Find the area A of polygon CDEFGH with the given vertices. C(0,5), D(2,5), E(2,3), F(3,2), G(-1,2), H(0,3)

Answers

Answer 1

Answer:

The area of the polygon CDEFGH is 7

Step-by-step explanation:

Area of a Polygon

The area of a polygon is generally calculated as the sum of the smaller areas that form its full shape, give each partial area has a known shape, like a square, rectangle, triangle, circle, etc.

The six points given in the question are plotted in the image below. They form a polygon whose area can be divided into two smaller shapes:

The area CDHE is a square of length side 2. Area of a square:

[tex]A1=L^2[/tex]

The area HEFG is a trapezoid with bases lengths 4 and 2,  and height 1. Area of a trapezoid:

[tex]\displaystyle A2=\frac{b1+b2}{2}h[/tex]

Calculate both areas:

[tex]A1=2^2=4[/tex]

[tex]\displaystyle A2=\frac{2+4}{2}\cdot 1=3[/tex]

Total Area=4+3=7

The area of the polygon CDEFGH is 7


Related Questions

During the past football season, the quarterback completed 60 passes in 102 attempts. What was his pass completion average? (Round to the nearest whole number percentage.)

1.7%
5.9%
59%

Answers

The answer is 1.7 so yeah

HELP QUICK!!!!! PICTURE

Answers

Answer:

The answer will be A

Answer: a. 2.3 x 10³

Step-by-step explanation:

You first divide 6.9 by 3 which is 2.3

When dividing numbers with exponents you subtract them, so you subtract th exponent 8 by the exponent 5 which is 3 (10³)

What's the sum of 2/5 and 2/4?
A. 8/20
B. 6/7
c. 9/10
D. 10/20

Answers

Answer:

The answer is c.

Step-by-step explanation:

how are liters is 22,500 ml

Answers

Answer:

22.5 Liters

Step-by-step explanation:

Use google to convert

Answer:

I GOT U

Step-by-step explanation:

22.5

7. Identify the appropriate mixed number for the picture shown.
O A. 1²
O B. 3
C. 244
O D. 2 ½

Answers

The answer for this question is D because you have 2 full squares and then one half of square so 2 1/2.

Find the equation of the line that
is parallel to y = 1/2x – 4 and
contains the point (4,5).

y = 1/2x + [?]

Answers

Answer:

Step-by-step explanation:

y - 5 = 1/2(x - 4)

y - 5 = 1/2x - 2

y = 1/2x + 3

write 3.72* 10 power of -2 in standard form

Answers

Answer:

0.0372

Step-by-step explanation:

Convert  to scientific notation.

Answer:

0.0372 or 93/2500

Step-by-step explanation:

3.72 x 10 = 37.2

10 to the power of -2 = 0.01

3.72 x 10 to the power of -2 =

0.0372

93/2500

Hope this helps! <3

-11x-6+20x=57
plz show work

Answers

Step 1: combine like terms
9x -6 = 57
Step 2: add 6 to both sides
9x = 63
Step 3: divide 9 to both sides
x=7

Answer:

X = 7

Step-by-step explanation:

-11x - 6 + 20x = 57 (Collect like terms)

9x - 6 = 57 (Add 6 on both sides)

9x = 63 (Divide by 9 on both sides)

x = 7

(PLUG IN)

-11(7) -6 + 20(7) = 57

-77 - 6 + 140 = 57

-83 + 140 = 57

57 = 57 √

7. Mark needs to move to a new apartment and is trying to find the most affordable moving truck. He will only need to truck for one day. After checking the U-Haul website, he finds that he can rent a 10 - ft truck for $20.95 a day plus $1.89 per mile. He then checks the Public Storage website and finds the charge to be $37.95 a
day plus $1.19 per mile for the same size truck. Determine the number of miles for which the cost to rent from either company would be the same. Round the answer to the nearest mile (5 points).

Answers

Answer:

24 miles

Step-by-step explanation:

Let the number of miles = x.

U-Haul:

1.89x + 20.95

Public Storage:

1.19x + 37.95

Set the costs equal and solve for the mileage, x.

1.89x + 20.95 = 1.19x + 37.95

0.7x = 17

x = 24.29

Answer: 24 miles

Solve for the value of z. (z+2)° (4z-7)°​

Answers

Answer:

Z=0.8

Step-by-step explanation:

Step-by-step explanation:

Combine the opposite terms

2z+2+4z=7

Add

2z and 4z

6z+2=7

Move all terms not containing z to the right side of the equation.

Subtract 2 from both sides of the equation.

6z=7−2

6z=5

Divide each term:

6z/6 = 5/6

Decimal Form:

z=0.8

A carpenter is building a rectangular fence for a playground. One side of the playground is the wall of a building 70 ft. wide. He plans to use 340 feet of fencing maerial what is the length of the playground if the width is 70ft

Answers

Answer:

sorry , but where is the question?

Please help me find the value of x with all the work

Answers

Answer:

x = 21

Step-by-step explanation:

the angles 5x - 35 and 3x + 7 are vertical angles and congruent, thus

5x - 35 = 3x + 7 ( subtract 3x from both sides )

2x - 35 = 7 ( add 35 to both sides )

2x = 42 ( divide both sides by 2 )

x = 21

X=21 lmk if you need the work shown

Will mark brainist to the first person who comments!

Answers

Answer:

TRY B

Step-by-step explanation:

TRY B

Write 675,000,000 in scientific notation.

Answers

Answer:

= 6.75 × 10^8

Step-by-step explanation:

What is the absolute value of -2/3??? PLEASE HELP!

Answers

Answer:

2/3

Step-by-step explanation:

The absolute value of a negative number will switch to a positive when the indicators are removed.

Solve the system of equations.
Y=9x-17
y = x + 23

Answers

Answer:

y=9x-17; x=17/9 or x=1 8/9 or x=1.8

y=x+23; x= -23

Step-by-step explanation:

y=9x-17

0=9x-17 (Move variables to the left-hand side and change its sign)

-9x=-17 (Divide both sides of the equation by -9)

x=17/9, x=1 8/9, or x=1.8

y=x+23

0=x+23 (To find x-intercept/zero, substitute y=0)

-x=23 (Move variable to the left-hand side and change its sign)

x= -23 (Change the signs on both sides of the equation)

x= -23

Answer:

x = 5

y = 28

the expressions both equal y so they are equal to each other.  so you right the equation as

9x - 17 = x + 23

then you subtract x from both sides

and then add 17 to both sides

the final step is to divide 8 on both sides and that gives you the answer x = 5. then you plug that back into the problem so...

y = 5 +23

so y = 28.

hope this helped!

In the figure above, lines k, l, and m intersect at a point. If x + y = u + w , which of the following must be true?

Answers

Answer:

B)

Step-by-step explanation:

First, let's write down what we know based on the Vertical Angle Theorem and the info given by the question:

1. Vertical angle theorem claims that opposite angles are the same, therefore:

y=ux=tw=z

2. We know from the problem that:

x+y = u+w

3. Now for the proofing:

Since  x+y = u+w, let us try to cross off the variable u and see if we can get x equaling to w.

We know that y=u, so let us switch out y for another u, allowing the same variable to cross out

x+y = u+w --> x+u = u+w --> x=w

Ok now we know x=w, and recall that w=z. So x would also equal to z!

Let us try to proof z=t:

We know that x=t

But now we also know that x=z (from previous)

Therefore we can substitute the z in for x in x=t and voila z=t!

Try finding out if y=w. No matter how many equations you create, they are not the same. It would not make sense either if you use this equation: x+y = u+w. If w and x are the same then y cannot be anything except being equal to "u". We cannot prove that u is equal to anything else either.

Therefore the answer is B)

From the given equation we have x=z and t=z. Therefore, option B is the correct answer.

Given that, lines k, l, and m intersect at a point.

What is vertical angle theorem?

Vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.

From the given figure,

Using vertical angle theorem, we have

x°=t°

y°=u°

w°=z°

If x + y = u + w, then

x+u=u+z

⇒ x=z

If x + y = u + w, then

t+u=u + z

⇒ t=z

So, x=z and t=z

From the given equation we have x=z and t=z. Therefore, option B is the correct answer.

To learn more about the vertical angle theorem visit:

brainly.com/question/8119520.

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CHARITY Janet is walking 20 laps of a track in a
relay to raise money for cancer research. If each lap
is 350 meters, how many miles will Janet walk?
(Hint: 1 meter 1.094 yards and 1 mile = 1760 yards)

Answers

Answer:

Step-by-step explanation:

B. 4.35miles

Tell whether the relationship is proportional?

Answers

The relationship is proportional because both values increase at a constant rate

answer to this???????

Answers

Answer:

At a bus stop, 8 people got off the bus and 10 people go on. This means that the number of passengers increased by 2.

Step-by-step explanation:

The first one would e -8-10=-18

Second one would just be wrong. Each goldfish would be 5/4 of a dollar, so it cannot be possibly represented by the equation.

It would just be 8x=10

The last one is correct because it accurately depicts 8 people getting off(-8) and 10 people getting on(+10) which means that the passengers increased by two. This corresponds to the given equation.

Pls i need it like now

Answers

You need to put the x or y value in the other equation ;
For example excersize a
It given that
Y=x^2+3x-1
Then you put it on the first equation :
x+x^2+3x-1=4
And then you solve it
x+x^2+3x-1-4=0
4x+x^2-5=0
We will make the order to seem easier
x^2+4x-5=0
x1=-5
x2=1
Then you put the x1,2 that you found on the second equation :
y=(-5)^2+3*(-5)-1=9
y=1^2+3*1-1=3
For summary :
x1=-5
x2=1
y1=9
y2=3

A garden table and a bench cost $600 combined.

The cost of the garden table is three times the cost of the bench.

What is the cost of the bench?

Answers

$150
Garden table: $450 (x3 150)
Bench: $150
Total: $600
Hope this helps!

Answer:

$150

Step-by-step explanation:

A garden table and a bench together will cost $600. The actual values of the garden table and the bend are not given, but we know that the cost of a garden table will cost three times more than the bench.

Let [tex]x[/tex] = the cost of the bench.

Again, since the cost of the garden table is three times the cost of the bench ([tex]x[/tex]), we can represent the garden table as three times [tex]x[/tex] ([tex]3x[/tex]). These two terms will equal $600 when added, so let's formulate an equation:

[tex]3x+x=600[/tex]

Combine like terms:

[tex]4x=600[/tex]

Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]4[/tex]:

[tex]x=150[/tex]

_

Check your work by substituting [tex]150[/tex] into the original equation:

[tex]3(150)+(150)=600[/tex]

[tex]450+150=600[/tex]

[tex]600=600[/tex]

Our answer is correct!

Finding the Slope of a Line on a Graph
ty
4
What is the slope of the line on the graph?
01
112
O 2
2.
-2 4

Answers

Answer:

You meant 1 1/2. Answer : Y intercept

Step-by-step explanation:

The slope of the line on the graph as per the given scenario is 2.

What is Graph?

In mathematics, a graph is a visual representation of a set of data or mathematical relationships.

Graphs are used to show the relationship between two or more variables and can be represented in a variety of formats, including line graphs, bar graphs, scatter plots, and more.

To find the slope of a line, we need to determine how much the y-value changes for every 1-unit increase in the x-value. Looking at the graph, we can see that the line passes through the points (1, 2) and (2, 4).

To find the slope, we can use the slope formula:

slope = (change in y) / (change in x)

If we let (x1, y1) = (1, 2) and (x2, y2) = (2, 4), then the slope is:

slope = (y2 - y1) / (x2 - x1)

slope = (4 - 2) / (2 - 1)

slope = 2

Therefore, the slope of the line on the graph is 2.

For more details regarding graph, visit:

https://brainly.com/question/17267403

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Noah is designing a set for a school theater production. He has 150 cardboard bricks. He needs to use some bricks to make a chimney and 4 times as many bricks to make an arch. He also saves 15 bricks in case some get crushed. How many cardboard bricks can he use to make the arch?

Answers

750 ok text me if I gave you wrong answer

Answer:

The answer is c=108

Which transformation can be used to accomplish this?
A-translation
B-reflection
C-rotation
D-dilation

Answers

Answer:

reflection

Step-by-step explanation:

its flipping over the y axis therefore a reflection

sorry if this is wrong :)

The diagram shows the distances of kitchen appliances in feet. What is the range of distances, d, from the range to the refrigerator? ​

Answers

The correct answer is :

[tex]2 < d < 10[/tex]

Just it....

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Which table shows y as a function of x

Answers

Where’s the table? If you have to make one, here’s one:

X: 1 3 7 12
Y: 4 4 4 4

Why? Because X doesn’t have the same number repeating.

list the following numbers from least to greatest:
-64, 3.5, sqrt27, 6,666...

Answers

Answer:

-64, 3.5, 27, 6,666

Step-by-step explanation:

give brainliest i need it to level up

HURRY PLEASE ANSWER)))
An internet service provider is implementing a new program based on the number of connected devices in each household. Currently, customers are charged a flat rate of $175 per month. The new plan would charge a flat rate of $94 plus an additional $4.50 per device connected to the network. Find the number of devices, x, for which the cost of the new plan is less than the cost of the current plan.

Answers

Answer:

x<18

Step-by-step explanation:

4 A Math (CO) / Module 2
4. Jaclyn has a piano lesson every 7th day. She has a flute lesson every 14th day. What are the first 2 days she will have both lessons on the same day?
O 14th day, 30th day
O 14th day and 28th day
O 28th day, 42nd day
O 7th day, 14th day

Answers

Answer:

14th day and 28th day

Step-by-step explanation:

7×2=14 14×1=14 14×2=28 7×4=28

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