Show that if AB=DC in the figure below, then AB is parallel to CD.

Show That If AB=DC In The Figure Below, Then AB Is Parallel To CD.

Answers

Answer 1

AB is parallel to CD because the figure is a parallelogram and opposite sides of a parallelogram are parallel.

What are the properties of a parallelogram?

Note, the figure is a parallelogram

Some properties of a parallelogram are:

The opposite sides of a parallelogram are parallel and equal.The opposite angles are equal.The consecutive angles are supplementary, that is, the sum up to 180°The two diagonals divide each other.

if sides AB = DC, then AB is parallel to CD because they are opposite to each other and opposite sides of a parallelogram are parallel.

Hence, AB is parallel to CD because the figure is a parallelogram and opposite sides of a parallelogram are parallel.

Learn more about a parallelogram here:

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Related Questions

What is 6 + pi + 7 to the 6th power. ( 6 + 3.14 + 7 + 7^6)

Answers

Hey there!

(6 + 3.14 + 7 + 7^6)

= 6 + 3.14 + 7 + 7^6

= 9.14 + 7 + 7^6

= 16.14 + 7 * 7 * 7 * 7 * 7 * 7

= 16.14 + 49 * 49 * 49

= 16.14 + 2,401 * 49

= 16.14 + 117,649

= 117,665.14


Therefore, the answer should be:

117,665.14


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

6. What is the probability that a student prefers comedy, given that the student is in 10th grade? (2 points)

7. What is the probability that a student prefers comedy, given that the student is in 12th grade? (2 points)

8. What is the probability that a student does not prefer action, given that the student is in 9th grade? (2 points)

Answers

Answer:

    6. 1/8

    7. 1/16

    8. 3/16

Step-by-step explanation:

Question 6

P (comedy, 10th grade) = No. of 10th graders preferring comedy/TotalP (comedy, 10th grade) = 2/16P (comedy, 10th grade) = 1/8

Question 7

P (comedy, 12th grade) = No. of 12th graders preferring comedy/TotalP (comedy, 12th grade) = 1/16

Question 8

P (not action, 9th grade) = No. of 10th graders not preferring action/TotalP (not action, 9th grade) = 4 - 1 / 16P (not action, 9th grade) = 3/16

if x/5 + 6 = -14, then x =

Answers

Answer:

The answer is (-100).

Step-by-step explanation:

Given;x/5 + 6 = -14To Find;The value of x

Now,

x/5 + 6 = -14

Cross multiplication

x + 5 × 6 ÷ 5 = -14

x + 30/5 = -14

Multiply 5 both sides we get,

x + 30/5 × 5 = -14 × 5

x + 30 = -70

x + 30 – 30 = -70 – 30

x = -100

Thus, The value of x is (-100).

Answer:

[tex]\huge\boxed{\sf x = -100}[/tex]

Step-by-step explanation:

Given Equation:

x/5 + 6 = -14

Subtract 6 to both sides

x/5 = -14 - 6

x/5 = -20

Multiply 5 to both sides

x = -20 × 5

x = -100

[tex]\rule[225]{225}{2}[/tex]

PLEASSEEEE HELP ASAP , WHAT IS THE SHAPE OF THE BASE AND SURFACE AREA?

Answers

Answer:

Total surface area : 733

The shape of the base is a rectangle with sides 11 in. and 12 in.

Step-by-step explanation:

The shape of the base is a rectangle with sides 11 in. and 12 in.

The surface area is the sum of the areas of the 5 sides.

Area of the base = 11*12 = 132

Area of the two triangles =  (11*16)/2 = 88

Area of the back rectangle = 192

The theorem of Pitagora to find the oblique side: square root of (11*11 + 16*16)= 19.42 in.

So the area of the oblique face: 19.42* 12 = 233 (almost :) )

So total surface area: 132 + 88*2+192+233= 733 square in

This figure represents a small paperweight that is to be covered on all sides with a plaid fabric.

How much fabric is needed to cover the paperweight?

Enter your answer as a decimal in the box.

cm²

HELP ASAP 50 POINTS!!!!

Answers

Find total surface area

L=4.5cmB=5cmH=3.5cm

Now

TSA

2(LB+BH+LH)2(4.5×5+3.5×5+3.5×4.5)2(55.75)111.5cm²

Answer:

111.5 cm²

Step-by-step explanation:

Fabric needed to cover paperweight = Surface Area

Surface Area

2(LH + BH + LB)2(5 x 3.5 + 4.5 x 3.5 + 5 x 4.5)2(17.5 + 15.75 + 22.5)2(55.75)111.5 cm²

A car leaves Town A for Town B, which are 550 km apart, at an average speed of
72 km/h. At the same time, a truck leaves Town B for Town A and travels along
the same road as the car at an average speed of 38 km/h. Find the time taken for the
two vehicles to meet.

Answers

Answer:

It will take 4 hours for the two vehicles to meet

Step-by-step explanation:

A sum of $1200 is invested at an interest rate of 4.25% per
year.Find the amounts in the account after 3 years if interest
is compounded annually,

Answers

Answer:

$153

Step-by-step explanation:

4.25 times 3 = 12.75 so its 12.75 percentage of 1200. Which is $153.

Find cot B if csc ß= 3/5/5 and secß -3/2​

Answers

Answer:

A) [tex]\displaystyle \frac{2\sqrt{5}}{5}[/tex]

Step-by-step explanation:

Since [tex]\csc\beta=\frac{1}{\sin\beta}[/tex], [tex]\sec\beta=\frac{1}{\cos\beta}[/tex], and [tex]\cot\beta=\frac{\cos\beta}{\sin\beta}[/tex], then [tex]\cot\beta=\frac{\csc\beta}{\sec\beta}[/tex]

This means that [tex]\displaystyle \cot\beta=\frac{-\frac{3\sqrt{5}}{5}}{-\frac{3}{2}}=\frac{-3\sqrt{5}}{5}*-\frac{2}{3}=\frac{2\sqrt{5}}{5}[/tex]

Three quarters of the sum of two numbers is 6 and half the difference of the two numbers is 1​

Answers

Answer:

1 number= 4.5

2 number= 3.5

Step-by-step explanation:

if (2x+5,7)=(7,y), find the value of x and y​

Answers

[tex]\text{Given that,}~ (2x+5, 7)=(7,y)\\\\\text{So,}~ y = 7 ~ \text{and}~2x +5 = 7\\\\~~~~~~~~2x+ 5=7 \\\\\implies 2x = 7- 5 \\\\\implies 2x = 2\\\\\implies x = \dfrac 22 \\\\\implies x = 1\\\\\text{Hence,}~~ x = 1 ~ \text{and}~ y = 7[/tex]

Can anyone PLEASE HELP ME ASAP!!!???

Answers

Answer:

the independent variable is s

the dependent one is m

hope this helps <3

independent variable= s (spaghetti bowl)
dependent variable= m (meatballs)

What are the answers to these 3 problem 3 is how tall the tree was before it was broken​

Answers

Does question 1 state any angles given?
Question 2, is it a right-angled triangle?
And question 3, is it a right-angled triangle too?

what is the mean of 10,16,14,12and 16?show the solution pls...​

Answers

Answer:

13.6

Step-by-step explanation:

what is the mean of 10,16,14,12and 16?

Find the sum of the values by adding them all up.

Divide the sum by the number of values in the data set.

10 + 16 + 14 + 12 + 16 = 68

68 : 5 = 13.6

or

(10 + 16 + 14 + 12 + 16) : 5 = 13.6

The vertical number line in a Cartesian coordinate system is called a what?

Answers

Answer:

the X axis line which bisects the y axis with an angle of 90 degrees

The vertical number line in a Cartesian coordinate system is known as the “y-axis”.

the length, breadth and height of a cuboid are in the ratio 5:4:2 if the volume of cuboid is 5000 cm,then what will be the surface of the area of the cuboid​

Answers

Answer:

  1900 cm²

Step-by-step explanation:

We can use the given ratios and volume to find the scale factor for the dimensions. Knowing the dimensions, we can compute the surface area using the formula for a cuboid.

__

dimensions

Let k represent the scale factor. Then the actual dimensions will be 5k, 4k, and 2k. The actual volume will be ...

  V = LWH

  5000 cm³ = (5k)(4k)(2k) = 40k³

  k³ = (5000 cm³)/40 = 125 cm³

  k = ∛(125 cm³) = 5 cm

The cuboid dimensions are 5(5 cm) = 25 cm, 4(5 cm) = 20 cm, and 2(5 cm) = 10 cm.

__

area

The surface area of the cuboid can be computed from ...

  A = 2(LW +H(L +W))

  A = 2((25 cm)(20 cm) +(10 cm)(25 +20 cm))

  A = 2(500 cm² +(10 cm)(45 cm)) = 2(950 cm²) = 1900 cm²

The surface area of the cuboid is 1900 cm².

What is the length of the two equal sides?
What is the length of the third side?

Answers

Answer:

the length of the third side is 21

Step-by-step explanation:

let P be the perimeter of the triangle

    a the length of the first and second sides

    b the length of the 3rd side

…………………………………………………

Then

P = a + a + b

  = 2a + b

Where b = a + 6

Therefore

P = 2a + (a + 6)

  = 3a + 6

We substitute the numbers we have into the equation:

51 = 3a + 6

⇔ 45 = 3a

⇔ a = 15

Since b = a + 6 then b = 15 + 6 = 21

Please see question. Thanks

Answers

Answer:

Hello the answer would be A units up because my caluaitons Sense that it is A

A canister if pet is in the shape of a cylinder with a radius of 6 inches and a height of 20 inches. What is the volume of the canister? Round your answer to the nearest cubic inch

Answers

2,262 in^3 is the correct answer

pls answe asap and show work!
11. What is (f.g)(x)?
f(x) = x3 + 3
g(x) = 2x2 + x - 1
-
=

Answers

(fg)(x)f(x).g(x)(x³+3)(2x²+x-1)x³(2x²+x-1)+3(2x²+x-1)2x⁵+x⁴-x³+6x²+3x-3

Answer:

[tex](f \cdot g)(x)=2x^5+x^4-x^3+6x^2+3x-3[/tex]

Step-by-step explanation:

Given functions:

[tex]f(x)=x^3+3[/tex]

[tex]g(x)=2x^2+x-1[/tex]

Therefore:

[tex]\begin{aligned}(f \cdot g)(x) & =f(x) \cdot g(x)\\& = (x^3+3)(2x^2+x-1)\\& = x^3(2x^2)+x^3(x)+x^3(-1)+3(2x^2)+3(x)+3(-1)\\& = 2x^5+x^4-x^3+6x^2+3x-3\end{aligned}[/tex]

a family has three children child a child be and child C child a is younger than child see child be is not older than child a from youngest to oldest how are the children ordered by age​

Answers

Answer:

I'd say the order from youngest to oldest, would be B A C.

Step-by-step explanation:

My reason is that, A is younger than C or in other words C is older than A. Also B is NOT older than A, so therefore B must be younger than A.

So from youngest to oldest, B is younger than A, A is younger than C, and that means C is the absolute oldest out of the three children.

Hope this helps you :)

Sorry if it didn't though.

n physics, we can find the amount of force needed to push or pull an object by multiplying the object’s mass by the object’s acceleration. The units of force are called Newtons.

force = mass × acceleration

F = ma

Find the amount of force it takes to push Jeff’s race car if the mass of the race car is 750 kg and the acceleration is 2.5 StartFraction m Over s squared EndFraction
The amount of force needed to push Jeff’s race car is
Newtons.

Answers

The amount of force it takes to push Jeff’s race car will be 1875 Newtons.

What is force?

Force is explained as the multiplication of mass and acceleration. Its unit is N. It is the external agent which helps to change the shape and size of an object.

The formula of force will be

F = ma

Where m is the mass of the body and a is the acceleration of the body.

Then the amount of force it takes to push Jeff’s race car if the mass of the race car is 750 kg and the acceleration is 2.5 meters per square second.

Then we have

F = 750 x 2.5

F = 1875 Newton

To learn more about the force refer to the link;

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I need help!!! Solve the equation 7= -10s -3

Answers

Answer:

s = -1

Step-by-step explanation:

7 = -10s -3 <== add 3 to both sides

+3        + 3

10 = -10s <== divide both sides by -10

/-10    /-10

-1 = s

Final answer: -1 = s  or  s = -1

Hope this helps!

what is the slope of the line that passes through the point (9,4) and (3,9)?​

Answers

Step-by-step explanation:

m is for slope of the line that passes through

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

[tex]m = \frac{9 - 4}{3 - 9} [/tex]

[tex]m = \frac{5}{ - 6} = - \frac{5}{6} [/tex]

The ideal weight (in stones) of people of varying heights is given in the table below. Draw a scatter plot for the data. Height (feet/inches) 5 ft 0” 5 ft 1” 5 ft 2” 5 ft 3” 5 ft 4” 5 ft 5” Weight (stones) 9.1 9.5 9.8 10 10.4 10.8

Answers

The attached figure represents the scatter plot for the data

How to draw a scatter plot for the data?

The table of values is given as:

Height: 5 ft 0” 5 ft 1” 5 ft 2” 5 ft 3” 5 ft 4” 5 ft 5”

Weight: 9.1        9.5     9.8       10         10.4  10.8

Next, we convert the heights to feet

So, we have:

Height: 5     5.08  5.17   5.25   5.33  5.42

Weight: 9.1    9.5    9.8      10    10.4  10.8

Next, we plot the scatter plot (see attachment) where the heights are plotted on the x-axis, and the weights are plotted on the y-axis

Read more about scatter plots at:

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Answer:

option  A

first graph.

a line passes through the point (-4,8) and a slope of 5/4. write an equation in slope-intercept form for this line.

Answers

Answer:

8=5/4*-4+(b)

b=3

hence

y=(5/4)x+3

Need help on telling which ones are similar and not similar please and thank you!

Answers

A and B are Similar

B and C are not Similar

A and C are not Similar

--

Square A and B use numbers in the tens whilst square C used 72 not tens and because A and B you add 20 to both sides and then they are equal.

Sort these in either Combination or Permutation PLEASE HELP!!!! 100 POINTS

Answers

A permutation is where there is a difference in positions where the things will be selected into (order matters). Combination is where order doesn’t matter. I have sorted them but I am not sure about the starting line up one. If the players are selected into specific positions then it would be a permutation.

If order matters then that's permutation else that's combination

So

Here the answers are

#1

Teams cannot be repeated

Permutation

#2

Teachers also can't be repeated

Permutation

#3

Can't repeat

Permutation

#4

Already mentioned

Permutation

#5

Repeating allowed

Combination

#6

Can be repeated

Combination

#7

Can't be repeated

Permutation

#8

Can be repeated

Combination

#9

Combination

There are 4 green apples and 6 red apples in a bag. If you pick one apple without looking, the probability that the apple is green is and the probability that it is red is .

Answers

Answer:

you wold more likly get a red than a green

Step-by-step explanation:

Could you help me with this question, please?

Answers

Answer:

B) 1/4 gallon

Step-by-step explanation:

There is 5/8 in a jug

[tex]\sf \dfrac{5}{8}=\dfrac{2}{8}+\dfrac{1}{8}+\dfrac{1}{8}+\dfrac{1}{8}[/tex]

There are 3 jugs containing (1/8). To these jugs 1/8 of the juice from (5/8) is poured.

So, now all the jugs will have (2/8) = 1/4

help will mark Brainliest!!​

Answers

Answer:

Subtract 4 from 17, then divide by 3.

Step-by-step explanation:

hope this helps =)

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