On a coordinate plane, parallelograms A B C D and E F G H are shown. Parallelogram A B C D has points (4, 2), (7, 2), (4, 6), (1, 6). Parallelogram E F G H has points (negative 2, 2), (negative 5, 2), (negative 6, 6), and (negative 3, 6). How do the areas of the parallelograms compare? The area of parallelogram ABCD is 4 square units greater than the area of parallelogram EFGH. The area of parallelogram ABCD is 2 square units greater than the area of parallelogram EFGH. The area of parallelogram ABCD is equal to the area of parallelogram EFGH. The area of parallelogram ABCD is 2 square units less than the area of parallelogram EFGH.

Answers

Answer 1

Answer:

The area of parallelogram ABCD is equal to the area of parallelogram EFGH.

Step-by-step explanation:

Given

Parallelogram ABCD

[tex]A = (4,2)[/tex]

[tex]B = (7,2)[/tex]

[tex]C =(4,6)[/tex]

[tex]D = (1,6)[/tex]

Parallelogram EFGH

[tex]E =(-2,2)[/tex]

[tex]F = (-5,2)[/tex]

[tex]G = (-6,6)[/tex]

[tex]H = (-3,6)[/tex]

Required

Compare the areas of both parallelograms

The area of a parallelogram is:

[tex]Area =Base * Height[/tex]

So: To do this, we plot ABCD and EFGH on a grid, then we measure the base and the height of both.

See attachment 1 for ABCD

In (1), we have:

[tex]Base = 3\ units[/tex]

[tex]Height = 4\ units[/tex]

So, the area is:

[tex]A_1 = 3 * 4[/tex]

[tex]A_1 = 12[/tex]

See attachment 2 for EFGH

In (2), we have:

[tex]Base = 3\ units[/tex]

[tex]Height = 4\ units[/tex]

So, the area is:

[tex]A_2 = 3 * 4[/tex]

[tex]A_2 = 12[/tex]

By comparison, they both have the same areas

On A Coordinate Plane, Parallelograms A B C D And E F G H Are Shown. Parallelogram A B C D Has Points
On A Coordinate Plane, Parallelograms A B C D And E F G H Are Shown. Parallelogram A B C D Has Points
Answer 2

Answer:

C)

Step-by-step explanation:

e2020


Related Questions

your friend decides to toast a piece of bread, but leaves it in the toaster too long. the bread is black and the kitchen is full of smoke.
is the change chemical or physical. and give evidence ​

Answers

Answer:

Chemical because there is a change in color and the smoke is a change of substance.

Step-by-step explanation:

Answer:

Chemical.

Explanation:

So, before the bread was the normal color like all breads are, but then the bread was in the toaster for way to long. It started to turn black. Therefore, the change of color would be a chemical change.

Also this is the wrong subject. I'm pretty sure it's supposed to be Biology.

The line segment shown is translated down 4 units, what are the new coordinates of B?
(0.3)

Answers

Answer:

(0, - 1 )

Step-by-step explanation:

A translation down means subtracting 4 from the y- coordinate of the point, that is

B(0, 3 ) → B'(0, 3 - 4 ) → B'(0, - 1 )

What is the slant height x of the square pyramid?

The figure shows a square pyramid. The slant height is shown as a dashed line perpendicular to the base edge and is labeled as x. The length of half of the base edge is 3 meters. The lateral edge makes a 30 degree angle with the lateral height.

Enter your answer in the box. Express your answer in radical form.

x =
m

Answers

c=872x
m is A
Explanation:

Which of these n values are solutions to the following equation?
n2 = 2.25
Choose all answers that apply:
А)
n = 1.1
В)
n = -1.1
C)
n = 1.4
D)
n = -1.4
E)
None of the above

Answers

Answer:

None of the above

Step-by-step explanation:

Square root of 2.25 is 1.5, not 1.4

Answer:

none of the above

Step-by-step explanation:

did it on khan

PLEASE HELP ME ANSWER!

Answers

Answer:

dsg

Step-by-step explanation:

srg

Answer:

x= 110

Step-by-step explanation:

vertical angles

set up :

6x + 115 = 7x +5 (subtract 6x from both sides)

115 = x +5 (subtract 5 from both sides)

110 = x (your answer)

CHECK:

6(110) + 115 = 775

7(110) + 5 = 775

2/3 - 3/2y + 1/3y + 4 = 0​

Answers

Answer:

y = 4

Step-by-step explanation:

(2/3 + 4) + (-3/2y + 1/3y) = 0

(-3/2y + 1/3y) = -4 2/3

-9/6y + 2/6y = -14/3

-7/6y = -14/3

cross-multiply:

-21y = -84

y = 4

Answer:

y = 4

Step-by-step explanation:

Please use parentheses for clarity, remembering what big differences they make in expression values.

I will assume that your "2/3 - 3/2y + 1/3y + 4 = 0​" actually means

2/3 - (3/2)y + (1/3)y + 4 = 0​

The LCD here is 6, which is the product of the denominators 2 and 3.

Then your "2/3 - 3/2y + 1/3y + 4 = 0​" becomes:

                     4  - 9y    + 2y + 24 = 0, which simplifies to:

                     28 - 7y = 0.  Solving this, we get y = 4

An expression is given that has a value between 4.44.4 and 4.54.5, and where xx represents an integer. ​ ​ \sqrt{x}+\sqrt{x} x ​ + x ​ ​ What is the value of xx?

Answers

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

Given

[tex]\sqrt x + \sqrt x = (4.4,4.5)[/tex]

Required

Find x

When the result is 4.4, we have:

[tex]\sqrt x + \sqrt x = 4.4[/tex]

This gives:

[tex]2\sqrt x = 4.4[/tex]

Divide both sides by 2

[tex]\sqrt x = 2.2[/tex]

Square both sides

[tex]x = 2.2^2[/tex]

[tex]x = 4.84[/tex]

When the result is 4.5, we have:

[tex]\sqrt x + \sqrt x = 4.5[/tex]

[tex]2\sqrt x = 4.5\\[/tex]

Divide both sides by 2

[tex]\sqrt x = 2.25[/tex]

Square both sides

[tex]x = 2.25^2[/tex]

[tex]x = 5.0625[/tex]

So, the value of x is between 4.84 and 5.0625

i.e.

[tex]x = (4.84,5.0625)[/tex]

The only integer between the above interval is 5.

Hence:

[tex]x = 5[/tex]

What ia the Lcm of 99 and 24

Answers

Step-by-step explanation:

792

........

........

........

.......

........

...

The LCM of 24 and 99 is 794

TIME REMAINING
57:54
What is the common ratio between successive terms in the sequence?

27, 9, 3, 1, one-third, one-ninth, StartFraction 1 over 27 EndFraction, ...

–3


3

Answers

Answer:

1/3

Step-by-step explanation:

Answer:

1/3 or c on edge

Step-by-step explanation:

guys please help me with this question, I’d appreciate it a lot

Answers

Answer:

x = 33°

Step-by-step explanation:

sin x = 6/11

sin x = o.5455

x = 33°

You deposit $3000 into an account that pays 4.8% interest, compounded monthly. A) What is the value of the account after 5 years?B) How long will it take for the value of the account to reach $6000?

Answers

Answer:

14.4 years (about 14 years 6 months)

Step-by-step explanation:

Given data

Principal= $3000

Rate= 4.8%

A. Time= 5 years

The expression for compound interest is

A=P(1+r)^t

Substitute

A= 3000(1+0.048)^5

A= 3000(1.048)^5

A=3000*1.264

A=$3792

Hence the balance will be $3792

B. Final Amount A = $6000

The expression to find time is given ast

t= ln(A/P) / r

substitute

t= ln(6000/3000)/0.048

t= ln2/0.048

t= 0.6931/0.048

t=14.43

Hence the time is 14.4 years (about 14 years 6 months)approx

A 12 feet tall street light is making an 18 feet shadow at the same time in nearby building is making a 72 feet shadow

Answers

Answer: 48 ft

Step-by-step explanation:

Given

Height of street light h=12 ft

length of shadow x=18 ft

Shadow length of building x'=72 ft

suppose the height of the building is y

from the figure, we can write

[tex]\Rightarrow \tan p=\dfrac{h}{x}=\dfrac{12}{18}\\\\\Rightarrow \tan p=\dfrac{y}{x'}=\dfrac{12}{18}\\\\\Rightarrow y=72\times \dfrac{2}{3}=48\ ft[/tex]

how to solve 9x-5-(-6x) ​

Answers

Answer: 3x-5

Step-by-step explanation:

9x-5(-6x)

9x-5-6x

3x-5

Answer:

15x - 5

Step-by-step explanation:

We have the equation 9x - 5 - (-6x) and are asked to solve it.

We cannot combine 9x and 5 because they have a variable difference, with 9 having x as its variable and 5 having no variable. What we can do is distribute the minus sign to the right of 5 to (-6x), lets do as said :

9x - 5 - (-6x)

Two negatives make a positive, therefore :

9x - 5 + 6x

Since 9x and 6x have the same variable ending, we can combine them, do as followed :

9x - 5 + 6x

9x + 6x

15x - 5

Solve the following system of equations algebraically:
y=x^2-3x+10
y=x+10

Answers

good luckkkkkkkkkkkk
Hope this helps
Answer:
(0,10) , (4,14)

Can someone help me with this

Answers

Answer:

I believe it is 30 toy planes

Hope this helps.

Step-by-step explanation:

toy cars - 2 = 12

toy planes - 5 = 30

total - 7 = 42

Use the distributive property with factoring to find the equivalent expression. 24n + 32w = (3n + w)

Answers

Answer:

Step-by-step explanation:

24n + 32w = (3n + w)

We're asked to use distributive property, this means that we have to find a way that the given expression on the left hand side is equal to the given incomplete exresssion on the right hand side. In so doing, we're fulfilling the distributive property tag.

Given 3n, 3 factorises 24 into 8, and at the same time, factorises 32 into 4. Thus, we can then conclude that

24n + 32w = 8(3n + 4w)

What’s the answer no work needed
Given f (x) = 5x2 and g(x) = 2x + 3, find f(g(-4))

Answers

Answer:

125

Step-by-step explanation:

Given

f(x) = 5x²

g(x) = 2x + 3

Now

g(-4) = 2 * (- 4) + 3

= - 8 + 3

= - 5

Also

f(g(-4)) = f( -5)

= 5 * ( -5)²

= 5 * 25

= 125

Please answer, no jokes or fakes or report ​

Answers

Answer:

375.2887 ft is the answer

Answer:

375.3 ft

Step-by-step explanation:

What we need to do first is divide 175 by the sine of 25°.

175/sin(25°)

175/0.422618

175/1 * 500000/211309

25/1 * 500000/30187

12500000/30187

414.085534 = length of hypotenuse.

Now, find the square root of the difference between c² & a².

b = √414.09² - 175²

b = √171470.528 - 30625

b = √140845.528

b = 375.293922

b ≈ 375.3

The horizontal distance between the technician and the base of the telephone pole is 375.3 ft.

What is the area of the square?

Answers

The answer is multiplying the height by the length which would be 16

Answer:  16

Step-by-step explanation:

All you do is count the space in between 0 and 5 and then take that number and multiply it by itself.  

Given that cos 57° = 0.545, enter the sine of a complementary angle.
sin
h

Answers

Answer:

sin 33° = 0.545

Step-by-step explanation:

complementary angle to 57° is 33°

sin 33° = 0.545

Geoff found the area of the figure.
Which expressions could he have used? Select all that apply.

Answers

Answer:

a and d

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

we can split it and find areas and plus them

QUICKKKKKKKKKK I NEED THIS ANSWER
IF WRONG REPORTED

Answers

Answer:

D

Step-by-step explanation:

A man travels 2 miles, turn left and travels 3 miles, turn left again and travel 6 miles. How far is he from the starting point?​

Answers

Answer:

11

Step-by-step explanation:

2+3+6=11 miles

hope i helped.......


Devonte is balancing his checking account. His account statement does not include a deposit of $107.00 that he
made on November 1st. What is Devonte's actual account balance?

Answers

Answer:

its  $1,330.26 D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Polygon ABCD is a scaled copy of polygon EFGH.
Which angle corresponds to angle F?

A
B
C
D

Answers

Answer:

Step-by-step explanation:

Mount McKinley, in Alaska, is about 3.848 miles high. If a mountain climber can climb 0.25 miles per day, about how long to the nearest day, would it take to climb Mount McKinley?

Answers

Answer:

About 16 days.

Step-by-step explanation:

The mountain is 3.848 miles high and you climb 0.25 miles a day. So you have to divide 3.848 by 0.25 and you get 15.392. But since you have to round it to the nearest day, you round it up to 16 because if you round down to 15 you still have 0.392 of a day leftover.

HELP WITH THESE TWO PLEASE

Answers

the first answer is 7. the radius of a circle is always half the diameter. in the second one, the answer will be 6.

help please i really need it

Answers

The answer is
b
Hope this helped

determine if the sequence is arithmetic or geometric and determine the common difference/ ratio in simplest form
3,12,21​

Answers

Answer:

Hello ♡

The answer to your question is :

2,12,21 is an arithmetic sequence with a common difference of +9 between each of them .

Step-by-step explanation:

Good luck ^^

Hope this helps u ;)

A picnic is attended by 3 senior citizens, 12 adults, and 4 teenagers. Write a ratio of:

a. Senior citizens to adults

b. Teenagers to senior citizens

c. Adults to people at the picnic

Answers

a. 3:12, reduced is 1:4
b. 4:3
c. 12:19
I agree with the other comment!!
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