Prove ABCD is a parallelogram by showing both pairs of opposite sides are parallel. please Show All Work! Thanks!!

Prove ABCD Is A Parallelogram By Showing Both Pairs Of Opposite Sides Are Parallel. Please Show All Work!

Answers

Answer 1

Answer:

Here You Go! I'm not really sure about this one but i tried.

Step-by-step explanation:

Prove ABCD Is A Parallelogram By Showing Both Pairs Of Opposite Sides Are Parallel. Please Show All Work!
Answer 2

Answer:

Step-by-step explanation:

To prove this we should first make a little representation to get an idea of how will proceed to work .

To solve it we should use vectors so the first step is to identify this vectors :

we have four points : A/B/C/DA(-2,-4)B(1,2)C(2,10)D(-1,4)VECTOR AB WITH VECTOR DC VECTOR AD WITH VECTOR BC

NOW LET'S IDENTIFY THEIR COORDINATES :

VECTOR AB (1-(-2),2-(-4)) VECTOR DC (2-(-1),10-4)VECTOR AD (-1-(-2),4-(-4)) VECTOR BC (2-1,10-2)

We get :

VECTOR AB (3,6) VECTOR DC (3,6)VECTOR AD (1,8) VECTOR BC  (1,8)

We notice that the opposite ones have the same coordinates so the edges are parallel .

If we want to check more we can calculate the lenghts :

AB=[tex]\sqrt{3^{2}+6^{2} }[/tex]     DC=[tex]\sqrt{3^{2}+6^{2} }[/tex]

So AB=DC

AD=[tex]\sqrt{1^{2}+8^{2} }[/tex]     BC=[tex]\sqrt{1^{2}+8^{2} }[/tex]

So AD=BC

SO ABCD IS A PARALLELOGRAM

Prove ABCD Is A Parallelogram By Showing Both Pairs Of Opposite Sides Are Parallel. Please Show All Work!

Related Questions

What is the simplified form of



30y2|xz3|

30x2y2z4

360xy2|xz3|

360xy2|z3|

Answers

Answer:

752x·39·2z·34y

Step-by-step explanation:

add like terms then put it all into multiplication

Answer:

c on edge

Step-by-step explanation:

calculate the length of the unknown side of this right angled triangle

Answers

Answer:

≈ 12.05

Step-by-step explanation:

Pythagora

x = √(9² + 8²)

= √(81 + 64)

= √145

≈ 12.05

Use the diagram to find lengths. BP is the perpendicular bisector of AC. QC is the
perpendicular bisector of BD. AB = BC = CD.
Suppose BP = 16 cm and AD = 90 cm. What is the length of PC?
А
B
C
PC is
cm in length.

Answers

Answer:

The length of the side PC is 34 cm.

Step-by-step explanation:

We are given that BP is the perpendicular bisector of AC. QC is the perpendicular bisector of BD. AB = BC = CD.

Suppose BP = 16 cm and AD = 90 cm.

As, it is given that AD = 90 cm and the three sides AB = BC = CD.

From the figure it is clear that AD = AB + BC + CD

So, AB = [tex]\frac{90}{3}[/tex] = 30 cm

BC = [tex]\frac{90}{3}[/tex] = 30 cm

CD = [tex]\frac{90}{3}[/tex] = 30 cm

Since the triangle, BPC is a right-angled triangle as [tex]\angle[/tex]PBC = 90°, so we can use Pythagoras theorem in this triangle to find the length of the side PC.

Now, the Pythagoras theorem states that;

[tex]\text{Hypotenuse}^{2} = \text{Perpendicular}^{2} +\text{Base}^{2}[/tex]

[tex]\text{PC}^{2} = \text{BP}^{2} +\text{BC}^{2}[/tex]

[tex]\text{PC}^{2} = \text{16}^{2} +\text{30}^{2}[/tex]

[tex]\text{PC}^{2} = 256+900[/tex] = 1156

[tex]\text{PC}=\sqrt{1156}[/tex]

PC = 34 cm

Hence, the length of the side PC is 34 cm.

Translate the following into an algebraic expression: If it would take Mark m hours to clean the house alone and with his brother Sam they can clean the house together in t hours. How many hours would it have taken Sam if he was working alone?

Answers

Answer:

s = t - m

Step-by-step explanation:

Assuming s equals the amount of time it would take Sam, subtracting the amount of time it takes Mark from the time it takes them together would give you the time Sam would take since with Sam's help, the time would equal t hours. Then without Mark's help is how long it would take him.

The following quadrilateral is a parallelogram.
S
T
3x - 8
x + 10
U
The length of side TU is __units long.​

Answers

Answer:

19 units

Step-by-step explanation:

In a parallelogram, opposite sides are congruent. So, we can set up a formula that looks like this: 3x - 8 = x + 10. When you solve for x, you'll get 9. 9 + 10 = 19 units

The length of the side TU of the parallelogram is 19 units long.

What is a parallelogram?

A parallelogram is a quadrilateral with opposite pair of sides parallel and equal.

How to solve the given question?

In the question, we are given a parallelogram STUV.

The length of the side TU is given as x + 10.

The length of the side VS is given as 3x - 8.

As the sides, TU and VS are opposite to each other, and the quadrilateral STUV is a parallelogram, so they are equal.

∴ TU = SV

or, x + 10 = 3x - 8

or, x + 10 - 3x = 3x - 8 - 3x (Subtracting 3x from both the sides)

or, -2x + 10 = -8 (Simplifying)

or, -2x + 10 - 10 = -8 - 10 (Subtracting 10 from both sides)

or, -2x = -18 (Simplifying)

or, -2x/(-2) = -18/(-2) (Dividing both sides by -2)

or, x = 9 (Simplifying).

Now, TU = x + 10 = 9 + 10 = 19.

∴ The length of the side TU of the parallelogram is 19 units long.

Learn more about parallelograms at

https://brainly.com/question/24056495

#SPJ2

Determine the slope of the following equation: 2y -4x = 9

Answers

In y=mx+b, this is y=2x+9/2. The slope is 2

Write down the gradient and y-intercept of each line

y=4x - 1

y=
[tex] \frac{1}{3} x + 3[/tex]
help pls​

Answers

Answer:

Equation of a line is y = mx + c

where m is the gradient

c is the y intercept

a.)

y = 4x - 1

Comparing with y = mx + c

The gradient = 4

y intercept = - 1

b.)

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

Comparing with y = mx + c

The gradient is 1/3

The y intercept is 3

Hope this helps you

Answer:

4 and  -1

1/3 and 3

Step-by-step explanation:

for y=4x-1

y intercepts where  x=0 so f(0)=4*0-1=-1

y intecepts = -  1

the gradient is y2-y1/x2-x1 where y2=f(x2)=4x2-1 and y1=f(x1)=4x1-1

the gradient is 4x2-1-4x1+1/x2-x1=4 ( the coeficient of x)

for y=1/3x+3

the gradient is 1/3

y intercepts is f(0)=3

In a cookie-eating contest, Luke ate 8 cookies in 1 minute and 30 seconds. At this rate, how many cookies will he eat in 3 minutes and 45 seconds?

Answers

Answer:

20 cookies

Step-by-step explanation:

Change from minutes and seconds to seconds

1 minute 30 seconds = 90 seconds

3 minutes 45 seconds = 3 *60 +45 = 180+45 = 225 seconds

Now we can use ratios to solve

8 cookies          x cookies

-------------   = -----------------

90 seconds         225 seconds

Using cross products

8 * 225 = 90x

Divide each side by 90

1800/90 = 90x/90

20 =x

If it took him 1 minute and 30 seconds to eat 8 cookies, in 3 minutes and 45 seconds he could eat 20 cookies.(3 minutes and 45 seconds is 225 seconds. 1 minutes and 30 seconds is 90 seconds. 225/90=2.5, 2.5•8=20)

Items 17-18: Use the diagram to the right. I just need 17-18 please and thank you!!!

Answers

Answer:

17. (B)

18. both opposite sides are equal in length and height.

Step-by-step explanation:

17 is B
18 both opposite sides are equal in length and height

Miguel owns a music store and sells DVDs
at $16 per DVD. If Rebecca orders 6 DVDs,
how much does it cost?

Dependent:

Independent:

Continuous or Discrete:

Function:

Solution:

Answers

Answer:

Dependent = cost

independent = number of DVDs

Discrete

Function :f(x) = 16 x  = 16 (6)

Solution = $96

Step-by-step explanation:

Hi, to answer this question we have to write a function:

The cost (f(x)) must be equal to the price per DVD (16) multiplied by the number of DVDs (x)

Function: f(x) = 16 x  

Dependent = f (x) =(cost)

Independent = x (number of DVDs)

Solution for x=6

f(6) = 16 (6)

Cost = $96

Since the number of DVDs can't be fractional it's a Discrete function.

Answer:

u have insta

Step-by-step explanation:

A store sells 3 categories of kitchen items: cups, bowls, and spoons. There are 5 types of cups, 4 types of bowls, and 2 types of spoons. How many different combinations can you buy in this store of: a A set of a bowl, cup, and spoon Answer:

Answers

Answer:

40.

Step-by-step explanation:

That is 5 * 4 * 2

= 40 combinations of a set of bowl, cup and spoon.

The height, h, in feet of a golf ball above the ground after being hit into the air is given by the equation, h = -16t 2 + 64t, where t is the number of seconds elapsed since the ball was hit. How many seconds does it take for the golf ball to hit the ground? It will take _____ seconds for the ball to hit the ground.

Answers

Answer:

4 seconds.

Step-by-step explanation:

The given equation is

[tex]h=-16t^2+64t[/tex]

where, h is height in feet of a golf ball above the ground after being hit into the air and t is the number of seconds elapsed since the ball was hit.

We need to find the time for the ball to hit the ground.

At ground level the height of ball is 0, i.e., h=0.

[tex]-16t^2+64t=0[/tex]

[tex]-16t(t-4)=0[/tex]

Using zero product property, we get

[tex]-16t=0\Rightarrow t=0[/tex]

[tex]t-4=0\Rightarrow t=4[/tex]

Therefore, it will take 4 seconds for the ball to hit the ground.

Answer:

4 seconds

That's your answer!!

5. A rectangle has a perimeter of 80 inches and a length of 27 inches. Use the formula P=2w + 2/to find the width.

Answers

Answer:

13 inches

Step-by-step explanation:

Use the formula P = 2l + 2w to find width.

80 = 2(27) + 2w

80 = 54 + 2w

80 - 54= 2w

26 = 2w

w = 26/2

w = 13

The width of the rectangle is 13 inches.

Width is 13 inches

80= 2L+2W
80=2(27+w)
80=54+2W
26=2W
W=13 inches

am I correct? if not what's the right answer?​

Answers

Answer:

2x+y -3 =0

Step-by-step explanation:

0 = Ax + By + C is the general form of a line

2x+4y +2 = 3y +5

Subtract 3y from each side

2x+4y-3y +2 =3y+5-2y

2x+y +2 = 5

Subtract 5 from each side

2x+y +2-5 = 5-5

2x+y -3 =0


What is the value of the expression
2 1/4 * (3/2 - 3/4) + (2/8 / 1/2)?

Answers

Answer: 35/16

Step-by-step explanation:

Ella makes a smoothie for breakfast every morning. Today, she wants to use melon, apple, orange, and peach. In how many different ways (orders) can she add these fruits to her blender?

Answers

Answer:

24 different ways

Step-by-step explanation:

( 1 ) We can apply factorial in this case. We have 4 elements, melon, apple, orange, and peach. The number of ways with which we have to arrange these fruits should be 4! ( again, there are 4 elements ).

4! = 4 [tex]*[/tex] 3 [tex]*[/tex] 2 [tex]*[/tex] 1

4 [tex]*[/tex] 3 [tex]*[/tex] 2 [tex]*[/tex] 1 = 12 [tex]*[/tex] 2 [tex]*[/tex] 1

12 [tex]*[/tex] 2 = 24 different ways

( 2 ) The first method was the simpler approach. You can confirm this answer through another method...simply list out the different possibilities, altering their order in a specified manner.

{ melon, apple, orange, peach }

{ melon, apple, peach, orange }

{ melon, peach, apple, orange }...and keep on trying different combinations!

Please help with this

Answers

Answer:

D. Yes The Triangles ARE ≅

Step-by-step explanation:

By definition equilateral triangles have all equal angles and sides. Since they share a side that means one of each triangle's sides are congruent. Using the transitive property (if side a ≅ side b and side b ≅ side c, then side a ≅ side c), you can prove that all other sides are congruent or equal in measure, no matter how you pair them.

Find the value of the following expression: (3^8 x 2^-5 x 9^0)^-2 x (2^-2/3^3)^4 x 3^28

sorry if this is overwhelming!!! Trying to put this out there for this Awful end exam

Answers

Answer:

4

Step-by-step explanation:

(3^8 x 2^-5 x 9^0)^-2 x (2^-2/3^3)^4 x 3^28 =

= 3^-16 x 2^10 x 1 x 2^-8 x 3^-12 x 3^28

= 3^0 x 2^2

= 4

Fred the ant is on the real number line, and Fred is trying to get to the point 0. If Fred is at 1, then on the next step, Fred moves to either 0 or 2 with equal probability. If Fred is at 2, then on the next step, Fred always moves to 1. Let e_1 be expected number of steps Fred takes to get to 0, given that Fred starts at the point 1. Similarly, let e_2 be expected number of steps Fred takes to get to 0, given that Fred starts at the point 2. Determine the ordered pair (e_1,e_2). Answer is NOT (2, 3)

Answers

Answer:

The ordered pair (e₁, e₂) is (6, 8).

Step-by-step explanation:

Consider the pathway attached below.

Consider that Fred is at 1.

It is provided that Fred moves to either 0 or 2 with equal probability, i.e. 0.50.

    e₁ :    1              3             5              7        ...

P (e₁) : 0.50       0.50²      0.50³       0.50⁴   ...

The expected number of steps Fred takes to get to 0 if he is at 1 is:

[tex]e_{1}=(1\times 0.50)+(3\times 0.50^{2})+(5\times 0.50^{3})+(7\times 0.50^{4})+...\\\\[/tex]

The sum series e₁ is an AGP.

The sum of infinite AGP is:[tex]\frac{a}{1-r}+\frac{dr}{(1-r)^{2}}[/tex]

Then the value of e₁ is:

[tex]e_{1}=\frac{1}{(1-0.50)}+\frac{2\times 0.50}{(1-0.50)^{2}}\\\\=2+4\\\\=6[/tex]

Consider that Fred is at 2.

It is provided that Fred always moves to 1 if he at step 2.

    e₂ :    2             4             6              8        ...

P (e₂) : 0.50       0.50²      0.50³       0.50⁴   ...

The expected number of steps Fred takes to get to 0 if he is at 2 is:

[tex]e_{2}=(2\times 0.50)+(4\times 0.50^{2})+(6\times 0.50^{3})+(8\times 0.50^{4})+...\\\\[/tex]

The sum series e₂ is an AGP.

The sum of infinite AGP is:[tex]\frac{a}{1-r}+\frac{dr}{(1-r)^{2}}[/tex]

Then the value of e₂ is:

[tex]e_{1}=\frac{2}{(1-0.50)}+\frac{2\times 0.50}{(1-0.50)^{2}}\\\\=4+4\\\\=8[/tex]

Thus, the ordered pair (e₁, e₂) is (6, 8).

Answer:

(3, 4)

Step-by-step explanation:

For e_1, there is first a 1/2 chance that Fred will go to point 0 on the first move, giving us an expected value of 1/2. Similarily, there is 1/4 chance that Fred will go to point 0 on the 3rd move, giving us an expected value of 3/4th moves. We continue, and we see that the expected value for the number of moves is this.

[tex]1/2 + 3/4 + 5/8 + 7/16 + 9/32 + 11/64 ...[/tex]

This equation eventually equals to 3, so e_1 is equal to 3.

For e_2, it's just e_1 + 1, because Fred has to move to point 1 in the first place.  

Which expression shows the simplified form of (8 r Superscript negative 5 Baseline) Superscript negative 3? 8 r Superscript 15 StartFraction 8 Over r Superscript 15 Baseline EndFraction 512 r Superscript 15 StartFraction r Superscript 15 Baseline Over 512 EndFraction

Answers

Answer:

[tex]\frac{r^{15}}{512}[/tex]

Step-by-step explanation:

Given

[tex](8r^{-5})^{-3}[/tex]

Required

Simplify

This can be simplified using the following law of indices;

[tex](ab)^n = a^{n}b^{n}[/tex]

The equation becomes

[tex](8^{-3})(r^{-5})^{-3}[/tex]

Express [tex]8^{-3}[/tex] as a fraction

[tex](\frac{1}{8^{3}})(r^{-5})^{-3}[/tex]

Simplify [tex]8^3[/tex]

[tex](\frac{1}{8*8*8})(r^{-5})^{-3}[/tex]

[tex](\frac{1}{512})(r^{-5})^{-3}[/tex]

The expression can further be simplified using the following law of indices;

[tex](a^m)^n = a^{mn}[/tex]

[tex](\frac{1}{512})(r^{-5})^{-3}[/tex] becomes

[tex](\frac{1}{512})(r^{-5*-3})[/tex]

[tex](\frac{1}{512})(r^{15})[/tex]

[tex]\frac{r^{15}}{512}[/tex]

Hence, the solution to [tex](8r^{-5})^{-3}[/tex] is [tex]\frac{r^{15}}{512}[/tex]

Answer:

D

Step-by-step explanation:

An apple that was 4 meters off the ground was blown off a tree. The angle between the final position of the apple and the original
position of the apple was 35
4 m
35
Note: picture not drawn to scale
Which equation can be used to find the horizontal distance, r, that the apple was displaced?

Answers

we also need the vertical distance between the original spot and the ground to solve this,

Answer:

tan 35° = \frac{4m}{r}

Step-by-step explanation:

Tan is the length of the opposite leg over the length of the adjacent length and for angle 35 4 was the length of the opposite leg and r was the length of the adjacent leg

Find The Area of the shape below

Answers

Answer:

15 units^2

solution,

Area of trapezoid:

[tex] = \frac{a + b}{2} \times h \\ = \frac{3 + 7}{2} \times h \\ = \frac{10}{2} \times 3 \\ = 15 \: {units}^{2} [/tex]

Hope this helps..

Good luck on your assignment..

Answer:

The area below has an Area of 15 (meters?) squared.

Step-by-step explanation:

[( 7 + 3 ) x 3] / 2 = [ 10 x 3 ] / 2

= 30 / 2

= 15

If the population of tigers is estimated to be 1234 and 54 were captured, marked and released into the wild. How many tigers were captured the second time if 6 of them were marked?

Answers

Answer:

About 137 tigers.

Step-by-step explanation:

You can solve this by using a proportion...

If 54 tigers out of 1234 were marked, then 6 out of x were marked in the second time.

54 / 1234 = 6 / x

54x = 1234 * 6

54x = 7404

x = 7404 / 54

x = 137.11111111, which can be rounded to about 137.

To check the work, 54 / 1234 is about 0.0438. 6 / 137 is about 0.0438. That means that about 4.38% of the tigers in each batch were marked.

POD #13
On Friday, Mica has $22.50 in her bank
account. Mica goes to the market to get
groceries for the week and ends up spending
more than planned. When Mica checks her
account, she now has a balance of $-48.15.
How much money did Mica spend at the
market?

Can u plz help me create a equation with a variable for the math problem plz?​

Answers

Answer:

She spent $70.65.

Step-by-step explanation:

Represent the amount spent by x.

Then $22.50 - x = -$48.15.

Combining like terms, we get:

$22.50 + $48.15 = x, or

x = $70.65

She spent $70.65.

*PLEASE ANSWER* Which known figures make up this unknown figure?

Answers

Answer:

C

Step-by-step explanation:

it's a half circle , rectangle and triangle that can exactly be carved out of the figure

Answer:

C

Step-by-step explanation:

half-circle ; rectangle ; triangle

When q = 15, r = 4
Find q when r = 7

Answers

Answer:

q = 18 ?

Step-by-step explanation:

This is not a complete question but ill give it a shot!

If we are following a pattern then we see q is 11 more than r.

So we do 11 + r (7) to get 18!

mark as brainliest

The answer is18。。。。。

720 over P = 9, what's P

Answers

Answer:

80

Step-by-step explanation:

720/P = 9/1

Cross multiply.

9P = 720

P = 720/9

P = 80

a particular dam contains approximately 1,900,000,000,000 cubic feet of water. for a week long spike flood, the dam released at a rate of 24,600 cubic feet per second. how much water was released during the flood?
what percentage of the dam was released during the flood?

Answers

Answer:

a) How much water was released during the flood?

14878080000 cubic feet or 14,878,080,000ft³

b) What percentage of the dam was released during the flood?

0.78%

Step-by-step explanation:

a) How much water was released during the flood?

The first step would be to find out how many seconds are in a week

60 seconds = 1 minute

60 minutes = 1 hour

24 hours = 1 day

7 days = 1 week

Hence, the number of seconds in a week =

1 week × (7 days/1 week)× (24 hours/1 day )×( 60 minutes/1 hour) ×( 60 seconds/1 minute)

= 604800 seconds

Therefore, the quantity of water released per week =

604800 seconds × 24,600 cubic feet per second

= 14,878,080,000 cubic feet or 14,878,080,000ft³

b) What percentage of the dam was released during the flood?

This is calculated as quantity released during the week ÷ Quantity of water in the dam × 100%

Quantity of water released during the flood in a week = 14,878,080,000 cubic feet

Quantity of water in the dam= 1,900,000,000,000 cubic feet of water

Percentage of the dam released during the flood =

14,878,080,000 cubic feet ÷ 1,900,000,000,000 × 100

= 0.7830568421%

Approximately = 0.78%

What is the value of x?

Answers

Answer:

x = 65

Step-by-step explanation:

interior angles = 180°

45° + (2x - 5)° = 180°

(2x - 5)° = 180° - 45°

(2x - 5)° = 135°

2x° = 135° - 5°

2x° = 130°

x° = 130° ÷ 2

x° = 65°

x = 65

P and Q are reflections of (2, – 3) across the x-axis and the y-axis, respectively. Find the length of PQ in simplest radical form.

Answers

Answer:

(-2,3)

Step-by-step explanation:

When you reflect a point over the x axis, the y value is changed to the opposite value (positive)

So (2,-3) reflected across the x axis is (2,3)

Next, we need to reflect this across the y axis

When you reflect a point over the y axis, the x value is changed to the opposite value (negative)

(2,3) reflected across the y axis is (-2,3)

Other Questions
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