Plzz help....Calculate the length of the corresponding sides for FGHIJ and ABCDE. You will need to use the distance formula
[tex]d = \sqrt{x2 - x1) {2}^{?} } + (y2 - y1) {2}^{?} [/tex]
for sides that are not purely horizontal of vertical. Show your work in the table. Afterward, confirm your calculations using GeoGebra.

Answers

Answer 1

The distance between the points have been calculated.

What is the Distance Formula?

The distance formula is used to calculate distance between two points on a coordinate system.

The formula is

[tex]\rm d = \sqrt { (x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The coordinates of ABCD is A(0,4), B(2,4), C(2,3), D(4,2), E(4,0)

The coordinates of FGHI is F(7,1), G(6,1), H(6,1.5), I(5,2), J(5,3)

AB² =  (2-0)²+(4-4)²      

AB =     2

FG² =  (6-7)²+(1-1)²

FG =1                  

BC² =  (2-2)²+(3-4)²=1          

BC = 1

GH² =  (6-6)²+(1.5-1)²=0.5        

GH = 0.5

DI² =  (5-4)²+(2-2)²

DI = 1

HI² =  (5-6)²+(2-1.5)² = 1.25

HI =  1.12

DE² =  (4-4)²+(0-2)²

DE =    2

IJ² =  (5-5)²+(3-2)²

IJ = 1

EA² =  (0-4)²+(4-0)²      

EA = 5.66

JK² =  (7-5)²+(1-3)²    

JK =    2.83

The missing data of the question is

The coordinates of ABCD is A(0,4), B(2,4), C(2,3), D(4,2), E(4,0)

The coordinates of FGHI is F(7,1), G(6,1), H(6,1.5), I(5,2), J(5,3)

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Related Questions

What is the domain of the square root function graphed below?

Answers

Answer:

The domain of the graph must be [tex]x\ge \:-4[/tex].

Therefore,

[tex]x\ge \:-4\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-4\:\\ \:\mathrm{Interval\:Notation:}&\:[-4,\:\infty \:)\end{bmatrix}[/tex]

Hence, option a is true.

Step-by-step explanation:

From the graph, it is clear that the graph is heading towards positive infinity from x=-4.

The point x=-4 is included in the graph as the starting point of the graph i.e. x=4 is showing a closed circle on x=4, and heading towards positive infinity onward.

i.e. [-4, ∞)

Hence, the domain of the graph must be [tex]x\ge \:-4[/tex].

Therefore,

[tex]x\ge \:-4\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-4\:\\ \:\mathrm{Interval\:Notation:}&\:[-4,\:\infty \:)\end{bmatrix}[/tex]

Hence, option a is true.

Find the range for the observations,5.6,7.1,8.3,3.7,6.8,4.1,8.4,2.7,4.4,8.2,2.8

Answers

Answer:

the range is 8-1=7

Step-by-step explanation:

A
rope
cut off?
is 3m long. If 25% is cut off, how many com was
25% of 3

Answers

Answer:

0.75meters

Step-by-step explanation:

25% of 3 is 0.75

Plz mark me brainliest

Pls help me figure out the slope

Answers

Answer:

[tex]m=\frac{-4}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-3, 1)

Point (2, -3)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-3-1}{2+3}[/tex]Subtract/Add:               [tex]m=\frac{-4}{5}[/tex]

What is the probability that a randomly selected customer likes hot or iced coffee?

A.

B.

C.

D

Answers

Answer:

0.83

Step-by-step explanation:

add the hot, cold, and both sections together

xoxo, your highness...

The probability of people liking hot or iced coffee is 0.61. Therefore, option C is the correct answer.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Given that, according to sales records at a local coffee shop, 75% of all customers like hot coffee, 30% like cold coffee and 22% like both hot and iced coffee.

People like only hot coffee = 0.53

People like only iced coffee = 0.08

Customers like hot or iced coffee =0.53+0.08

= 0.61

Therefore, option C is the correct answer.

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solve for x.

√x + 20 = 9

possible answers:

17
61
81
101

Answers

Answer: 61

Step-by-step explanation:

[tex]\sqrt{x+20}=9\\\\x+20=81\\\\x=\boxed{61}[/tex]

The value of x will be 61.

What is mathematical expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The mathematical expression is,

⇒ √x + 20 = 9

Now,

Solve the expression for the value of x as;

The mathematical expression is,

⇒ √x + 20 = 9

Take square on both side, we get;

⇒ (√x + 20 )² = 9²

⇒ x + 20 = 81

Subtract 20 both side, we get;

⇒ x + 20 - 20 = 81 - 20

⇒ x = 61

Therefore, The value of x will be 61.

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Karen earns $5 by delivering newspapers each week. She saves $3 and she spends the rest. How many weeks will it take her to save enough money to buy a $35 gift card?

Answers

Answer:

give me 1hour

Step-by-step explanation:

What is -3/4 + 2 3/4
3 1/2
3 3/4
2 1/2
2

Answers

Answer:

2

Step-by-step explanation:

Answer:

Fourth Option

Step-by-step explanation:

In order to find the answer to this question you need to change the mixed number into a improper fraction and then add by finding the least common denominator (LCD).

[tex]-\frac{3}{4} +2\frac{3}{4}[/tex]

Convert into improper fraction:

[tex]2\frac{3}{4} =4\times2=8+3=11[/tex]

[tex]-\frac{3}{4} +\frac{11}{4}[/tex]

Since how the denominators are the same you can just add numerators:

[tex]-3+11=8[/tex]

[tex]=\frac{8}{4}[/tex]

Reduce:

[tex]8\div4=2[/tex]

[tex]4\div4=1[/tex]

[tex]=\frac{2}{1}[/tex]

[tex]\frac{2}{1} =2[/tex]

Hope this helps.

HELP ME OUT HERE PLEASEEEEEEEEEEEEEEEEEEE

Answers

Answer:

5/8 quart

Step-by-step explanation:

Just take away 1/4 from 7/8

PLZ HELP ASAP!!
If the parallel lines m and n are 6 units apart, how many units of translation is equivalent to the composition of two reflections over lines m and n?

Answers

9514 1404 393

Answer:

  12 units

Step-by-step explanation:

Reflection over two lines x units apart is equivalent to a translation of 2x units. Since the given lines are 6 units apart, ...

  the equivalent translation is of 12 units.

___

Example:

Lines at x=0 and x=6. Point (x, 0). After reflection over x=0, the point is located at (2·0 -(x), 0) = (-x, 0). After reflection of that over x=6, the point is located at (2·6 -(-x), 0) = (12 +x, 0). That is, 12 has been added to the x-coordinate, meaning the point was translated 12 units. (The translation is in the direction the second line is from the first.)

10 points solve ASAP!!!! Solve for x:

-8x + 10 = 82

a
x = 9

b
x = -9

c
x = 92/8

d
x = -92/8

Answers

Answer:

The answer should be b: x=-9

Answer:

b. -9

Step-by-step explanation:

-8x+10=82

     -10   -10

-8x=72

divide both side by -8

x=-9

Which ordered pair is part of the solution set of the inequality 5-y5-3x? Oa (3,-5) Ob. (-3,-5) Oc. (2,-1) Od (-2,-1)​

Answers

Answer:

ob

Step-by-step explanation:

The graph of a function is shown: scatterplot of the following points: negative 3 and 2, negative 2 and negative 1, 2 and negative 1, and 3 and 3 Which of the following correctly identifies the set of outputs? (4 points)
A. {−3, −2, 3}
B. {−1, 2, 3}
C. {(−3, 2), (−2, 1), (3, 3), (3, −1)}
D. {(2, −3), (1, −2), (3, 3), (−1, 3)}

Answers

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

i did flvs

Work out (5 x 109)
109) x (9 x 10)
Give your answer in standard form.

Answers

Answer:

49050

Step-by-step explanation:

(5 x 109)x (9 x 10)

545×90

49050

So the answer is 49050

What is an
equation of the line that passes through the points (-3,-7) and (8,-7)?

Answers

Answer:  y = -7

graph attached.

Step-by-step explanation:

This is a horizontal line passing through -7 in the y-axis. It passes through all x-values

You buy butter for $3 a pound.
One portion of onion compote requires 1.7 oz of butter.
How much does the butter for one portion cost? Round to the nearest cent.

Answers

There are 16 ounces in one pound.

Set up a proportion and solve for x.

3/x = 16/1.7

16x = 3(1.7)

16x = 5.1

x = 5.1 ÷ 16

x = 0.31875

Rounding to the nearest cent, we get 30 cents.

If 7 toothpaste tubes cost 40.50 how much does one tube cost?

Answers

Answer:5.78

Step-by-step explanation: It is 5.78 bc do 40.50 divided by 7 and you will get your answer

Brainliest please???

Answer:

Each tube costs about $5.79.

Step-by-step explanation:

To find the cost of each tube, divide the total cost by the total number of toothpaste tubes.

40.50/7 = 5.785714286 which approximates to 5.79

Solve the equation. 3x + 2(4x − 6) = 8x + 1 What is the value for x? x =

Answers

Answer: x= 13/3

Step-by-step explanation: solve x

by simplifying both sides of the equation, then isolating the variable.

Answer:

[tex]x=\frac{13}{3}[/tex]

Step-by-step explanation:

The explanation on how to solve it is from the attached picture.

Hope this helps! :)

PLEASE HELP MEEE If there are 83 men and 17 women. What percentage of women are there

Answers

Answer: 17%

Step-by-step explanation: 83+17 = 100, 17/100 = 0.17 = 17%

a company makes two different-sized ice cream cones. The smaller cones are 3.5 inches tall and have a diameter of 3 inches. The larger cones are 5.1 inches tall and have a diameter of 4.5. inches. About how much greater, to the nearest tenth of a cubic inch, is the volume of the larger cone than the volume of the smaller cone?

Answers

9514 1404 393

Answer:

  18.8 cubic inches

Step-by-step explanation:

The formula for the volume of a cone is useful:

  V = 1/3πr²h

Where r is half the diameter, we can use r=d/2 to write this in terms of diameter:

  V = 1/3π(d/2)²h = (π/12)d²h

For the given dimensions, the volumes are ...

  large cone: v = (π/12)(4.5 in)²(5.1 in) ≈ 27.04 in³

  small cone: v = (π/12)(3 in)²(3.5 in) ≈ 8.25 in³

Then the difference in volume is ...

  (27.04 -8.25) in³ ≈ 18.8 in³

The larger cone has about 18.8 cubic inches more volume.

Anybody Know This. ? I Wanna Be Positive It’s C

Answers

Answer:.

Step-by-step explanation:

Answer:

The correct answer is A

Step-by-step explanation:

I think you are trying to find corresponding sides. In the answer that you think it is, it says BC = DF. Well, is you look triangle ABC you see that BC is at the bottom. However, this differs from triangle DEF because EF is the bottom line. So if you look at the answer A, you see that it has the correct corresponding sides. I hope that helps :))

What is the product?
2 x [-1/0]

Answers

Answer:

=38

Step-by-step explanation:

Answer:

It's C [-2 0]

Step-by-step explanation:

If you multiply the product [-1 0] both by 2 you get [-2 0]

A person 6ft tall stands 10ft from point P directly beneath a lantern hanging 30 ft above the ground. The lantern start to fall, thus causing the person shadow to lengthen(L). Given that the lantern falls 16t2 feet in t seconds, how fast will the shadow be lengthening when t=1

Answers

Answer:

[tex]\frac{dL}{dt}=30 \frac{ft}{s}[/tex]

Step-by-step explanation:

In order to solve this it is always a good idea to start by drawing a diagram of the situation (See attached picture).

From the diagram we can see that we are dealing with similar triangles. We can use similar triangles to build an equation that relates the length of the shadow with the height of the lamp, so we get:

[tex]\frac{L}{6}=\frac{10+L}{h}[/tex]

the height of the lamp can be found by subtracting the [tex]16t^{2}[/tex] distance the lamp falls in a given time t from the original 30ft the lamp was located at.

So the equation will now lok like this:

[tex]\frac{L}{6}=\frac{10+L}{30-16t^{2}}[/tex]

So now we can solve the equation for L, we can start by multiplying by the LCD SO WE GET:

[tex]L(30-16t^{2})=6(10+L)[/tex]

next, we can distribute the right side of the equation so we get:

[tex]L(30-16t^{2})=60+6L[/tex]

and subtract 6L from both sides so we get:

[tex]L(30-16t^{2})-6L=60[/tex]

and factor L, so we get:

[tex]L(30-16t^{2}-6)=60[/tex]

and solve for L:

[tex]L=\frac{60}{24-16t^{2}}[/tex]

now, we can differentiate this equation by using the chain rule, so we get:

[tex]dL=-\frac{60}{(24-16t^{2})^{2}}(-32t)dt[/tex]

which can be simplified to:

[tex]\frac{dL}{dt}=\frac{1920t}{(24-16t^{2})^{2}}[/tex]

and now we can substitute t for 1s so we get:

[tex]\frac{dL}{dt}=\frac{1920(1)}{(24-16(1)^{2})^{2}}[/tex]

[tex]\frac{dL}{dt}=30 \frac{ft}{s}[/tex]

PLEASE HELP!! solve |2x-2| ≥6.

Answers

Answer:

x ≤ -2    OR  x ≥ 4

__________________________________________________________

Step-by-step explanation:

We are given the inequality:

|2x - 2| ≥ 6

Getting rid of the Modulus:

Since 2x-2 is in modulus:

|2x-2| =  -(2x-2)    OR   2x-2

(since the modulus of both these values is 2x-2)

Hence, our inequality can be written in 2 different ways:

2x-2 ≥ 6                              (if 2x-2 ≥ 1)-(2x - 2) ≥ 6                         (if 2x-2 < 0)

__________________________________________________________

Solving these 2 inequalities:

Solving inequality 1:

2x - 2 ≥ 6                

2x ≥ 8                     [adding 2 on both sides]

x ≥ 4                       [dividing both the sides by 2]

This is the solution of the inequality if: 2x-2 ≥ 0

Solving Inequality 2:

-(2x-2) ≥ 6

It can be rewritten as:

2 - 2x ≥ 6                

2 ≥ 6 + 2x                [adding 2x on both the sides]  

-4 ≥ 2x                     [Subtracting 6 from both sides]

x ≤ -2                       [Dividing both sides by 2]

This is the solution of the given inequality if: 2x-2 < 0

__________________________________________________________

Solution of the given Inequality:

Therefore, the solution of the given inequality |2x-2| ≥ 6 are:

x ≥ 4   (if 2x-2 ≥ 0)

x ≤ -2  (if 2x-2 < 0)

Hence, option C is correct!

Solve for X...........

Answers

Answer:

x = 60°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Geometry

A box on an angle signifies a 90° angleAll angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Set up equation

x° + 90° + 30° = 180°

Step 2: Solve for x

Combine like terms:                    x + 120 = 180Subtract 120 on both sides:        x = 60°
I’m assuming the answer is X =60 but I could en wrong.

Pls help need to pass lesson

Answers

Answer:

Explanation below

Step-by-step explanation:

First Degree Equations

A first-degree equation can have one, none, or infinitely many solutions.

An equation like

2x + 3 = -x + 6

Has one solution: x=1

An equation like:

4x + 2 = 4x + 1

Has no solutions because when trying to solve for x we get:

2 = 1

This equality is false and no value of x can make it true

Finally, the equation:

3x + 2 = x + 2x + 2

Has infiniteyl many solutions, because when trying to solve it, we get:

2 = 2

Which is true regardless of the value of x

The first given equation:

3x + 9 + 4x + x = ??

can be simplified as:

8x + 9 = ??

For this equation not having solutions, we should have 8x plus any number but 9 on the right side of the equation:

8x + 9 = 8x -3, or

8x + 9 = 8x + 4

The second given equation:

3x + 9 + 4x + x = ??

can be simplified as:

8x + 9 = ??

If the equation has one solution, the only condition is that we should not have 8x on the right side. Thus any of those will do:

8x + 9 = 3x + 9

8x + 9 = -x + 5

8x + 9 = 0

The third equation:

3x + 9 + 4x + x = ??

can be simplified as:

8x + 9 = ??

For this equation to have infinitely many solutions, the right side must be exactly equal to the left side:

8x + 9 = 8x + 9

The height of XYZ is the distance from the point Y to XZ find the area of the triangle round your answer to the nearest 10th if necessary HELPPP PLEASE

Answers

Answer:

Area of ΔXYZ = 10 square units

Step-by-step explanation:

Area of the triangle XYZ = [tex]\frac{1}{2}(\text{Height})(\text{Base})[/tex]

Height of the triangle = AY

Base of the triangle = XZ

To get the length of any segment we will use the formula,

d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2)}[/tex]

Here [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the endpoints of the segment.

Length of AY = Distance between (-1, 4) and (3, 6)

                      = [tex]\sqrt{(6-4)^2+(3+1)^2}[/tex]

                      = [tex]\sqrt{20}[/tex]

Length of XZ = [tex]\sqrt{(6-2)^2+(-2-0)^2}[/tex]

                      = [tex]\sqrt{20}[/tex]

Area of ΔXYZ = [tex]\frac{1}{2}(\sqrt{20})(\sqrt{20})[/tex]

                       = 10 square units                      

What is the perimeter of the rectangle 60ft and 50ft

Answers

Answer:

200 ft

Step-by-step explanation:

Answer:

220

Step-by-step explanation:

60 times 2 equals 120

50 times 2 equals 100

120 plus 100 equals 220

PLEASEEEE HELP AND SHOW WORK WILL GIVE BRAINLIEST... LOVE Y'ALL!!! The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If the trip takes 5 hours at 950 km/h, how long would it take at 850 km/h?

Answers

Answer:

4 hour

Step-by-step explanation:

The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane i.e.

[tex]t\propto v^2[/tex]

Here, t₁ = 5 h, v₁ = 950 km/h, v₂ = 850 km/h, t₂=?

[tex]\dfrac{t_1}{t_2}=\dfrac{v_1^2}{v_2^2}\\\\t_2=\dfrac{t_1v_2^2}{v_1^2}\\\\t_2=\dfrac{5\times (850)^2}{(950)^2}\\\\t_2=4\ h[/tex]

If the speed is 850 km/h then the time is 4 h.

Answer each part. If necessary, round your answers to the nearest hundredth.

(a) Joe bought 13 pounds of rice for $7. How many pounds of rice did he get per dollar? pounds per dollar

(b) At Smith's Bike Rentals, it costs $29 to rent a bike for 6 hours. How many hours of bike use does a customer get per dollar? hours per dollar

Answers

Step-by-step explanation:

a) 13=$7

x=$1

(do cross multiplication)

13=7x

x=1.86 pounds

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