Quadrilateral EFGH is on a coordinate plane. Segment FG is on the line 3x − y = −2, and segment EH is on the 3x − y = −6. Which statement proves how segments FG and EH are related?

Answers

Answer 1

Answer:

the slope of both lines are the same.

Step-by-step explanation:

Given the following segment of the Quadrilateral EFGH on a coordinate  Segment FG is on the line 3x − y = −2,

segment EH is on the 3x − y = −6.

To determine their relationship, we can find the slope of the lines

For line FG: 3x - y = -2

Rewrite in standard form y = mx+c

-y = -3x - 2

Multiply through by-1

y = 3x + 2

Compare

mx = 3x

m = 3

The slope of the line segment FG is 3

For line EH: 3x - y = -6

Rewrite in standard form y = mx+c

-y = -3x - 6

Multiply through by-1

y = 3x + 6

Compare

mx = 3x

m = 3

The slope of the line segment EH is 3

Hence the statement that proves their relationship is that the slope of both lines are the same.

Answer 2

The slope of the lines is the same, the line segments FG and EH are parallel to each other and are the opposite sides of the quadrilateral.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is constant.

The slope of the line segment FG can be found by comparing the equation with the equation of the line. Therefore,

y = mx + c

-2 = 3x - y

- 2 - 3x = -y

y = 3x + 2

Thus, the slope of the equation is 3.

The slope of the line segment EH can be found by comparing the equation with the equation of the line. Therefore,

y = mx + c

3x - y = -6

-y = 6 - 3x

y = 3x+6

Thus, the slope of the equation is 3.

Since the slope of the lines is the same, the line segments FG and EH are parallel to each other and are the opposite sides of the quadrilateral.

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Quadrilateral EFGH Is On A Coordinate Plane. Segment FG Is On The Line 3x Y = 2, And Segment EH Is On

Related Questions

which of the following correctly gives the center and radius of the circle defined by the equation (z-7)^2 = 10?

Answers

Answer:

Center (7,2); Radius - Square Root of 10

Step-by-step explanation:

Equation for a Cricle:

(x−h)^2 + (y−k)^2 = r^2

Where:

h = x-coordinate of the center of the circle

k = y-coordinate of the center of the circle

r = radius of the circle

For this problem, your h = 7, k = 2, and r = square root of 10

In rectangle ABCD the slope of AB is 1/2 what is the slope of CD

Answers

Answer:

there is no picture of what i need to solve

Step-by-step explanation:

Chris has scored the following points in his last five basketball games: 13,10,14,9,6
How many points must he have score in the next game to average 14 points per game?

PLEASE HELP! NO FILES THO! THEY DON'T WORK!

Answers

Answer:

he must score 32 points in the next game in order to average 14 points per game.

Step-by-step explanation:

14 x 6 = 84

84-(13+10+14+9+6)=32

checking:

32 + 13 + 10 + 14 + 9 + 6 = 84

84 divided by 6 = 14

Mia walks up to a claw machine with a pocket full of quarters. She spends them at a rate of two every minute until she runs out.

Part A

If the number of quarters Mia has is graphed over time, which feature of the graph corresponds to the rate at which Mia spends the quarters?
A. the x-intercept
B. the slope
C. the y-intercept
D. the minimum value
Part B

What is the slope?
A. 2
B. 60
C. −60
D. −2

Answers

part a

The x-intercept

part b

2

The y - intercept is the graph corresponds to the rate at which Mia spends the quarters.

And, The value of slope will be 2.

What is Equation of line?

The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

She spends them at a rate of two every minute until she runs out.

Now,

Since, She spends them at a rate of two every minute until she runs out.

And, The number of quarters Mia has is graphed over time.

We know that;

Usually we represent the independent variable (time) by x and dependent variable (quarters) by y.

Hence, The y - intercept is the graph corresponds to the rate at which Mia spends the quarters.

So, The slope = 2/1

                       = 2

Thus, The y - intercept is the graph corresponds to the rate at which Mia spends the quarters. And, The value of slope will be 2.

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Evaluate x^2, when x is 1/2

Answers

Answer:

1/4

Step-by-step explanation:

1/2*1/2

plzzz helpppp reward brainliestttt

Answers

Answer:

The answer of this question is,

The answer of first question is point 2 and the answer of second question is point 3, look at the picture

Find the x in each triangle

Answers

Answer:

hi

Step-by-step explanation:

you can find the answer according to the Pythagorean theorem

1.

[tex] {5}^{2} + {x}^{2} = {13}^{2} \\ 25 + {x}^{2} = 169 \\ {x}^{2} = 169 - 25 \\ {x}^{2} = 144 \\x = \sqrt{144} \\ x = 12 \: dm[/tex]

2.

[tex] {10}^{2} + {24}^{2} = {x}^{2} \\ 100 + 576 = {x}^{2} \\ {x}^{2} = 676 \\ x = \sqrt{676} \\ x = 26 \: in[/tex]

hope it helps

have a nice day

Jesse is making fruit salad. She purchased 5 & 1/3 ounces of 6 different fruits. How many ounces of fruit did she purchase?

Answers

Answer:

32 ounces of fruits

Step-by-step explanation:

Given that :

Number of distinct fruits purcahed = 6

Number of ounces of each fruit = 5 1/3

The total ounces of fruits purchased :

(Number of distinct fruits purchased * Number of ounces of each fruit)

6 * 5 1/3 = 6 * 16/3

6 * 16/3 = (16 * 6) / 3 = 96 /3 = 32 ounces of fruits.

Are these the right answers ? If not please correct me

Answers

Answer: 1 is consecutive interior, 2 is corresponding, 3 is alt interior, and 4 is alt exterior

Step-by-step explanation: above

Who is the volume of a sphere that has the radius of 3 inches

Answers

Answer:

113.1

Step-by-step explanation:

i just did the math

Answer:

113.1 is the answer

I just multiplied

What is the value of X?

Answers

Answer:

23

Step-by-step explanation:

83+3x+90+x+95= 360

4x= 360-83-90-95

4x= 92

x= 23

You deposit $4000 in an account earning 4% interest compounded monthly. How much will you
have in the account in 15 years?

Answers

You deposit $4000 in an account earning 4% interest compounded monthly. After 15 years, you will have approximately $7224.44 in the account.

To calculate the future value of an account with compound interest, we can use the formula:

Future Value = Principal * (1 + (Interest Rate / Number of Compounding Periods))^(Number of Compounding Periods * Time)

In this case, the principal (initial deposit) is $4000, the interest rate is 4% (or 0.04 as a decimal), and the compounding is done monthly, so there are 12 compounding periods in a year.

Substituting these values into the formula, we have:

Future Value = $4000 * (1 + (0.04 / 12))^(12 * 15)

Calculating this expression gives us:

Future Value ≈ $4000 * (1.003333)^180

Future Value ≈ $4000 * 1.806111

Future Value ≈ $7224.44

After 15 years, you will have approximately $7224.44 in the account, considering the given interest rate and compounding frequency.

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how do I solve the value of this​

Answers

Answer:

C=7

Step-by-step explanation:

Because it's a right angle in total we know the 2 expressions combined will equal 90.

(8c-5)+(6c-3)=90

a woman sold an article for 400.00and made a profit of 25%,Find ty cost price and profit​

Answers

Answer:

$100 profit, $300 cost

Step-by-step explanation:

So 25% of $400 is $100, now we know she made $100 on the article

and the other $300 was the amount used to make the article i'm asuming

A woman sold an article for 400.00

made a profit of 25%

Cost price and profit​ is $100 profit, $300 cost.

What are the 4 types of profit?

There are four levels of profit or profit margins: gross profit, operating profit, pre-tax profit, and net profit.

These are reflected on a company's income statement in the following sequence: A company takes in sales revenue, then pays direct costs of the product of service.

What is profit and example?

Profit is a term that often describes the financial gain a business receives when revenue surpasses costs and expenses. For example, a child at a lemonade stand spends one quarter to create one cup of lemonade. She then sells the drink for $2. Her profit on the cup of lemonade amounts to $1.75.

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Express 4 hours on seconds and leave answer in standard form

Answers

Answer:

4x60=240minutes

1 minute=60 seconds

Hence, 240 minutes=14400 seconds(240*60)

I will give brainliest please help

Answers

Answer:

x^5y^5

Step-by-step explanation:

here's your solution

=> if base are same then power get added in multiplication

=> so, x^2 * y^4 * x^3 * y^1

=> x^2 * x^3 * y^4 * y^1

=> x^5*y^5

hope it helps

X^5,y^5 because you add the two and three and get five so it’ll be x to the fifth power then you add four and one but there isn’t a number on the y at the end so that automatically makes it one so add four and one you get five so therefore the answer is x^5,y^5

find the area of the parallelogram

Answers

Answer:

I think the answer is 60

Step-by-step explanation:

If you do the base times the hieght it should get you the answer.

Evaluate the expression, below, when a = 2 and b = 5.

(3 + a)² • (4 – b) + √36

Answers

Answer:

-19

Step-by-step explanation:

1) substitute a with 2 and b with 5

(3 + 2)^2 * (4-5) + √36

2) solve the brackets and the square root

(5^2) * (-1) + 6

3) solve the power

25 *(-1) + 6

4) solve the multiplication

-25 + 6

5) solve the sum

- 19

Answer:

-19

Step-by-step explanation:

i got the answer right

PLS HELP MEEEEE!!!!!!!

Answers

Answer:

i think true hehehehehehehhehehehehe

Answer:

True

Step-by-step explanation:

Some people think a long drought may have occurred. However this information is not proven.

Noel has rowing lessons every 5 days and guitar lessons every 6 days. If he had both lessons on the last day of the previous month, when will he have both lessons on the same day of the current month?

Answers

Answer:

Since every 30 days  he  wil have both lessons on the same day , and  he already  had both lessons on the last day of the previous month, that means that the day 30  the current month   he  wil have both lessons on the same day (It may be the last day if the month has 30 days or it may not be the last day if the month has 31 days)

Step-by-step explanation:

Lets find the least common factor of 5 and 6

Multiples of 5

5  10  15  20  35  30  35  40......

Multiples of 6

6  12  18  24  30 36  

LCF of 5 and 6 = 30

Every 30 days  he  wil have both lessons on the same day

????????????????? I NEED HELP WITH THIS WILL GIVE BRAINLIEST

Answers

Answer:

#3 is 40

#4 is 90

Step-by-step explanation:

1. You start a biology experiment with 4,500 cells. The cells are continuously growing and 2 minutes later

there are about 22583 cells. What is the rate of growth per minute?

Answers

Answer:

80.65% per minute

Step-by-step explanation:

For continous growth :

A = Pe^rt

A = amount after time, t

P = initial amount

r = growth rate

22583 = 4500 * e^r*2

22583 = 4500 * e^2r

22583 / 4500 = e^2r

5.0184444 = e^2r

Take the In of both sides

1.61312 = 2r

r = 1.61312 ÷ 2

r = 0.80656

0.80656 * 100% = 80.65%

SYTEM OF INEQUALITIES , 65 points.
HELP

Answers

Answer:

[tex]2x+3y\geq 60\\x>10[/tex]

Step-by-step explanation:

We know that she will be selling bracelets for $2 each and earrings for $3 each. That means we will have 2x+3y, where x is the number of bracelets she sells and y is the number of earrings she sells. Then we will have [tex]\geq 60[/tex] because she wants to sell at least $60 worth of earrings and bracelets. That means the amount she makes from bracelets and earrings combined has to equal 60 or more, thus we use the greater than or equal to sign.

Now we have [tex]x>10[/tex], where x is still the number of bracelets sold. She said she will sell more than 10, which means we will just have [tex]>10[/tex]. If she said she wanted to sell at least 10, then it would be [tex]\geq10[/tex].

Therefore the system of inequalities is:

[tex]2x+3y\geq60\\x>10[/tex]

Hope this helps!

What is the area of a square, rectangle, or parallelogram?

Answers

Answer:

area of a square= length ²

area of a rectangle=length*breadth

area of parallelogram=base *height

Thank you so much :)

Answers

i believe the answer is the fourth option.sorry if incorrect and good luck

Answer:

b

Step-by-step explanation:

Which Equation best matches the graph shown below?

Answers

Answer:

.2(x+1)(x+5)

Step-by-step explanation:

Well first lets start with the x intercepts which are -1 and negative 5 so the equation must be either -0.2(x+1)(x+5) or .2(x+1)(x+5)

Notice how the graph is going upwards this means the number in front of the equation -.2 or .2 must be positive making .2(x+1)(x+5) this is because if .2 was negative the graph would be going downwards

any answers please help me out

Answers

E⁣⁣⁣⁣xplanation i⁣⁣⁣⁣s i⁣⁣⁣⁣n a f⁣⁣⁣⁣ile

bit.[tex]^{}[/tex]ly/3a8Nt8n

solve the following equation
x/3 +4 =7

Answers

Answer:

Sorry if im wrong..

Step-by-step explanation:

7 = (7 x)/3 + 4 = 21 x + 4 = 7

X/3+4=7
-4 -4

X/3=3
3.3 3.3

X=9

Someone help and PLZ make sure it’s RIGHT

Answers

Answer:

11.6 mi

Step-by-step explanation:

9.3^2+6.9^2 = 134.1

sqrt134.1 = approx 11.6

Answer:

c= 11.6 mi

Step-by-step explanation:

c =√(a²+b²)= √(9.3²+6.9²)= 11.6mi

The shapes of the horizontal cross-sections of the cylinder below are not all
congruent
A. True
B. False

Answers

The answer is B because it does not cross sections of the cylinder
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