Quadrilateral DEFG has vertices at D(3,4) E(8,6) F(9,9) G(4,7). Prove that DGEF is a parallelogram

Quadrilateral DEFG Has Vertices At D(3,4) E(8,6) F(9,9) G(4,7). Prove That DGEF Is A Parallelogram

Answers

Answer 1
Sorry I’m kinda lazy to graph it but here are the ways you can prove a parallelogram:
Both pairs of opposite sides are parallel.
Both pairs of opposite sides are congruent.
Both pairs of opposite angles are congruent.
Diagonals bisect each other.
One angle is supplementary to both consecutive angles (same-side interior)

Related Questions

1. The ratio of Allison's weight to Brett's weight was 4:5. If Allison's weight
increased by 5 lbs. and Brett's weight decreased by 1

Answers

Answer:

the ratio would be 9:4 because you just add

Step-by-step explanation:

just add the rstio

HELP HELP HELP HELP IM GIVING BRAINLIEST

Answers

Answer:

A. 60 ft^2

Step-by-step explanation:

A=bh

The base is 12 and the height is 5

12*5=60

Answer:

A

Step-by-step explanation:

sorta need answer asap

Answers

The modal class would be:

60 < x < 80

Hope this helps!

Write a rule for a function with a parabolic graph that contains the x-intercepts (-20,0) and (40,0) and a maximum point whose y-coordinate is 30.

Answers

Step-by-step explanation:

Since the x-intercepts are -20 and 40, the line of symmetry is x = (-20 + 40)/2 = 10.

Now we have y = a(x - 10)² + 30, where a is an unknown constant. We can find a by using an x-intercept point.

=> (0) = a[(40) - 10]² + 30

=> 900a + 30 = 0, a = -1/30.

Hence the rule is y = -(x - 10)²/30 + 30.

What is the value of x?

Answers

Answer:

i just want the points

Step-by-step explanation:

i just want the points

You deposit $400 in an account earning 5% interest compounded annually. How much will you have in the account in 15 years?

Answers

Answer:

$700

Step-by-step explanation:

400 x .05=20

20x15=300

300+400=700

using number line write the integer which 5 more than -3​

Answers

Answer:

x = 2

Step-by-step explanation:

We need to write an integer that is 5 more than -3.

Let the integer be x.

So,

x = 5+(-3)

x = 5-3

x = 2

Hence, the required integer be 2.

6/7 into two decimal places.

Answers

Answer:

0.86

Step-by-step explanation:

You will get 0.85714.....

Then 0.86 is 2 dp

A boa is 3 meters long. A python is 197 centimeters long. Which snake is longer? + O boa O python How much longer cm​

Answers

Answer:

the boa is longer by 103 cm

Step-by-step explanation:

3 m = 300 cm

300 - 197 = 103

Answer:

the boa...

Step-by-step explanation:

convert meters to centimeters then compare the numbers.

It takes 6 labourers 7 days to complete a job. How many labourers would it take to complete the job in 3 days?
I
labourers​

Answers

Answer:

12 or 13

Step-by-step explanation:

14 labourers complete the job in 3 days.

What is the ratio?

The ratio is defined as a relationship between two quantities, it is expressed one divided by the other.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

Given data as :

It takes 6 labourers 7 days to complete a job,

Amount of work completed by 6 labourers over 7 days  = 1

Six labourers completed part of the work in one day = 1/7

one labourers completed part of the work in one day  = (1/6)(1/7) = 1/42

Let x number of labourers complete the job in 3 days.

x × 3 ×(1/42) = 1

x = 42/3

x = 14

Hence, 14 labourers complete the job in 3 days.

Learn more about the Ratio here :

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find the equation of a line that passes through (2 -3) and that is parallel to 5x+y=-2

Answers

Answer:

y = -5x +7

Step-by-step explanation:

You will have to change the equation to equal y.

y = -5x -2

Then find the paralell line which would be be the same slope but different equation so the answer should be: y = -5x + 7 by plugging in the numbers of the point. So -3 = -5(2) + x.

Solve for X,

-3 = -10 + x, add 10 to each side

7 = x

Please help me with this question

Answers

Answer:

An equation is y=-3x+7 (I chose slope-intercept form because they already showed us the slope). When y =13 x=-2

Step-by-step explanation:

plugin 13 for y and subtract 7 from both sides, this lets you get 6=-3x then divide 6 by -3 which makes x=-2

Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 4(m∠Y) − 210°. Find m∠Y.

Answers

Answer:

angle Y= 60 degrees

Step-by-step explanation:

angle S + angle Y = 90 degrees because they are complementary

Y = 90 - S

angle S = 4(Y)-210

substitute for Y

S = 4(90 - S) - 210

S = 360 - 4S - 210

reduce

5S = 150

S = 30

Y = 90 - 30 = 60

Tasha graphs a star with one tip at point ​S(-​3,1). What are the coordinates of the corresponding point after a 90 rotation about the​ origin?

Answers

Answer:

(-1,-3)

Step-by-step explanation:

Coordinate double equation

Answers

Answer:

????

Step-by-step explanation:

Sorry I can’t help but maybe another question

What do all Quadrilaterals have in common?

Answers

they have parallel lines and edges, both your answers are correct that you put

Answer:

The number of edges

Step-by-step explanation:

quad means 4 so all quadrilaterls have 4 sides.

Cody put 4 plates on the table. He put 1 Apple on each plate.what number sentence can be used to find the total number of apples on the table?

Answers

4 divided by 1 equals 4

Suppose P(t)represents the population of a certain mosquito colony, where. t is measured in days. The current population of the colony is known to be 574 mosquitos; that is, P(0)=574. If P'(0)=50 mosquitos per day, estimate the size of the population in 10 days.

Answers

Answer:

The estimated size of the population in 10 days is of 1372 mosquitos.

Step-by-step explanation:

Population after t days:

The population after t days is given by:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population and r is the growth rate, as a decimal.

P(0)=574.

So

[tex]P(t) = 574e^{rt}[/tex]

P'(0)=50

[tex]P^{\prime}(t) = 574re^{rt}[/tex]

Since P'(0)=50

[tex]574r = 50[/tex]

[tex]r = \frac{50}{574}[/tex]

[tex]r = 0.0871[/tex]

So

[tex]P(t) = 574e^{0.0871t}[/tex]

Estimate the size of the population in 10 days

This is P(10).

[tex]P(10) = 574e^{0.0871*10} = 1372[/tex]

The estimated size of the population in 10 days is of 1372 mosquitos.

The size of the population of mosquito follows an exponential model.

The size of the population in 10 days is 1370

The given parameters are:

[tex]\mathbf{P(0) = 574}[/tex]

[tex]\mathbf{P'(0) = 50}[/tex]

An exponential function is represented as:

[tex]\mathbf{P(t) = P(0) \times e^r^t}[/tex]

So, we have:

[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]

Differentiate

[tex]\mathbf{P'(t) = 574r}[/tex]

Substitute 0 for t

[tex]\mathbf{P'(0) = 574r}[/tex]

Substitute [tex]\mathbf{P'(0) = 50}[/tex]

[tex]\mathbf{50 = 574r}[/tex]

Divide both sides by 574

[tex]\mathbf{0.087 = r}[/tex]

So, we have:

[tex]\mathbf{r = 0.087 }[/tex]

The function becomes

[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]

[tex]\mathbf{P(t) = 574 \times e^{0.087t}}[/tex]

In 10 days, t = 10.

So, we have:

[tex]\mathbf{P(10) = 574 \times e^{0.087 \times 10}}[/tex]

[tex]\mathbf{P(10) = 574 \times e^{0.87}}[/tex]

Solve

[tex]\mathbf{P(10) = 1370}[/tex]

Hence, the size of the population in 10 days is 1370

Read more about exponential functions at:

https://brainly.com/question/11487261

Recall the equation for a circle with center (h, k) and radius r. At what point in the first quadrant
does the line with equation y = 2x + 4 intersect the circle with radius 3 and center (0, 4)?

Answers

Answer:

[tex]\displaystyle \Big(\frac{3\sqrt{5}}{5},\frac{6\sqrt5}{5}+4\Big)[/tex]

Step-by-step explanation:

Recall that the equation for a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center and r is the radius.

Then for a center of (0, 4) and a radius of 3, our equation is:

[tex]x^2+(y-4)^2=9[/tex]

We want to know at what point does the circle intersect with the line:

[tex]y=2x+4[/tex]

Therefore, we can solve for x. To do so, substitute the linear equation into the circle equation:

[tex]x^2+((2x+4)-4)^2=9[/tex]

Simplify:

[tex]x^2+(2x)^2=9[/tex]

Square:

[tex]x^2+4x^2=5x^2=9[/tex]

Divide both sides by 5:

[tex]\displaystyle x^2=\frac{9}{5}[/tex]

Therefore:

[tex]\displaystyle x=\pm\frac{3}{\sqrt{5}}=\pm\frac{3\sqrt{5}}{5}[/tex]

In QI, x is always positive, so we only need to consider the positive case:

[tex]\displaystyle x=\frac{3\sqrt{5}}{5}[/tex]

Using the linear equation again, we can see that:

[tex]\displaystyle y=2\Big(\frac{3\sqrt{5}}{5}\Big)+4=\frac{6\sqrt{5}}{5}+4[/tex]

Therefore, the point in which a circle with center (0, 4) and a radius of 3 intersects the line with equation y = 2x + 4 in the first quadrant is the point:

[tex]\displaystyle \Big(\frac{3\sqrt{5}}{5},\frac{6\sqrt5}{5}+4\Big)[/tex]

Or approximately:

[tex]\approx (1.342, 6.683)[/tex]

And we are finished!

The ratio of cats to dogs at an animal rescue is 70:63. If the ratio were to stay the same, how many dogs will there be if there are 10 cats?

Answers

Answer:

There are 9 dogs

Step-by-step explanation:

[tex] \frac{10}{x} = \frac{70}{63} \\ x = \frac{630}{70} \\ x = 9[/tex]

3. (03.01 MC)
Which expression is equivalent to 3(8 + 7)? (1 point)
24 + 7
24 + 21
11 + 10
11 + 7

Answers

24+21 is the answer

what is the rate of change for (2,1), (4,2), (6,3), (8,4)​

Answers

Answer:

x+2 y+1

Step-by-step explanation:

or do u want working out

Three students snow shoveled driveways and sidewalks after the last snow
storm. They earned a total of $210. If they split the money evenly how much
did each student recelve?

Answers

Answer:

Each student receives $70 dollars each.

Step-by-step explanation:

2+3=8,
3+7=27,
4+5=32,
5+8=60,
6+7=72,
7+8=??

Solve it

Answers

Answer:

98

2+3=2*[3+(2-1)]=8

3+7=3*[7+(3-1)]=27

4+5=4*[5+(4-1)]=32

5+8=5*[8+(5-1)]=60

6+7=6*[7+(6-1)]=72

therefore

7+8=7*[8+(7-1)]=98

x+y=x[y+(x-1)]=x^2+xy-x

Answer:

2*3 + 3* 7 = 27

4*3 + 5* 4 = 32

....

7*6 + 8*7 = 98

or it could be :

2+3-1 = 5 -1 = 4 *2 = 8

3+7-1 = 10-1 = 9 *3 = 27

4+5-1 = 9-1 = 8 * 4 = 32

5+8-1 = 13-1 = 12 * 5 = 60

6+7-1 = 13-1 = 12 *6 = 72

7+8-1 = 15-1 = 14*7 = 98

Step-by-step explanation:

HELP PLEASE WILL LEAVE GOOD REVIEW.

Answers

Answer:

Step-by-step explanation:

He needs 2.5 cm of ribbon left or in easier words 6 cm..-

Need do find the domain and range

Answers

Answer:

So

Domain: (-∞,∞)

Range: [[tex]-\frac{105}{8} ,[/tex]∞)

Step-by-step explanation:

Answer:

Domain: (-∞,∞)

Range: [-105/8,∞)

Step-by-step explanation: Hope this helps.

PLEASE HELP!!
How do I solve this?!?!?​

Answers

Answer:

id say just try your best or guess

Step-by-step explanation:

ouu try to put it in a calculator but uhm my answer would be a

. Which is bigger 35% of £260 or 45% of £220?*​

Answers

45% of £220 because it may be a lower number but the percent is a lot higher

Multiply the sum 5 and 3 and the sum of 8 and 9

Answers

Answer:

8 x 17 = 136 give me brainliest

Step-by-step explanation:

Consider the graph of the function
f(x)=2^x



Answers

Answer:

D. The y-intercept is at (0,2)

Step-by-step explanation:

f(x) = 2^x and g(x)=2f(x) so g(x) = 2(2)^x

In the exponential function ab^x a is the y-intercept (in this case a is 2)

Y-intercept of g(x) at (0,2) which is correct option(D).

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

f(x) = 2ˣ

g(x) = 2f(x) = 2(2ˣ)

The y-intercept of g(x) = 2f(x),

Substitute in 0 for x and solve for y

y=2(2⁰)

Anything raised to 0 is 1 .

y=2

Y-intercept in point form.

Hence, y-intercept of g(x) : (0,2)

Learn more about Graph here :

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