In the accompanying diagram, parallelogram ABCD has
vertices A(2, 1), B(8,1), C(11,5), and D(5,5). What is the
area of parallelogram ABCD?

Answers

Answer 1

Answer:

The area of the paralellogram is 24 square units.

Step-by-step explanation:

Geometrically speaking, the area of the parallelogram has an equation equivalent to the area formula for a rectangle, that is:

[tex]A = b\cdot h[/tex] (1)

Where:

[tex]A[/tex] - Area.

[tex]b[/tex] - Base.

[tex]h[/tex] - Height.

The base and height of the parallelogram are, respectively:

Base

[tex]b = 8-2[/tex]

[tex]b = 6[/tex]

Height

[tex]h = 5-1[/tex]

[tex]h = 4[/tex]

Then, the area of the parallelogram is:

[tex]A = (6)\cdot (4)[/tex]

[tex]A = 24[/tex]

The area of the paralellogram is 24 square units.


Related Questions

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%

When Alan and Brady stood together on the scale, their total weight was 250 lb.
Brady and Charles were weighed together, and their total weight was 300 lb.
Charles and Damien weighed 280 lb. when they stood on the scale together.
Initially, when Charles, Damien, and Brady all stood on the scale together, it
registered 420 lb. How much does each of the boys weigh?

Answers

Answer:

Alan: 110 lb.

Brady: 140 lb.

Charles: 160 lb.

Damien: 120 lb.

Step-by-step explanation:

Which of the following statements about a rhombus is not true?
A rhombus is a parallelogram.
A rhombus has two sets of parallel sides.
A rhombus has four sides of equal length.
A rhombus has four right angles.

Answers

i think it’s the last one, “ a rhombus has four right angles “

Answer:

„A rhombus has four right anglesv” → is not true.

Step-by-step explanation:

This is a parallelogram. It is a quadrilateral with two pairs of parallel sides. Here, the opposite angles are alternate, that is, they have togheter 180°.

Rhombus

This is a rhombus. It is a quadrilateral whose four sides all have the same length. Here, the diagonals of a rhombus intersect at equal angles.

A rhombus has opposite angles equal and the figure formed by joining the midpoints of the sides of a rhombus is a rectangle, and vice versa. It has an inscribed circle.

Good luck:)

Find the 1st 4 iterations if f(o)= -2, f(n)= 3f(n-1)-2n

Answers

Answer:

Step-by-step explanation:

f(0) = -2

f(1) = 3*(f(1 - 1)) -  2*1

f(1) = 3(-2) - 2

f(1) = - 6 - 2

f(1) = - 8

f(2) = 3*(f(1)) - 2*2

f(2) = 3*(-8) - 4

f(2) = -24 - 4

f(2) = - 28

f(3) = 3*(f(2)) - 2*3

f(3) = 3*-28 - 6

f(3) = -84-6

f(3) = - 90

f(4) = 3*f(3) - 2 * 4

f(4) = 3*-90 - 8

f(4) = -270 - 8

f(4) = -278

24 pencils cost $1.20, how much will one pencil cost?

4.5 pound of apples costs $22.50. What is the unit price?

Answers

Answer:

1) $0.05

2) $5.00

Step-by-step explanation:

1)

1.2/24 = 0.05

2)

22.5/4.5 = 5

please help
1. find 15% of 120
2. what percent of 72 is 68.4
3. 12.5 is 8% of what number?
4. 48 is 40% of what number
5. what number is 62.5% of 195

Answers

For question 1:
1% = 120 ÷ 100 = 1.2
15% = 1.2 × 15 = 18
So, 15% of 120 is 18

For question 2:
68.4 ÷ 72 = 0.95
0.95 × 100 = 95%
So, the percentage is 95%

For question 3,
1% = 12.5 ÷ 8 = 1.5625
100% = 1.5625 × 100 = 156.25
So, 8% of 12.5 is 156.25.

For question 4,
1% = 48 ÷ 40 = 1.2
100% = 1.2 × 100 = 120
So, 40% of 48 is 120.

For question 5,
1% = 195 ÷ 100 = 1.95
62.5% = 1.95 × 62.5 = 121.875
So, 62.5% of 195 is 121.875

Answer:

1.  18        3. 52       5. 95%

Step-by-step explanation:

1. 120 x 0.15= 18.00 (15% of 120 is 18)

3. 84 x 0.03= 2.52

5. 72• x / 72 = 68.4/ 72

x=0.95 ⇒ 95%

The circumference of a circle is 2\piπ m. Find its radius, in meters.


NO FILES TYPE THE ANSWER PLZ

Answers

Answer: r=C2π=22·π≈0.31831

Hope this helps!

Pls answer fast and no bs links or I’ll report

Answers

Answer:

Step-by-step explanation:

a c e

Round off 631 to the nearest 100

And also round off 8348 to the nearest 100

Answers

Answer:

600

8300

Step-by-step explanation:

Answer:

1) 600

2) 8300

Step-by-step explanation:

Okay so rounding is simple

If the place digits before the digit your rounding to is 1-4 then just everything stays the same. If its 5 or above then you round the number up and put everything else into 0s.

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

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:

You have 4 hours, and 50 questions. If you have the same amount of time per question, how long will 1 question take?

Answers

4,8 minutes

Plz give brainliest

Can you help me. .....................

Answers

Answer:

2

Step-by-step explanation:

Three less means -3 so, y=x-3. Good luck.

Expand and simplify: (2x + 5y) (3x − 2y)

Answers

Answer:

Expand:5x+3y

Simplify:6x^2+11xy-10y^2

Step-by-step explanation:

2x(3x-2y)+5y(3x-2y)

6x^2-4xy+15xy-10y^2

6x^2+11xy-10y^2

Assignment
Active
Finding the Unknown Angle Measure
What is the measure of M?
v
52
1
P.
78
M

Answers

Answer:

52+78+x=180

130+x=180

X=180-130

X=50°

Calculate the closing price of a bond that has a face value of $1,000 and is closing at 101 7/8% of the face value.

A. $1,001.78
B. $1,000.78
C. $1,018.75
D. $1,000.75

Answers

Answer:

The present value of this bond is simply the sum of these two present values: ... an investment in an 8%, $1,000 par value, 5-year Government of Canada bond. ... D.T-bill yield is calculated as (100-price)/price x (365/term) x 100. ... maturity (per $100 face value) for a bond with a 7.0% coupon, current market price of $107.50 ...

Step-by-step explanation:

The answer is C $1,018.75

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!

PLEASE HELP Select from the drop-down menus to correctly complete the sentence.The

outcome?,or sample space? or probability?

of a compound event is a number between 0 and 1? or 0 and 10? or 1 and 10?or 1 and 100?.

Answers

Answer:

The probability of a event is a number between 0 and 1 or 1 and 10 or 1 and 100.

Step-by-step explanation:

The correct answer is - The probability of a event is a number between 0 and 1 or 1 and 10 or 1 and 100.

Reason -

Probability - It is a number between 0 and 1

Sample space - All the possible outcomes of an experiment.

Outcome - One of the individual results that can occur in an experiment.

Event: A subset of the sample space

Compound event : A event with more than one outcome.

ILL BRAINLIEST YOU IF YOU GET IT RIGHT

Which diagram shows a pair of angle measure that proves lines c and d are parallel?

Answers

Answer:

C

Step-by-step explanation:

At first glance, it seems like all the answers work. But some careful thinking allows us to find the correct answer.

For this question, we will be using the process of elimination.

First, we can eliminate D, because it does not provide any angles on line d, so we cannot prove that line c is parallel to line d.

Second, we can eliminate A. It seems that the 2 angles makes it so that lines c and d must be parallel, however, that is only true if lines a and b are parallel. Since we don't know whether or not lines a and b are parallel, we cannot prove that lines c and d are parallel, so we can eliminate this choice.

Third, we can eliminate B. Like the diagram in A, this diagram can only prove lines c and d are parallel if lines a and b are parallel, and since we don't know whether or not lines a and b are parallel, we cannot prove tat lines c and d are parallel, so we can eliminate this choice.

We are left with C, so the answer must be C.

Of course, just to make sure, we will also check diagram C. Because the 2 angles provided in the diagram are on line a and none are on line b, we do not need line a to be related to line b in any way, as such we can pretend that line b does not exist in this diagram. We can then see that lines c and d must be parallel for this diagram, or else the angles would not work, so C is correct.

Two angles whose sum is 180° are called supplementary angles. The correct option is C.

What are supplementary angles?

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

When two parallel lines are cut by a transverse. The angles formed on the exterior of the parallel lines are known as the Exterior Angle.

Now, For two lines two be parallel in the given diagram the measure of the angle the exterior angle on the same side of the transverse should be supplementary to each other.

The diagram shows a pair of angle measure that proves lines c and d are parallel in option c. This is because lines c and d are parallel and a is transversal to the two lines. And the measure of the exterior angles formed on the same side of the transversal is supplementary.

Hence, the correct option is C.

Learn more about Supplementary angle here:

https://brainly.com/question/2882938

#SPJ2

Triangle JKL with vertices J(1,-1), K(2,3), and L(3,-2) in the line x=4 ANSWER RIGHT NOW BEEN WAITING AN HOUR NOW

Answers

Answer:

hahhahahqhqhqhhajajahahahahahwhwhwhwhwh

Need helpppp helppp plzzzz 20 points

Answers

Answer: 7^3/7^6= 1/343

Step-by-step explanation: We move 7^-6 to a denominator because we cannot have a negative exponent in the numerator.

So it would be 7^3/7^6

Which then would be 7*7*7/7*7*7*7*7*7

Which would equal 343/117649

Simplify and you get 1/343

it’s 69 bc add 1 to 19

BRAINLIEST ANSWER (70 points)

Solve for x

Answers

Answer:

x = 22

Step-by-step explanation:

6x + 48 = 180

6x = 132

X = 22

what is the equation that represents the line

Answers

Answer:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

Step-by-step explanation:

Kyle is a satellite radio sales representative. He receives 7% commission on all sales. If
the total sales for the year were $345,000, what would his commission be?

Answers

Answer:

24,150

Step-by-step explanation:

7% of 345,000 = 24,150

Number 6 please help 10 points

Answers

Answer: The graph would have 4 bars

Step-by-step explanation: The graph would have 4 bars because there are 4 numbers

Please help me In a geometric series, each term is 21% less than the previous term. What is the value of r for this
geometric series?
0.79
0.21
1
1.21
1.21

Answers

Answer:

A

Step-by-step explanation:

You need a value that keeps 79% of the previous value. 79% is 0.79 as a decimal.

You get that by taking 100% of the value and subtracting 21% of the value. Said easier (100% x - 21%x = 79% of x.

r = 0.79

answer this question for brainliest and 20 points

Answers

Answer:

Least to greatest: 2, 3, 1

Step-by-step explanation:

Square root of 8 over 2 is about 1.41 which makes it the least value

2 is obviously equal to 2 which puts it in the middle

Square root of 7 is about 2.64 which makes it the greatest value

In the equation: (16)^3=2^3/2x how could you solve for x?

Answers

Answer:

x = 8

Step-by-step explanation:

16 is the same as 2^4

(2^4)³ = 2^3/2x

2^12 = 2^3/2x

as long as bases are both the same then set exponents equal

12 = [tex]\frac{3}{2}[/tex]x

3x = 24

x = 8

Melissa is saving money to buy a game. So far she has saved $20, which is four-fifths of the total cost of the game. How much does the game cost?

Answers

Answer:

25

Step-by-step explanation:

5 10 15 20 25

Answer:

25 dollars

Step-by-step explanation:

20 divided by 4 equals 5 then times that by 5 equals 25 then thats the total and ur answer is 25

A coffee shop sells 40 regular coffees out of every 120 coffees they sell. Predict how many regular coffees the shop would sell if they sold 960 coffees.

Answers

Answer:

320

Step-by-step explanation:

960 ÷ 120 = 8

40 × 8 = 320

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