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.

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.

Answer:

512

Step-by-step explanation:

8³ is the same as saying 8×8×8

8×8×8= 512

Hope that helps!

Answer:

yes

Step-by-step explanation:

i go to azva online school and did the test

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

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.

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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!!

Answer:

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

Step-by-step explanation:

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!

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?

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.

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 :

Total length = Sum of the 4 pieces

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

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

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.

Answer:

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

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!

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

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.

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

Answer:

31.5

Step-by-step explanation:

4.5*2*3.5

W*L*H

width*length*heighth always remember that.

Answer:

It increased by 33.696

Step-by-step explanation:

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

Answer: 10

Step-by-step explanation: Add all the dots

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°.

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.

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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

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.

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.

Answer:

N=$6.75÷(2+3+4)

N=$6.75÷9

N=$0.75

Step-by-step explanation:

Hope this helps!!!