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:

https://brainly.com/question/2217700


Related Questions

Please help, will give brainliest!

Answers

Answer:

The best name for the shape of his kite is a rectangular rhombus.

Step-by-step explanation:

122345678901234567890

( explain how u do it for brainliest )
do all 4 also

Answers

Answer:

Circle 1: 56.55

Circle 2: 53.41

Circle 3: 9.42

Circle 4: 15.71

Step-by-step explanation:

Formula for Circumference

C=2πR

Using Circle 1 as example:

Radius of 9

C=2π(9)

2*9= 18

18π

56.55

Answer:

1. 56.52

2.53.38

3. 9.42

4. 15.7

Step-by-step explanation:

These are the unrounded answers here are the rounded ones...

56.5

53.4

9.4

15.7

If this helped pls give brainliest.

How much are 3 1/2 pounds written as a combination of whole pounds and whole ounces?

Answers

Answer:

1 pound is 16 oz

so 1/2 pound is 8 oz

So 3 1/2 pounds as whole pounds and ounces would be:

3 pounds and 8 ounces

and/or

3 lbs. and 8 oz.

PLEASE I REALLY NEED THISS
Winter has just begun. After one week, the temperature decreased by 46.8° with a
percent change of 72%. What was the temperature at the beginning of the week and
what is the temperature now?

Answers

Answer:

It increased by 33.696

Step-by-step explanation:

I took the test, :D-|--=:


please help me with this! i’ll give you brainlist or whatever it’s called just help

Answers

Y= -2, -1, 0, 1 ,2
The function is linear

Answer:

-2, -1, 0, 1, 2

Step-by-step explanation:

-4/2=-2

-2/2=-1

0/2=0

2/2=1

4/2=2

What are the components of division and what do they mean (Like the divisor and stuff)
BRAINLIEST IF GOOD

Answers

Answer: The division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing.

The division is an operation inverse of multiplication. If 3 groups of 4 make 12 in multiplication; 12 divided into 3 equal groups give 4 in each group in division.

The main goal of the division is to see how many equal groups or how many in each group when sharing fairly.

For example:

There are 16 balls and 4 boxes, how to put 16 balls into four equal sized boxes?

Step-by-step explanation:  Therefore, 4 balls should be kept in each box.

Mathematical notation for division

There are various signs which can be used to indicate division such as ÷, /.

For example:

8 ÷ 2

8/2

Special names for each character in Division

Each part involved in a division equation has a special name.

Dividend ÷ divisor = quotient

Dividend: The dividend is the number that is being divided in the division process.

Divisor:The number by which dividend is being divided by is called divisor.

Quotient: A quotient is a result obtained in the division process.

 18    ÷   3    =    6

image5       image4       image6

Dividend        divisor         quotient

So, in the above process where we divided 16 balls into 4 equal groups;

The dividend is 16, the divisor is 4 and thus the quotient is 4.

Answer:

Step-by-step explanation:

There are three main parts to a division problem: the dividend, the divisor, and the quotient. The dividend is the number that will be divided. The divisor is the number of “people” that the number is being divided among. The quotient is the answer.

Identify which value will be used for a variable. Write an equation that represents the problem. Solve the problem. Question: An Axolotl was pushed 48 yards downstream. The Axolotl then swam, in the opposite direction, upstream at 6 yards between breaks. How many breaks were taken? please hep

Answers

Answer:

below pls make me brainliest and like.

Step-by-step explanation:

d= 2.2v+\frac{v^2}{20}. to calculate breaking distance then breaks.

HELP PLEASE! FIND THE SURFACE AREA OF PRISM (WITH THESE NUMBERS)

Answers

Answer:

31.5

Step-by-step explanation:

4.5*2*3.5

W*L*H

width*length*heighth always remember that.

Answer: 31.5 just gotta multiple base x height x length

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

2. HELP ASAP!!! GIVING BRAINLIEST!!!
Find each missing measure.

Answers

3. 49
4. 26

u just add up all the sides then subtract it from 180

Answer:

49 and 26

Step-by-step explanation:

every triangles angles equal 180 degrees 76 + 55 equals 131. 180 - 131 = 49. the 2nd question has a small square at the bottom part of the triangles and those always mean 90 degrees. 64 + 90 = 154. 180 - 154 = 26.

im not sure if this is correct but can someone please tell me if it is

Answers

Answer:

yes

Step-by-step explanation:

i go to azva online school and did the test

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

The Articles of Confederation were ________.

A. a set of rules for governing the nation
B. able to unite the colonies
C. responsible for bringing peace to the new colonies
D. written to give Congress full power to pass and enforce laws

Answers

Answer:

The Articles of Confederation were A. a set of rules for governing the nation.

I WILL CHOOSE BRAINLIEST

Answers

Answer:

C

Step-by-step explanation:

because angles a is diagonally opposite to 162, they are equal. And as b and 162 are alternate angles, they will also be equal

Answer:

C. <A & <B

Explanation:

If lines m and n are parallel, then you can use the proofs of vertical angles are congruent and alternate interior angles are congruent to prove that <A and <B are equal to 162 degrees; the reason that <C and <D are not congruent, is because they would be too small to fit 162 degrees, they would be the opposite of 162 which is 180-162=18 degrees.

please help and give step by step explanation thank you

Answers

Answer:

x = 40

Step-by-step explanation:

(3x + 5) + (x + 15) = 180

3x + 5 + x + 15 = 180

4x + 20 = 180

      -20    -20

4x = 160

÷4      ÷4

x = 40

I hope this helps!

BRAINLIEST! Help please, Thank you!!! :|



Read the word problem and complete equation.

Two school newspapers were sold one day at school. Three were sold the second day and four the third day. If $6.75 was collected, how much did each paper cost?

N = $6.75 ÷ ( 2 + 3 + _)
N = $6.75 ÷ _

N = $ _

Fill in the blanks!

Answers

1. N=4
2. N=9
3. $0.75
Please let me know if this is incorrect so I can fix it!

Answer:

N=$6.75÷(2+3+4)

N=$6.75÷9

N=$0.75

Step-by-step explanation:

Hope this helps!!!

last week you walked your dog 12.405 miles. this week you walked your dog 15 miles. how many fewer miles did you walk last week than this week?

Answers

fewer miles = difference between the two miles in the walks.
= (15 - 12.405)miles = 2.595

The dog walked 3 miles less in last week than this week.

What is approximation?

An approximation is anything that is similar, but not exactly equal, to something else. A number can be approximated by rounding.

Given that, last week you walked your dog 12.405 miles. this week, you walked your dog 15 miles.

The dog walked in last week approx = 12 miles

The dog walked this week = 15 miles

The  fewer miles did he walked = 15-12 = 3

Hence, the dog walked 3 miles less.

For more references on approximation, click;

https://brainly.com/question/29669607

#SPJ1

Can you answer the question in the screen shot? Thanks!

Another question about this one:
For every 3 circles there are _ : _ total shapes, therefore the simplified ratio of circles to total shapes is _ : _

Answers

For every 3 circles there are 8 in total
Answer: 3:8
screenshot: answer: 9:20

another question: answer: for every 3 circles, they are 3:8 total shapes

OMG big news to my family our rabbit had babies

Answers

Answer:

OMGGGG SO CUTEEE!!!

Step-by-step explanation:

Answer:The most wholesome thing I have ever seen in my life.

Step-by-step explanation:

Also 77 + 33 = 100!!

Janine has 10 pieces of ribbon. She recorded the length of each piece in the line plot below. What is the total length of the four longest pieces of ribbon?

Answers

Answer:

51.25

Step-by-step explanation:

The four longest pieces are the four X’s on the farthest right.

These X’s have values of 12.75, 12.75, 12.75, and 13.

12.75 + 12.75 + 12.75 + 13

25.5 + 12.75 + 13

38.25 + 13

51.25

Therefore, my answer is correct.

Answer:

51 1/4 centimeters

Step-by-step explanation:

According to the line plot, the 4 longest pieces of ribbon are :

13, 12 3/4, 12 3/4, and 12 3/4

Total length = Sum of the 4 pieces

13 + 12 3/4 + 12 3/4 + 12 3/425 3/4 + 25 2/451 1/4 centimeters

Draw the solution set for each of the following inequalities.​

Answers

I can’t see clearly can you please make it a little bit clear so that we can help

Point A is 6 units away from the origin. Select all possible coordinates of point A.

A. (6,6)
B. (6,1)
C. (6,0)
D. (1,6)
E. (0,6)

Answers

A,B,C,D,E i THINK so because if you are 6 units away then the cordinets have to have six in it im not sure tho if X axis than A,B,C
Answer : C and E not really sure if there is anything else

5(x+21)= 8x help me please

Answers

Answer:

35

Step-by-step explanation:

Steps

1.  5x + 105 = 8x because you distributed the 5

2. 105 = 3x because you subtract the 5x on both sides

3. 105/3 = x because you divide the 3 and 105/3 is 35

please help me with this

Answers

Answer:The difference between the medians is 2.5

Step-by-step explanation: So how I did this is first I found the median of the two plots (median=the middle number in a group of values) so anyway I lined it all out because I find it easier to do it that way (20,25,25,30,30,30,30) so the answers I got for both plots were -plot A=32.5 and plot B=30 than difference means subtract so 32.5-30=2.5

Thw difference between the medians is 2.5

help 27 points if you get this right

Answers

Answer:

x = 20

Step-by-step explanation:

x + 3x + 100 = 180

4x + 100 = 180

       -100    -100

_________________-

4x = 80

/4 .   /4

__________

x = 20

Hope this helps :)

(If you need it explained in words just let me know)

The equation using supplementary angles is x + 100° + 3x = 180°. Then the value of 'x' is 20°.

What is an angle?

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

The two angles are said to be supplementary angles if their sum is 180 degrees.

By the above property of angle, the equation is written as,

x + 100° + 3x = 180°

Simplify the equation, then we have

x + 100° + 3x = 180°

4x = 80°

x = 80° / 4

x = 20°

The equation using supplementary angles is x + 100° + 3x = 180°. Then the value of 'x' is 20°.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ7

I need the answer to this math problom

Answers

Answer: Isabel rides for 2.5 hours

Step-by-step explanation: 27.5 ÷ 11 = 2.5

Answer:

27.5/11= 2.5 hours.

Step-by-step explanation:

Distance= Time * Speed -----> Time= Distance/Speed

Whoever gets it right can have brainliest, but answer ASAP!

Answers

Answer:

512

Step-by-step explanation:

8³ is the same as saying 8×8×8

8×8×8= 512

Hope that helps!

is this correct if not help me please

Answers

No that is not correct

Answer:

weight in an elevator must be less than 2000 lbs goes with w < 2000

a ton is 2000 lbs goes with w = 2000

the pool must hold at least 2000 gallons goes with w ≥ 2000

the scale can hold up to and including 2000 lbs goes with w ≤ 2000

my car weighs more than 2000 lbs goes with w > 2000

Step-by-step explanation:

If the weight is less than 2000 lbs, then the inequality will have a lesser than sign. The choice that matches is w < 2000.

If a ton is exactly 2000 lbs, then it's equal to 2000. In other words, the inequality will have an equal sign. The choice that matches is w = 2000.

If a pool should be held with at least 2000 lbs, then it's weight is either greater than or equal to 2000 lbs. the choice that matches is w ≥ 2000.

If a scaled can hold up to, including 2000lbs, then the maximum weight it can hold is 2000 lbs. The weight is less than or equal to 2000. the choice that matches is w ≤ 2000.

If a car weighs more than 2000 pounds, then the weight will be greater than 2000. The choice that matches is w > 2000.

hope this helps!

What is the area of the trapezoid?



A trapezoid resting on a base. The top side is labeled 14 in. The bottom side is labeled 30 in. The left side is labeled 15 in. The right side is labeled 20 in. Where the left side and the bottom side meet there is a right angle box.

Answers

Answer:

29.5 inches squared

Step-by-step explanation:

The formula for the area of a trapezoid is [tex]\frac{base1 + base2 * height}{2}[/tex],

so base1 = 14 inches and base2 = 30 inches

since there is a right angle, you know that the height must equal the length of the left side, so the height = 15 inches

then, 14+30+15=59 and 59/2=29.5

therefore, your answer would be 29.5 inches squared

Beinggreat78, this is mostly for you. but whoever gets it right can have brainliest, but answer ASAP!

Answers

The answer will be 7:8

Answer:

[tex]beinggreat78~here![/tex]

First step to simplifying ratios is to find the ratio. The ratio would be 14:16. The next step is to find the least common factor and simplify by dividing. The least common factor is 2, so divide both numbers by 2.

[tex]\frac{14 / 2}{16 / 2} = \frac{7}{8}~or~7:8[/tex]

With that info, your answer is 7:8

What have we learned?

We learned how to simplify ratios.

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