Mathematics Middle School

In the diagram, AB, BC, CD, DE, EF, FG, GH, and HK all have lengths 4, and all angles are right angles, with the exception of the angles at D and F.



Determine the length of DF.

In The Diagram, AB, BC, CD, DE, EF, FG, GH, And HK All Have Lengths 4, And All Angles Are Right Angles,
In The Diagram, AB, BC, CD, DE, EF, FG, GH, And HK All Have Lengths 4, And All Angles Are Right Angles,

Answers

Answer 1

Answer:

5.66 length (3s.f.)

Step-by-step explanation:

[tex] \sqrt{4 {}^{2} + 4 {}^{2} } [/tex]

= 5.65685

= 5.66 (3 s.f.)

Answer 2

By using the Pythagorean theorem, we will see that the length of DF is 5.7 units.

How to get the length of DF?

We can make a right triangle with the sides: DE, FE, and DF.

Such that we know that:

DE = FE = 4

These two are the cathetus of the right triangle.

Then DF is the hypotenuse.

Now, remember the Pythagorean theorem, it says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, then we have:

(DE)^2 + (FE)^2 = (DF)^2

4^2 + 4^2 =(DF)^2

√32 = DF = 5.7

The length of DF is 5.7 units.

If you want to learn more about right triangles, you can read:

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Related Questions

Multiple Samples
2 of 22 of 2 Questions




Question
Each dot on the dot plot shows the number of people in a 10-person random sample who said they will vote for a certain candidate in a local election.

A dot plot with 10 dots: 1 dot above 4; 1 dot above 5; 1 dot above 6; 2 dots above 7; 3 dots above 8; and 2 dots above 9.


How many samples does the dot plot represent?

Enter your answer as a number, like this: 42

Answers

42 hope this help you

Answer: 10

Step-by-step explanation: Add all the dots

I can't do percent's.

Answers

66+55=121
121/220*100=55%

66+22=88
88/220*100=40%

66/220*100=30%

No 4. Is C

Answer:

121/220 = 55%

88/220 = 40%

66/220 = 30%

The answer would be b

:)

Have an amazing day!!

Please rate and mark brainliest!!!

A researcher weighed pumpkins grown across a certain region. The data are rounded to the nearest pound and displayed in this histogram.

What does the second bin represent?

Select from the drop-down menu to correctly complete the statement.

Sixteen pumpkins weigh
A. more than 2.4 pounds but less than 4.8 pounds
B. more than 2.4 pounds but no more than 4.8 pounds
C. at least 2.4 pounds but no more than 4.8 pounds
D. at least 2.4 pounds but less than 4.8 pounds

Answers

The correct option regarding the representation of the second bin on the histogram is given by:

D. at least 2.4 pounds but less than 4.8 pounds.

What is an histogram?

An histogram is a graph that shows the number of times each element of x was observed.The intervals are closed on the left and open on the right.

According to the second bullet point, the second bin represents measures of at least 2.4 pounds but less than 4.8 pounds, hence option D is correct.

More can be learned about histograms at https://brainly.com/question/25836450

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Answer:

the answer is D

Step-by-step explanation:

Rachel has given $1000 to put into a savings account. She earns 2% simple interest every month. Rachel hopes to buy a car in 8 months. Help Rachel determine whether she will have enough money if the car will cost $1500. How much money will she be short or long?

Answers

Answer:

She is short on money

Step-by-step explanation:

1000 x 2% = 20

20 x 8 = 160

1000 + 160 = 1160

She is $340 short

50 PT REWARD IF U ANSWER RIGHT. NO SPAM!!!!!1

Answers

Answer:

height of the tree : 17.63 m

create a proportional equation:

[tex]\hookrightarrow \sf \dfrac{1.85}{39.55-35.4} =\dfrac{h}{39.55}[/tex]

[tex]\hookrightarrow \sf \dfrac{1.85}{4.15} =\dfrac{h}{39.55}[/tex]

[tex]\hookrightarrow \sf (39.55)1.85} =(4.15)h}[/tex]

[tex]\hookrightarrow \sf 4.15h= 73.1675[/tex]

[tex]\hookrightarrow \sf h= \dfrac{73.1675}{4.15}[/tex]

[tex]\hookrightarrow \sf h=17.63072...[/tex]

[tex]\rightarrow \sf h=17.63[/tex]

Answer:height of the tree : 17.63 m

Step-by-step explanation:

PLS help I've been stuck on this for HOURS, I WILL CHOOSE BRAINLIEST

Answers

The answer in the image below should be correct
Set the system of equations
We have if x=-5 , y= 10
X=-3,y = 0
We have : y= ax+b
Substitute the value like the picture
And solve for the equations
=> a= -5, b= -15
=> y= -5x-15

find the quotient of 156.38 and 100.

Answers

the quotient is 1.5638

Answer:

move the decimal two times to the left and you get 1.5638

What is the value of x in the following equation?

Answers

Answer:

B. 15/8

Step-by-step explanation:

[tex]\frac{1}{3} x+7=3x+2[/tex]

[tex]3x-\frac{1}{3}x= 7-2[/tex]

[tex]\frac{8}{3} x=5[/tex]

[tex]x=\frac{5}{\frac{8}{3} }=\frac{(5)(3)}{8}[/tex]

[tex]x=\frac{15}{8}[/tex]

Hope this helps

Can someone please help:)

Answers

Answer:

False

Quadrant || contains ordered pairs of the form (Positive number, Negative number

The point (-6,0) is located on the y-axis  

The origin is located in Quadrant |.

True

The ordered pair (2,-5.2) is located in Quadrants IV.

To Plot points in Quadrant |||, move left and down from the origin.

Step-by-step explanation:

The ordered pair (2,-5.2) is located in Quadrants IV. True

True, because Quadrants IV contains order pairs of the form  of (+,-)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Quadrant || contains ordered pairs of the form (Positive number, Negative number False

False, because Quadrant || contains order pairs of the form (-,+)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The point (-6,0) is located on the y-axis  False

False, the abscissa or x-coordinate is −6 and the ordinate or y-coordinate is 0. We know, any point on the x-axis has the form (a,0) and any point on the y-axis has the form (0,a), where a is any number.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The origin is located in Quadrant |. False

Origin always in the middle.

We know, the origin is the point of intersection of the x-axis and the y-axis. That is, when x=0 and y=0, we get the origin.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

To Plot points in Quadrant |||, move left and down from the origin.  True

Starting at the origin then move left would give us to Quadrant || and then down would give us Quadrant |||.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Kavinsky

Answer:

True: The ordered pair (2,-5.2) is located in Quadrants IV.

To Plot points in Quadrant |||, move left and down from the origin.

False:

Quadrant || contains ordered pairs of the form (Positive number, Negative number The point (-6,0) is located on the y-axis The origin is located in Quadrant |.

Step-by-step explanation:

A basket contains the following pieces of fruit: 3 apples, 4 oranges, 4 bananas, 2 pears, and 3 peaches. Jonas picks a fruit at random and does not replace it. Then Beth picks a fruit at random. What is the probability that Jonas gets an orange and Beth gets a peach?

Answers

Answer:

Probability that Jonas gets an orange is 1/4 and Beth gets a peach is 3/16.

Step-by-step explanation:

Here,

The total number of fruits n(S) = 3 + 4 + 4 + 2 + 3

= 16

The total number of oranges n(O) = 4

The total number of peas n(P) = 3

Now,

P(O) = n(O)/n(S)

= 4/16

= 1/4

Again,

P(P)= n(P)/n(S)

= 3/16

Answer the following about estimating 321/6.

Answers

Answer:

A) 300/6. B) Underestimate.

Step-by-step explanation:

321/6 is 53.5

300/6 is 50

and 360/6 is 60.

50 is closer to 53.5 than 60 is so the closest aproximation would be 300/6

53.5 is the correct answer without being simplified, 53.5 is closer to 50 than it is to 60.

50 points for this question

Answers

Answer:

50°

Step-by-step explanation:

50°+2x=150(vertically opposite angles)

x=50

Answer:

x = 50

Step-by-step explanation:

The angles (50 + 2x) and 150 are equal, as they are vertically opposing angles.

50 + 2x = 1502x = 100x = 50

In ABC, m In XYZ, m
Include in Your Answer:
What is m What is m Is it possible for these two triangles to be similar? Why or why not?

Answers

Answer:

Angle C= 79 degrees Angle X = 62 degrees

Step-by-step explanation:

Angle A= 62 degrees Angle B=39 degrees Angle C= ?

Angle X=?                    Angle Y= 39 degrees Angle Z= 79 degrees

Because both triangles share a similar angle (B and Y), meaning they are the same amount of degrees, triangle ABc and triangle XYZ could be similar, and if they are similar Angle X would equal the same as A and Angle C would equal the same as Z, Do you understand? if not message me and i could further explain!

Answer:

yes they are similar

Step-by-step explanation:

Angle C= 79 degrees Angle X = 62 degrees

Decide when to hire another dog walker based on the equation and median time. The equation is y=2.5x . The median time is 30.5 minutes. There are currently 2 dog walkers and each can do 7 hours. Give a reason why to hire another dog walker.
(Median time got by adding 40+50+30+40+15+25+15+20+30+40 = 305 then divding 305 and 10 to equal 30.5)

Answers

Answer:

to get more of ur dogs walked

The mean will be equal to 30.5 for the dog walker.

What is mean?

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

The given data is:-

40+50+30+40+15+25+15+20+30+40

Now the mean will be calculated as:-

Mean = (40+50+30+40+15+25+15+20+30+40) / 10

Mean = 305 / 10

Mean = 30.5

Therefore the mean will be equal to 30.5 for the dog walker.

To know more about mean follow

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Classify Each triangle by its angle and sides.

Answers

Answer:

8. Scalene 9. Isosceles

Step-by-step explanation:

Answer:

8) Acute Scalene

9) Right Isosceles

Step-by-step explanation:

Triangles can be classified in 3 ways based on their angles: acute, obtuse, and right. There are 3 ways to classify based on sides: scalene, isosceles, and equilateral.

Definitions

Acute - a triangle with 3 acute angles (angles under 90 degrees)

Obtuse - a triangle with 1 obtuse angle (angle greater than 90 degrees)

Right - a triangle with 1 right angle (90-degree angle)

Scalene - a triangle with sides of all different lengths

Isosceles - a triangle with 2 equal sides and angles

Equilateral - a triangle with 3 equal sides

Question 8

From the 2 angles we are given, we can tell that all of the angles are different. This must mean that the sides are also different. Since the sides are different, this must be a scalene triangle. Additionally, the missing angle is 100 degrees; thus, it must be an obtuse triangle.

Question 9

The marks on the 2 sides mean that these lines are equal. Therefore, it must be an isosceles triangle. One of the angles is marked with a box. This means that the angle is 90 degrees.  So, it is a right triangle.

#1 Please answer, i'm timed (EDGE 2022)

Answers

The answer is B) [tex]2(\frac{2}{5}x+2) =\frac{4}{5}x+4[/tex]

If it is incorrect it should be D) [tex]2(\frac{2}{5}x+4)=2\frac{2}{5} x+8[/tex]

The answer might be b

Please help will give brainiest!!! 4. The pathway of a quarter being thrown off a bridge can be modeled by the equation h = -16t2 + 72t + 120. At what time does the quarter reach a height of 50 feet?​

Answers

Based on your information of your question
Substitute h=50 then solve for the t
H would be equal too 50

Beinggreat78, Answer fast!

Answers

Answer:

[tex]I~am~here!!![/tex]

C. ⇒ 2 : 4. This is because 2 may be a multiple of 1, however, 3 is not a direct multiple of 4.

C. Because is 1:3 started with a 2 it would have to be 2:6 and 1:3 can not convert into 2:4

Find the value of y

(angles)

Answers

Answer:

40

Step-by-step explanation:

y+80 = 3y

80 = 2y

y = 40

40 because
3y-y(1y)=
2y
Then
80=2y
Divide by 2
40=y

I NEED HELPPPPPPPPPPPPPPPPPPPPPP PLSSSSSSSSS LOOK AT PICTUREEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

10

Step-by-step explanation:

w is the variable, you're trying to find what that variable could be. There are 5 boxes so you are trying to find "What minus 2, times 5, is equal to 40." OR (w-2)5=40. 8 times 5 is 40, but to compensate for the -2, add two to the 8 to get 10! hope this helps :)

Answer:

4

Step-by-step explanation:

There are 5 boxes.  Something times 5 is 40.  But,  w-2 has to equal 40.  Since 4 times 5 is 40, w is equal to 4.  4-2=2.  Replace w-2 with 4.  There are still 5 boxes.  So, multiply 4 x 5 and you get 40.  

Kobe collected data on the weight, in pounds, of 5 different dogs at an animal shelter. The mean of his data was 38, the median was 37, and the mode was 35. Give an example of a data set with these measures of center. Show that your data set meets the requirements

Answers

We have to find out a data set of 5 elements that mean of the data is 38,the median is 37 and the mode is 35.

Need help asap! Max points

Answers

A=(12,0)B=(18,6)C=(6,12)

Multiply each coordinate with scale factor

A'=(12/6,0/6)=(2,0)B'=(18/6,6/6)=(3,1)C'=(6/6,12/6)=(1,2)

Option D

Select all of the equations that are equivalent to `3x+45=180`.
A. 3 (x + 45) = 180
B. 3 (x + 15) = 180
C. 3 (x + 15) = 60
D. x + 15 = 60
E. 3x = 135

Answers

Answer:

Option B and Option D

Step-by-step explanation:

B = 3*x = 3x, 3*15 = 45.

D=3* x + 15.

3x = 135 and x + 15 = 60 are the equations that are equivalent to 3x+45=180

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

We have to solve the equation  3x+45=180

Now isolate x on one side of the equation.

We can do this by subtracting 45 from both sides, giving us 3x=135, and then dividing both sides by 3 to get x=45.

Therefore, the equivalent equations are:

3x = 135

x + 15 = 60

Hence, 3x = 135 and x + 15 = 60 are the equations that are equivalent to 3x+45=180

To learn more on Equation:

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Find the surface area

Answers

Answer:

pt for the triangles then 2(5x7) and 1(7x6) add it all together

Step-by-step explanation:

The answer is 136 look at the photo for a picture explanation :)

Please help me!!!!!! Thank you!!!! Also ignore the 330, its wrong i already tried i forgot to delete it :')

Answers

The surface area is 372
.................
STEP1: Find the square of the two bottoms. notice that 1 bottom is made from 6 triangle
Square of each triangle is (1/2)x3.5x4=7
Square of each bottom: 7x6=42
Square of the two bottom: 42x2=84

STEP2: Find the square of the rectangles
Each rectangle: 4x12=48
The six recrangles: 6x48= 288

STEP 3: the total square surface is 288+84= 372

Answer:

372

Step-by-step explanation:

[HELP!!!]


Ivy solved a division problem by subtracting and keeping track as shown. Identify the problem she solved.

Answers

Answer:

314 / 13 = 24.1538461538

Hope This Helps! :)

All the extra numbers do not have to be included it was just the way my brain works.

Please help!!!!!!!!!! im struggling

Answers

Answer:

2

Step-by-step explanation:

If you look at how many lines are lines up at the ten that is the answer

Answer:

2

Step-by-step explanation:

Brainliest! and LOTS of points, help PLEASE


Complete the missing number problem.



N = 32 ÷ (5 - 1)

N = 32 ÷ _

N = _


Fill in the blanks!

Thank you to the people that answer!!

Answers

First step N = 32 : 4
Second step N = 8

I need help, please if you dont know it that's ok

Answers

Answer:

39.25 sq in

Step-by-step explanation:

:( NEED HELP ASAP, WILL CHOOSE BRAINLIEST

Answers

Answer:

y=1x or just y=x might be a good line of best fit for this data

Answer:

y=x

Step-by-step explanation:

i just did it on paper sorry if you need to show work but i also double checked on a calculator soo yeah good luck also i just posted a question could you pleaseeee help me on it! or really anyone!

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