes to get BRAINLIEST.....

Thank you ☺️☺️

which of the rational numbers -11/28,-5/7,9/-14,29/-42
is the greatest?

Answers

Answer: -5/7

Step-by-step explanation:

-11/28 = -0.39

-5/7 = -0.71

9/-14 = -0.64

29/-42 = -0.69

Out of these, -5/7 is the greatest rational number, even if they are all negative.

Hope this helps!

Which line is perpendicular to a line that has a slope of One-half?

line AB
line CD
line FG
line HJ

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is the answer to 12/45x5+6

Answers

Answer: 24.75

Step-by-step explanation:

First you would do 45x4=225, then you would divide that by 12 which equals 18.75, then you would add 6 to the ones place which is 24.75

Mr. Swanson bought a package of 10 disposable razors for $6.30.He found that each razor lasted for 1 week. What was the cost per day?

Answers

Answer:

don't even know hope u get it tho

Type the missing number in this sequence: -71, -73, -75, -77 what comes before -71?

Answers

Answer:

-69

Step-by-step explanation:

The numbers are decreasing by -2.

Which means -71+[-2]=-69

A family travels to Bryce Canyon for three days. On the first day, they drove 140
miles. On the second day, they drove 200 miles. What is the least number of miles
they drove on the third day if their average number of miles per day was at least
180?

Answers

A family travels to Bryce Canyon for three days. On the first day, they drove 140 miles. On the second day, they drove 200 miles. What is the least number of miles they drove on the third day if their average number of miles per day was at least 180?

To find the average number of something, you would take all of the numbers you want to find the average of, add them together, and divide by the total number of items you added up.

For example: in this question, you have 140 miles, 200 miles, and x miles (the amount of miles they drove on the third day).

You would add all of these miles together and divide by 3, since you added 3 numbers together. This would equal the average.

Finding the average:

Create an equation where all of the miles they drove are added together, divide this expression by 3, and set this greater than or equal to 180 (since they drove at least 180 miles on average).

(140 + 200 + x)/3 ≥ 180

Solve for x to find the least number of miles they drove on the third day. Multiply both sides by 3.

140 + 200 + x ≥ 540

Combine like terms on the left side of the equation.

340 + x ≥ 540

Subtract 340 from both sides of the equation.

x ≥ 200

The least number of miles the family drove on the third day was 200 miles, since x can't be anything less than 200.

Answer: x = 200 miles

I am really behind and I REALLY need help... I am giving every point I have for this...

Answers

Answer:

Get ahead then

Step-by-step explanation:

Shorts cost $16

T-shirts cost $10

So:

16x + 10y ≤ 100

y ≤ -1.6x + 10

Then graph y = -1.6x + 10 and x = 2

Part b:

Using the graph, we can infer that there are two possible solutions:

A. 3 pairs of shorts and 4 t-shirts

B. 4 pairs of shorts and 2 t-shirts

6a. X = number of apples, Y = number of oranges

So:

x + y ≤ 20

0.24x + 0.8y ≤ 12

x ≤ 20 - y

0.24(20 - y) + 0.8 ≤ 12

= 4.8 - 0.24y + 0.8y ≤ 12

= 0.56y ≤ 7.2

y = 12.9 (You can use twelve because there can't be a fraction of an orange.)

x = 7.14 (again, because of fractions, round to 7.)

Therefore, she got 12 oranges and 7 apples.

Part 2:

Question 1:

Both equations are unbounded.

Question 2:

Both equations are unbounded.

Question 3:

Both equations are unbounded.

Question 4:

Both equations are unbounded.

Give me a moment to add question four's graph.

The measure of an angle is 8 more than the measure of the other angle. If the two angles are complementary angles, find the measure of each angle

Answers

Answer:

yd wyyhvbfhu vuhcvb u sbhn j sbjhdghdgfh jbvdfhj gbhvdfhv hvg h jhs vh gh

Step-by-step explanation:

2/5(5k+35) -8 =12 please helpppppppp

Answers

Answer:

k =3

Step-by-step explanation:

2/5(5k+35) -8 =12

Add 8 to each side

2/5(5k+35) -8+8 =12+8

2/5(5k+35) =20

Multiply each side by 5/2

5/2 *2/5(5k+35) =20*5/2

5k+35 = 50

Subtract 35 from each side

5k+35-35 = 50-35

5k = 15

Divide by 5

5k/5 = 15/5

k =3

See attachment for math work and answer.

8. Charlize and Camille solved the equation 4x - 2y = 8 for y. Their work is shown below. Which student solved the equation correctly? *

Answers

Answer: I think the answer is y=2x-4 but i cant see who’s equation is correct

Step-by-step explanation:

How do you know if an equation has one solution, no solutions, or infinitely many solutions?

Answers

Answer:

Summary. If the equation ends with a false statement (ex: 0=3) then you know that there's no solution. If the equation ends with a true statement (ex: 2=2) then you know that there's infinitely many solutions or all real numbers.

Step-by-step explanation:

To determine whether an equation has one solution, no solutions, or infinitely many solutions, we need to examine the relationship between the variables and the consistency of the equation.

Here are the general guidelines:

1. One Solution: An equation has one solution if the variables can be assigned specific values that satisfy the equation, resulting in a unique solution. When solving the equation, you will find a specific value or set of values for the variables that make the equation true. The solution is often a numerical value or a specific point in a coordinate system.

2. No Solutions: An equation has no solutions if there is no value or combination of values for the variables that satisfy the equation. When solving the equation, you will arrive at a contradiction or an inconsistency. For example, if you encounter a statement like 2 = 5 during the solution process, it indicates that the equation has no solutions.

3. Infinitely Many Solutions: An equation has infinitely many solutions if any value assigned to the variables will satisfy the equation. This typically occurs when the equation is an identity or when there are variables on both sides of the equation that cancel out during the solution process, resulting in the equation always being true. In such cases, any value can be substituted for the variables, and the equation will remain true.

Determining the nature of the solutions often involves algebraic manipulation, simplification, and analysis of the equation to determine if it is consistent, inconsistent, or an identity.

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RiDdLE oF ThE DaY: PaRt 2- Mr.White had been missing and the only evidence he left behind was a paper that said "The first of July, the fourth of January, the first of December and the eighth of February" the police questioned the people that were in the house at that time. Judy said she was at her parents house, Logan was Mr.Whites secretary said he was working on a report for his boss and haven't left his room and Rose, Mr. Whites daughter said she was having guest and never left the living room. Can you crack the case?

Answers

Answer:

Step-by-step explanation:

1st of July: J

4th of January: U

1st of December: D

8th of February: Y

Answer: JUDY!

Answer:

Child this has to be one the most hard riddles I ever did

Step-by-step explanation:

5 less than 3.1 times a number n plz help me

Answers

Answer:

-2.1 i guess

Step-by-step explanation:3.1 minus 5 =-2.1

The required expression will be x = 3.1 n - 5

It is given that a number is 5 less than 3.1 times a number "n" .

We have to find the expression for the given statement.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as multiplication , division , etc.

Let's assume the number be x.

So ,

3.1 times of number n = 3.1 × n = 3.1 n

Let's subtract 5 from the above number, i.e.,

3.1 n - 5

and , the required expression will be ;

x = 3.1 n - 5

Thus , the required expression will be x = 3.1 n - 5

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Luke received an inheritance of $15000 that he divided into three parts and invested in three ways: in a money-market (x) fund paying 4% annual interest;in municipal bonds (y) paying 3.5% annual interest; and in mutual funds (z) paying 8% annual interest. Luke invested twice in mutual funds than in money-market fund. He earned $845 in interest the first year. How much did Luke invest in each type of fund?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Total principal invested = $15000

Investment x at 4% (0.04)

Investment y at 3.5% = 0.035

Investment z at 8% = 0.08

z investment = 2x

Total interest earned = $845

Simple interest = principal * rate * time

y * 0.035 + x * 0.04 + 2x * 0.08 = 845

0.035y + 0.2x = 845 - - - (1)

y + x + 2x = 15000

3x + y = 15000 - - - - (2)

y = 15000 - 3x

0.035(15000 - 3x) + 0.2x = 845

525 - 0.105x + 0.2x = 845

525 + 0.095x = 845

0.095x = 845 - 525

0.095x = 320

x = 320/0.095

x = 3368.42

Z = 2x

Z = 2 * 3368.42 = $6736.84

y = 15000 - 3(3368.42)

y = $4894.74

Help me out fast.....

Answers

Answer: 1,000

Step-by-step explanation:

1,000 .. hope that helps u out :)

When electrons flow with little resistance through a conductor it is called a

Answers

Answer:

The answer is free electrons

Step-by-step explanation:

When electrons flow with little resistance through a conductor, then it is called a Electricity.

What are electrons?

"The electron is a subatomic particle whose electric charge is negative one elementary charge."

What is resistance?

"Resistance is a measure of the opposition to current flow in an electrical circuit."

What is conductor?

"A conductor, or electrical conductor, is a substance or material that allows electricity to flow through it. "

What is Electricity?

The steady flow of electrons through a conductor is called electricity

Hence , if electrons are flowing that means they conducts electricity.

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For each value of y, determine whether it is a solution to 7= y ÷ 3.

Answers

the answer is yes, 21

Step-by-step explanation:

you would multiply 7 and 3 to get y

1/3 multiplied by 1 1/2

Answers

Answer:

0.5

Step-by-step explanation:

determine whether the given expressions are perfect square trinomials. Write "P" if it is a perfect square trinomial and "N" if not. Write your answer on your answer sheet.

1.) a^2 - 22a + 121
2.) b^2 - 8b + 16
3.) 4d^2 + 20d - 25
4.) 100 + 50e + e^2
5.) 36r^2 - 60rt + 25t^2

thank you in Advance

Answers

1) P
2) P
3)N
4)N
5) P
Hope this helps

Please answer! Thank you so so much and you will be rewarded in points!!
If the line passes through (-4,-7) and (4,9), what is the equation of the line in standard form?

2x - y = 1
2x + y = -1
2x + y = 1
2x - y = -1

Answers

Answer:

Step-by-step explanation:

Y=2x+1??

Answer:

2x - y = -1

Step-by-step explanation:

hope this helps

the sum of 5 angles of an octagon is 840. What measures of the remaining 3 angles if they are congruent to one another?

Answers

Answer:

80⁰

Step-by-step explanation:

1080-840=240

240÷3=80

80=80=80

congruent means each angles are the same measure.

A hairstylist schedules 1/4 our trim a customer's hair and 1/6 hour to style the customers hair hairstyles plans to work 3 1/3 hours each day for five days a week how many appointments can hairstylist schedule each week if the customer must be trimmed and styled A hairstylist schedules 1/4 hour trim a customers hair and 16 away to style the customers here he said his plans to work 3 1/3 hours each day for five days a week how many appointments can hairstylist schedule each week if the customer must be trained in styl

Answers

Answer:

40 appointments

Step-by-step explanation:

From the question, we have the following information

Amount of time to trim a customer's hair = 1/4 hour

Amount of time to style a customer's hair = 1/6 hour.

Total time spent on a customer

= (1/4 + 1/6)hour

L.C.M = 12

= (3 + 2/12) = 5/12 hour spent on a customer for trimming and styling

She plans to work for 3 1/3 hours per day for 5 days a week.

The total number of hours in a week that she works is calculated as:

3 1/3 × 5

= 10/3 × 5 = 50/3 hours = 23 1/3 hours

1 customer = 1 appointment = 5/12 hour

Therefore, the number of appointments she can schedule for 5 days a week if the customer must trim and style is calculated as:

5/6 hour = 1 appointment

50/3 hours = x appointments

Cross Multiply

5/6 hour × x = 50/3 hour × 1 appointment

x = 50/3 ÷ 5/12

x = 50/3 × 12/5

= 40 appointments.

The number of appointments she can schedule for 5 days a week if the customer must trim and style is 40 appointments.

Kerri has to be at school by 8:11. It takes her 5 minutes to brush her teeth, 9 minutes to shower, 15 minutes to dry her hair, 14 minutes to eat breakfast and 18 minutes to walk to school. What time will she need to get up?

Answers

Answer:

7:10

Step-by-step explanation:

18+14+15+9+5 = 61 minutes

Answer:

7:10

Step-by-step explanation:

5+9=14

14+15=29

29+14=43

43+18=61

60 minutes in an hour with one minute left behind.

8-1=7

11-1= 10

7:10

Which two ratios form a proportion? 3:4 and 6:12 3:4 and 9:15 3:4 and 12:18 3:4 and 15:20

Answers

Answer:

3:4 and 15:20

Step-by-step explanation:

3:4 and 15:20

15/3 = 5

20/4 = 5

Fill in the blanks by creating the line parallel to y= -1/2x+7 that goes through (-2,3) in slope intercept form.

Answers

Answer:

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

Step-by-step explanation:

Two parallel lines share the same slope, so the slope of this parallel line will also be [tex]-\frac{1}{2}[/tex].

Now, you'll have to find the y-intercept. But, to make sure your line also goes through the point (-2, 3), plug them into the x and y values:

y = mx + b

3 = (-1/2) (-2) + b

3 = 1 + b

b = 2

Now you can plug the y-intercept and slope into the slope-intercept formula:

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

pls respond ,.... 25 points

Answers

The answer is B, hope this helped you!

Which expression converts 100 inches per minute to feet per minute?

StartFraction 100 inches Over 1 minute EndFraction × StartFraction 60 minutes Over 1 hour EndFraction
StartFraction 100 inches Over 1 minute EndFraction × StartFraction 1 hour Over 60 minutes EndFraction
100 inches Over 1 minute times × StartFraction 1 foot Over 12 inches EndFraction
100 inches Over 1 minute times × StartFraction 12 inches Over 1 foot EndFraction

Answers

Answer:

100 inches Over 1 minute times × 1 foot Over 12 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the replacement set {0, 1, 2, 3, 4}, solve 5x - 4 = 16.
x = 0
x=2
X = 2
x=3
X = 3
x = 4

Answers

Answer:

the answer is x=4

Step-by-step explanation:

5x-4=19

5x=16-4

5x=20

x=4. (dividing both sides by 5)

What is the value of 9.6 dived by 1.2

Answers

Answer:

Step-by-step explanation:

1.2 * 8 = 9.6

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