Question 4 (1 point)
The image shows quadrilateral ABCD.
Find the area of ABCD. Explain or show your reasoning.

Question 4 (1 Point)The Image Shows Quadrilateral ABCD.Find The Area Of ABCD. Explain Or Show Your Reasoning.

Answers

Answer 1

Answer:

25

Step-by-step explanation:

Using the Pythagorean Theorem, we can find the side length of each side.

a^2 + b^2 = c^2

=> 3^2 + 4^2 = x^2

=> 9 + 16 = x^2

=> x = 5

By applying the same formula for each side, we will get that each side is 5 units.

So, the area = 5*5 = 25

Answer 2

The quadrilateral is a square and the area of square is 25 square units.

What is a quadrilateral?

A quadrilateral is 2-dimensional geometric closed shape and a type of polygon that has four sides, four vertices and four angles. It is formed by joining four non-collinear points.

For the given situation,

The quadrilateral ABCD has points A(0,4), B(3,0), C(7,3), D(4,7).

The distance these points can be found by

[tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]

AB = [tex]d=\sqrt{(3-0)^{2}+(0-4)^{2} }[/tex]

⇒ [tex]AB = \sqrt{3^{2}+4^{2} }[/tex]

⇒ [tex]AB=\sqrt{9+16}[/tex]

⇒ [tex]AB=\sqrt{25}[/tex]

⇒ [tex]AB=5[/tex]

BC = [tex]d=\sqrt{(7-3)^{2}+(3-0)^{2} }[/tex]

⇒ [tex]BC=\sqrt{4^{2}+3^{2} }[/tex]

⇒ [tex]BC=5[/tex]

CD = [tex]d=\sqrt{(4-7)^{2}+(7-3)^{2} }[/tex]

⇒ [tex]CD=\sqrt{(-3)^{2} +4^{2} }[/tex]

⇒ [tex]CD=5[/tex]

DA = [tex]d=\sqrt{(4-0)^{2}+(7-4)^{2} }[/tex]

⇒ [tex]DA=\sqrt{4^{2}+3^{2} }[/tex]

⇒ [tex]DA=5[/tex]

Since AB = BC = CD = DA, the quadrilateral is a square.

The formula of area of quadrilateral is

[tex]A=(side)^{2}[/tex]

⇒ [tex]A=5^{2}[/tex]

⇒ [tex]A=25[/tex]

Hence  we can conclude that the quadrilateral is a square and the area of square is 25 square units.

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Related Questions

Please need help you know this

Answers

Answer:

Rule: Output = 2 * input + 1

Right blank: Output  = - 1

Left blank: Input = 4

Step-by-step explanation:

Rule

Start with the rule

Output = 2 * input + 1

Let the output = y

Let the input = x

y = 2x + 1

Now

Right Blank

x = - 1

y = 2*-1 + 1

y = -2 + 1

y = - 1

That's the output for -2

Left Blank

The second blank asks you to solve for the input (x) The output (y) is 9

9 = 2x + 1                 Subtract 1 from both sides

9-1 = 2x                    Combine

8 = 2x                       Divide by 2

8/2 = 2x/2

x = 4

finding area of circle with radius , giving brainliest :)) pls help asap

Answers

Answer:

number 2 is the answer or 4*pi inches² or 12.6

Step-by-step explanation:

John ran a race in 36 minutes. If each lap takes 9 minutes to run, write and solve an equation to find out how many laps John had to run.

SHOW YOUR WORK AND SOLVE PLEASE

Answers

Answer:

4 laps

Step-by-step explanation:

Solved using a proportion.

[tex]\frac{1}{9} = \frac{y}{36}[/tex]

9 × y = 1 × 36

9y = 36

9y ÷ 9 = 36 ÷ 9

y = 4

PLEASE HELP MEEEEE PLEASE!

Answers

Answer: my best guess would be c

Step-by-step explanation: I hope you figure this out maybe use Socratic app that might help

Answer:

(-2,2)

Step-by-step explanation:

the red line is y = x + 4 ( we know this as x = -4 is the x intercept)

the green one is y = -x (it intercepts in origin)

so, we equal the two equations to each other to get the interception point:

x + 4 = - x

4 = -2x

x = -2

we substitute x = -2 in any of the equations we get

y = -2 + 4 = 2  or y = -(-2) = 2

so the point is (-2,2) which is option C.

I need help fast please

Answers

Answer:

-2/3

Step-by-step explanation:

8^(x+2) =8^-2x

since the base are the same we deal with the exponent

x+2=-2x

x= -2/3

How do you work the problem 6y < 18 out

Answers

Answer:

y<3

Step-by-step explanation:

6y<18

y<18/6

y<3

I hope this helps

Answer: you can see what number times 6 gets you 18 so it would be y<3

Step-by-step explanation:

I NEED HELP!
The function f(x) is a quadratic function and the zeros of f(x) are - 2 and 5. The y-intercept of f(x) is 30. Write the equation of the quadratic polynomial in standard form.
f(x)=___________

Answers

Answer:

Step-by-step explanation:

First of all you have to put the zeros into factor form.

y1 = (x + 2)(x - 5)

Notice that the x changes sigh. You say that the zeros are -2 and  5. To get y1 to go to zero, you must make x the opposite sign of what you are given.

Now you have to expand the factored form to get the standard form

y = x^2 + 2x - 5x - 10

y = x^2 - 3x - 10

That's not the right answer.

f(0) = 30 but you have - 10 at the end so you have to multiply the factored form by - 3

-3(f(x)) = -3(x + 2)(x - 5)

-3(f(x)) = -3(x^2 - 3x - 10)

f(x) = -3x^2 + 9x + 30    

f(0) = -3(0)^2 + 9(0) + 30

f(0) = 30

The quadratic still has roots of (x +2)(x - 5) but that 3 makes the y intercept = 30.

See the graph below.

1. Mr. Jay has 24 students and 75% of them are boys. How many are boys?

Answers

Answer:

18

Heart if this helped

Bentley had $25 to spend on 5 paintbrushes for his art class. After buying them, Bentley had $5 left. How much did each of the paintbrushes cost?

Answers

Answer:

$4

Step-by-step explanation:

$25-$5=20

20 divided by 5 = 4

HELP ME IN NUMBER 1 AND 2

Answers

Answer:

Number is is A Number 2 is 77 trust ik math

The low temperature at 6:45 A.M. was −22°F. At 3:15 P.M. the temperature was 5°F. What was the range of temperature for the day? A −27°F B −17°F C 17°F D 27°F

Answers

Answer:

D

Step-by-step explanation:

-22°F+27°F=5°F

have a nice day or evening

Answer:

D

Step-by-step explanation:

I took the test

Freddy exercise 3.5 hours per day 4 days last week he burned 440 calories per hour while exercising how many calories did Freddie burn by exercising last week​

Answers

Answer:

6,160 calories

Step-by-step explanation:

total hours of exercising = 3.5 x 4 = 14

burns 440 calories per each hour

total calories burned is 440 x 14

how much markup is $75 to $180

Answers

Answer:

105

Step-by-step explanation:

75+105 =180

On a number line, show all values of x for which |x|>3

Answers

It’s something that’s for sure good luck!

A playground is rectangular with a length of 12 miles. If the area of the playground is 58 square miles, what is its width? Input your answer as a fraction.

Answers

Answer:

4 5/6 miles

Step-by-step explanation:

Area of a rectangle = length x width

58 = 12 x width

to find width, divide both sides of the equation by 12

58/12 = 4 whole number and 10 would remain

4 10/12

to simply, divide numerator and denominator by 2

4 5/6 miles

The median for the 5 numbers 2647, 1956, 2250, 2141, and x is 2141. What is the largest possible value for the number x?

Answers

Answer:

2140

Step-by-step explanation:

Median can be described as the number that lies in the middle of a set of arranged observations. the observations can be arranged in ascending or descending order

in a set of 5 numbers, the median would be the 3rd number

the median is 2141. there was to be 2 numbers before and after 2141

1956, x 2141, 2250, 2647

the largest possible value of x is 2140. this is the largest number that is less than 2140

PLEASE HELP I HAVE NO IDEA WHAT TO DO!!!

Answers

Answer: multiply and round I'm pretty sure tell me if u want me to multiply for u

Step-by-step explanation:

add 4x²y,-2xy²,-5xy²,3x²y plz explain​

Answers

4x^2 - 2xy^2
5xy^2 +
3x^2y
_____________
12x^5y^4-2xy^2

This is so because 4+5+3 is 12, then using laws of indices to add your x and y you get x^5 and y^4

To simplify your answer to the lowest you have it in the form of
3x^2y^2(4x^2y - 2xy^2)

If you multiply this as well you get the same answer I got with the addition

A number "X" greater than 8

Answers

Answer:

X > 8

Step-by-step explanation:

Using the keywords greater than helps you.

how do i solve this question

Answers

Answer:

18.18

Step-by-step explanation:

total sum of angle of quadrilateral is 360

70+60+ 7x-4+4x-3=360

160-7 +11x =360

153 +11x =360

11x=360-153

x=207/11

x=18.18

Can someone please help me

Answers

$9.50
You take each price of the games so, 1x2=2 2x2=4 2.25x2=4.5. Then add it up = 10.50. Since you already used ten you do 20-10.50 and get 9.50

Which statement about the graphs is true? NEED HELP!
Graph A is a valid density curve because the part of the graph from 2 to 6 is below the horizontal axis.
Graph A is not a valid density curve because the part of the graph from 1 to 2 is above the horizontal axis.
Graph B is not a valid density curve because part of the horizontal axis has negative values.
Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.

Answers

Answer:

Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.

Step-by-step explanation:

A density curve is a graph that shows probability.

There are a few properties that those curves have:

The curves are normalized, which means that the area inside the curve is always equal to 1  (or the 100% of possibilities).

And the probabilities are always defined with positive numbers between 0 and 1, which means that we can not have a density curve with elements below the horizontal axis.

From this, we can conclude that graph A is not a density curve (but neither of the two given options for graph A are correct, then we can discard these).

Now let's look at graph B.

We can see that all points are above the horizontal axis, so that is good.

Now let's compute the area inside the curve.

We can see two triangles, remember that the area of a triangle of base b and height h is:

A = (b*h)/2

To calculate the base in the image, just take the difference between the rightmost vertex and the left vertex.

The base of the left triangle is b = (-3 - (-5)) = 2, and the height is h = 0.25

Then the area is:

A1 = (2*0.25)/2 = 0.25

The base of the right triangle is b = (3 - (-3)) = 6, and the height is h = 0.25

Then the area of this triangle is:

A2 = (6*0.25)/2 = 0.75

If add these areas, we get:

Total area = A1 + A2 = 0.25 + 0.75 = 1

Total area = 1

So we have an area under the curve equal to 1, which means that graph B is a valid density curve.

And the correct option is then:

Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.

which number line shows the solution to the inequality -2x-3> -11

Answers

The solution to the inequality is x is less than 4.

What is inequility ?

An inequality is a mathematical statement that expresses a relationship between two values or expressions that are not necessarily equal. Inequalities are often used in mathematics to compare values, express constraints or limitations, and solve problems involving ranges of values.

To solve the inequality -2x - 3 > -11, we can start by isolating the variable x.

-2x - 3 > -11

Add 3 to both sides:

-2x > -8

Divide both sides by -2 (and flip the inequality because we're dividing by a negative number):

x < 4

So the solution to the inequality is x is less than 4.

To know more about inequility visit :

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HELP! I NEED THIS QUESTION ANSWERED ASAP!!!!!
HERE!

Angle X measures 53°
What type of angle is angle X?

Answers:

1 ) Obtuse

2) Right

3) Acute

Answers

Answer:

3 ) Acute

Step-by-step explanation:

Acute Angle - An angle less than 90 degrees.

Right Angle - An angle that is exactly 90 degrees.

Obtuse Angle - An angle more than 90 degrees and less than 180 degrees.

Straight Angle - An angle that is exactly 180 degrees.

Answer:

3)Acute

Step-by-step explanation:

any angle that is under a 90 degree angle or a right angle, is an acute angle. any angle that is above 90 degrees or a right angle is an obtuse andgle

Determine the opposite of 3p^7-8p

Answers

Step-by-step explanation:

Maybe you should flip flop

6 grade math pls help

Answers

answer

measure of o is 75

and n is same as o as the sides are same

hope this helps you

360 degrees to the left

HELP MEEEEEEEEEEEE 3.0

Answers

Answer:

I think that J would be the answer , It is more reliable than the left ones .

Hope it was helpful , good luck ^^

J would be the correct answer


If each square in the following floor plan represents 2.5 feet, what are the dimensions of the living room?

Answers

Twinkle twinkle little star how I wonder what you are

1.7. In a Maths class, the girl to boy ratio is 7:5.
If there are 20 boys, how many girls are in the class?

Answers

Answer:

28 girls

Step-by-step explanation:

Let total students be ‘X’

No of girls = (X-20)

Girls/Boys=7/5=(X-20)/20

7(20) =5(X-20)

140=5X-100

5X=240

X = 240/5

X =48

So, Total Students are 48

No of girls = (X-20) = 48-20 = 28

Plz help me with this one!

Answers

Step-by-step explanation:

[tex]y = x + 5 \: \: \: \: y = - 3x + 1 \\ y = x + 5 \: \: \: \: x + 5 = - 3x + 1 \\ y = x + 5 \: \: \: \: 4x = - 4 \\ y = x + 5 \: \: \: \: x = - 1 \\ y = 4 \: \: \: \: x = - 1[/tex]

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