Find the value of x.

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

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

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.

Learn more about quadrilaterals here

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Answer:

Option A would be the correct answer

I don't have an explanation to type but you can trust me :)

Answer:

What are the 4 questions, because the file does not work?

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Sum means addition so:

-9 + 18/2

(18/2 = 9)

-9 + 9

0

Answer: 0

Step-by-step explanation: The answer I got was 0. I'm assuming that 18/2 is 18 divided by 2. 18 divided by 2 is 9 and if you add a positive and a negative its like subtracting. 9-9=0 so the answer is 0.

Answer: It's in the screenshot

Step-by-step explanation:

Using the t-distribution, as we have the standard deviation for the sample, it is found that the 95% confidence interval for the mean amount of liquid per bottle (in mL) in this production run is (500.39, 509.61).

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 9 - 1 = 8 df, is t = 2.306.

The other parameters are given as follows:

[tex]\overline{x} = 505, s = 6, n = 9[/tex]

Hence:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 505 - 2.306\frac{6}{\sqrt{9}} = 500.39[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 505 + 2.306\frac{6}{\sqrt{9}} = 509.61[/tex]

The 95% confidence interval for the mean amount of liquid per bottle (in mL) in this production run is (500.39, 509.61).

More can be learned about the t-distribution at https://brainly.com/question/16162795

Answer:

hey i think it is -2,-6

Step-by-step explanation:

Answer:

I think that's the answer

Ratios are used to re;ate quantities of different measurements

The ratio of Sam's shells to thandeka's shells is 2:3

The quantity is given as:

Sam = 8 shells

Thandeka = 12 shells

To represent the given parameters as ratio, we have:

Ratio = Sam : Thandeka

So, we have:

Ratio = 8 : 12

Divide by 4

Ratio = 2 : 3

Hence, the ratio of Sam's shells to thandeka's shells is 2:3

Read more about ratios at:

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The answer when simplified gives the expression as 11.

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here the expression as -2+1²×2+5×12/3 -9=0+4×5-11

                                                                                = 11

Hence, The answer when simplified gives the expression as 11.

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Answer:

23 pretzels

Step-by-step explanation:

The range value is obtained by taken the difference between the maximum and minimum values ;

The range = maximum - minimum

From the box and whisker plot attached ; the maximum value = 68

Minimum value = 45

Hence, the range in the number of pretzels :

68 - 45 = 23

Answer:

22

Step-by-step explanation:

Subtract the minimum (44) and the maximum (66) the answer to this question is 22

Answer:

A'(1,-2)

L'(-3,-5)

T'(3,-1)

Reflection:

A'(-1,-2)

L'(3,-5)

T'(-3,-1)

Step-by-step explanation:

Answer:

56 gallons of gas

Step-by-step explanation:

Jon paid $8.75 for 5 gallons.

So how much does 1 gallon cost?

=> 5 gallons = $8.75

=> 5/5 gallons = $8.75/5

=> 1 gallon = $1.75

So how much does 32 gallons cost?

=> 32 gallons = 32 * 1.75 = $56

Answer:

8π units

Step-by-step explanation:

The circumference of a circle is calculated by using the following formula

2 × r × π (r: radius)

2 × 4 × π  = 8π

Answer:

A

Step-by-step explanation:

just took the test

Answer: x < 5

Step-by-step explanation: 4x + 40 < 60

Answer:

which question that you want

Answer:

The diagonal length is 50.

Step-by-step explanation:

Square the lengths of the legs:  (30 yd)^2 + (40 yd)^2 and add these squares together.  Taking the square root of this sum produces the length of the diagonal:  d = √(900 + 1600) = √2500 = 50.  

The diagonal length is 50.

Answer:

b

Step-by-step explanation:

C=2πr=2·π·22 =138.16cm

Answer:

1.101, 1.001, and 0.113

Step-by-step explanation:

the first on is the highest

plz leave a like and brainlest!! i need 10 to ask a quistion!!!

Answer:

               Tenths place is a zero

               ↓

0.113       1.001        1.101

↑

One's place is a zero

Answer:

1,2

Step-by-step explanation:

Answer:

The slope of the line is (2)

Step-by-step explanation:

Good luck ^_^

Answer:

0.38

Step-by-step explanation:

We will use ratios:

[tex]\frac{9.25}{3.5} =\frac{1}{x} \\\\9.25x=3.5\\x=0.38[/tex]

Answer:

#4

Exterior angles of a polygon sum to 360

#5

Sum of interior angles of a pentagon is:

Sum of interior angles of a given pentagon:

Answer:

$0.96

Step-by-step explanation:

20% of 0.80 is 0.16

0.80 + 0.16 = 0.96

Answer:

$0.96

Step-by-step explanation:

Multiply 0.80 times 0.2

0.80 x 0.2=0.16

Then add up 0.16 and 0.80 to get your answer

0.80 + 0.16=0.96

Hope it helps

Step-by-step explanation:

Let use the first of the medians. Medians AX.

Median AX is the midpoint of BC so our median is

[tex] \frac{1}{2} (b + c) - a[/tex]

Let use the second median.

Median BY is the midpoint of AC so our median is

[tex] \frac{1}{2} (a + c) - b[/tex]

Let use the final median.

Median CZ is the midpoint of AB so our median is

[tex] \frac{1}{2} (a + b) - c[/tex]

Now add all them up

[tex] \frac{1}{2} (b + c ) - a + \frac{1}{2} (a + c) - b + \frac{1}{2} (a + b) - c[/tex]

[tex] \frac{1}{2} b + \frac{1}{2} c - a + \frac{1}{2} a + \frac{1}{2} c - b + \frac{1}{2}a + \frac{1}{2} b - c[/tex]

Add like terms.

[tex] \frac{1}{2} b + \frac{1}{2} b - b = 0[/tex]

[tex] \frac{1}{2} a + \frac{1}{2} a - a = 0[/tex]

[tex] \frac{1}{2} c + \frac{1}{2} c - c = 0[/tex]

[tex]0 + 0 + 0 = 0[/tex]

So

AX+BY+CZ=0

Answer:

541/2 square in I hope this helps

Step-by-step explanation:

i hope this helps if it does can i get brainlists

Answer:

Rectangular prism

I chose a box of cereal.

Part 1)List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).

Length: 20 cm

Width: 8 cm

Height: 32 cm

Part 2).

 Describe the shape of the cross-section when the box is cut parallel to the base.

The shape of the cross-section would be a rectangle in dimensions.

20 cm x 8 cm

Part 3)

What is the surface area of the box? 

surface area=2*area of the base + perimeter of the base*height

area of the base=20*8=160 cm²

perimeter of the base=2*[20+8]-----> 56 cm

height=32 cm

surface area=2*160+56*32------> 2,112 cm²

the answer part 3) is

2,112 cm²

Part 4)

What is the surface area of the box if it is scaled up by a factor of 10?

we know that

surface area of the larger box =[scale factor]²*surface area original box

scale factor=10

surface area original box=2,112 cm²

so

surface area of the larger box=10²*2,112-----> 211,200 cm²

the answer part 4) is

211,200 cm²

Part 5) 

What is the volume of the box?

volume of the box = L*W*H 20*8*32-5,120 cm³

the answer Part 5) is

5,120 cm³

Part 6) 

What is the volume of the box if it is scaled down by a factor of 1/10?

we know that

the volume of the smaller box =[scale factor]³volume original box

scale factor=1/10

volume original box=5,120 cm³

so

volume of the smaller box =[1/10]³*5,120 5.12 cm³

the answer part 6) is

5.12 cm³

The length is 6 in., the width is 2 in., and the height is 16 in.

Answer:

Hi! The answer to your question is A. 89

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

11

124√= 11.135

I rounded it to the nearest number, 11

plz mark me as brainliest.