Given AD = BC and AD parallel BC Prove ABCD is a parallelogram proof

Answers

Answer 1

Answer: the ABC is up illogic of the Paul Graham that makes the box square root to DC=BA

Step-by-step explanation:

Answer 2

Statements                                                                 Reasons

1. AD ≅ BC; AD ∥ BC                                              1. given

2. ∠CAD and ∠ACB are alternate interior ∠s          2. definition of alternate                                                                                    interior angles

3. ∠CAD ≅ ∠ACB                                                    3. alternate interior                                                                                          angles are congruent

4. AC ≅ AC                                                              4. reflexive property

5. △CAD ≅ △ACB                                                  5. SAS congruency                                                                                                   theorem

6. AB ≅ CD                                                            6. Corresponding Parts                                                                                   of Congruent triangles are                                                                               Congruent (CPCTC)

7. ABCD is a parallelogram                                  7. parallelogram side                                                                                         theorem


Related Questions

Find the second endpoint of the segment that has an endpoint at (-1, 3) and its midpoint
at (8,-2).

Answers

Answer:

(17, -7)

Step-by-step explanation:

you add 9 to the x-value, and subtract 5 from the y-value. If you look closely, you'll see that that's what happens for the first coordinate too. -1+9=8. 3-5=-2. I hope that was helpful for you!

Freddie put an empty bucket underneath a leaking pipe. After 3/4 hours, Freddie collected 1/2 cups of water. What is the rate, in cups per hour, at which the water is leaking from the pipe?

Answers

0.35 cups/hour

To be able to determine the rate at which the water is leaking from the pipe with the information given, you have to divide the number of cups by the number of hours in which they were collected:
12 cups/34 hours= 0.35 cups/hour
According to this, the answer is that the rate at which the water is leaking from the pipe is 0.35 cups/hour.

Hope this helps!!

what is the square route of 36+2

Answers

I believe it is 8 ................

square root 38

Step-by-step explanation:

imput square root 36 plus 2

A car driving at 50 miles per hour drives 2 hours. What distance did it cover?

Answers

Answer: It travels 100 miles

Step-by-step explanation:

If it drives 50 miles an hour it would drive 100 miles an hour if it were driving for 2 hours.

Based on the speed of the car and the amount of time it was travelling, the car travelled 100 miles in 2 hours.

The distance that the car travelled can be calculated by:

Distance = Speed x Time

Speed = 50 miles per hour

Time = 2 hours

Distance = 50 x 2

= 100 miles

In conclusion, the car would have gone 100 miles.

Find out more at https://brainly.com/question/22277265.

Evaluate the expression if x= -2 and y= - 4.
3xy + 4

Answers

Answer:

28

Step-by-step explanation:

3(-2)(-4)+4=?

(-6)(-4)+4=?

24+4=-28

3(-2)(-4)+4 =
24+4 = 28

What is the equation of this line?

Answers

Answer:

y=4/3x-1

Step-by-step explanation:

Answer:

Yes.

because yea

find the solution of 4t - 2 = 9

Answers

Answer:

t = 11/4

Step-by-step explanation:

Step 1: Write out equation

4t - 2 = 9

Step 2: Add 2 on both sides

4t = 11

Step 3: Divide both sides by 4

t = 11/4

Answer:

[tex]t = 2\frac{3}{4} \\\\t = 11/4[/tex]

Step-by-step explanation:

[tex]4t -2 =9[/tex]

Collect like terms and simplify

[tex]4t=9+2\\\\4t =11[/tex]

Divide both sides of the equation by 4

[tex]\frac{4t}{4} = \frac{11}{4} \\\\t = \frac{11}{4} \\\\11\div 4 =2 \:remainder\: 3\\\\= 2\frac{3}{4}[/tex]

1. Simplify (–6x2 + x – 5) + (9x2 – 3x+6). ​

Answers

Answer:

= 7-2x. is the answer :p

I NEED HELP ASAP SOMEONE HELP ME PLEASE, I MEDD SOMEONE WHO CAN HELP ME WITH THE REST OF MY QUESTIONS

Answers

Answer:

Step-by-step explanation:

K(0 , 4)

Midpoint M (3 , 3)

Let Point  L(x₂ , y₂)

[tex]Midpoint= (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}\\\\\\ (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}) = (3 , 3)\\\\\\ (\frac{0+x_{2}}{2},\frac{4+y_{2}}{2}) = ( 3 , 3)\\\\\\[/tex]

Compare x and y coordinates

[tex]\frac{x_{2}}{2}=3 ; \frac{4+y_{2}}{2} = 3[/tex]

Cross multiply,

x₂ = 3*2     ; 4 + y₂ = 3*2

x₂ = 6        ;  4+ y₂ = 6

                         y₂ = 6- 4

                          y₂ = 2

L(6 , 2)

Answer:

6,2

Step-by-step explanation:

I don't think you want to know how I did it, it's pretty boring for most people except me

3(-5y+2)= 21 how do i solve this problem algebraically?

Answers

Answer:

Step-by-step explanation:

1)expand out the bracket

-15y+6=21

2) get the y to one side

6=21+15y

3) solve

15=15y

1=y

Answer:

Y= -1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(−5y+2)=21

(3)(−5y)+(3)(2)=21(Distribute)

−15y+6=21

Step 2: Subtract 6 from both sides.

−15y+6−6=21−6

−15y=15

Step 3: Divide both sides by -15.

−15y −15 = 15 −15

Y= -1

What is least to greatest 2/3 0.6 -0.4 -3/5
4/5?

Answers

-3/5, -0.4, 0.6, 2/3, 4/5
-3/5 -0.4 0.6 4/5 2/3

Victor is selling lemonade to raise money for his school. The amount of money collected from his sales each day is summarized in the plot box below. What is the interquartile range of the data

Answers

Answer:

7

Step-by-step explanation:

Just put it

Answer:

7

Step-by-step explanation:

Did it in I ready

Ora Nation
sela
Barney went to play laser tag for the day and spent a total of $48.75. The laser tag
arena charges $12.50 for the first game and $7.25 for each additional game. The cost
of the first three games is shown below.
Time E
Attempt
7 Hour
1 game
2 games
3 games
$12.50
$19.75
$27.00
The equation to determine the number of additional games, g, Barney played is
7.259 + 12.50 = 48.75
• Solve the equation to determine the number of additional games, g, Barney played
. What is the total number of laser tag games that Barney played?
Barney played a total of
games.
Activate

Answers

Answer:

The first blank is g=5 Barney played 6 games of lazer tag

Step-by-step explanation:

7.25g+12.50=48.75

First subtract 12.50 from 48.75

7.25g=36.25

then divide 7.25 from both side

g=5

thats how many games he played that cost 7.25 and he played one game that cost 12.50 so he played 6 games  

Find the average rate of change in the price of gasoline from 2006 to 2008

Year

Cost

2005

$2.31

2006

$2.62

2007

$2.84

2008

$3.30

2009

$2.41

2010

$2.84

2011

$3.58

2012

$3.68

А.

$0.34/year

В.

$0.28/year

C.

$0.32/year

D. $0.35/year

Answers

Answer:

A

Step-by-step explanation:

Which expression is equivalent to 21 - (-5)?
O A. -21 + 5
O B. 21 + 5
O C. -21 - 5
O D. 21 - 5

Answers

The answer is 21+5. Since there are 2 subraction of a negative it becomes a positive
It’s 21+5 (which is letter B) You turn the two negative signs positive.

Factor Completely 4x^3 - 6x^2 + 16x - 24

Answers

Answer: 2(x+2i)(x-2i)(2x-3)

Step-by-step explanation:

Answer:

I got this answer.

Is it correct

g Z-Test for Population Means Calculate z-statistic of a population mean. Keith sampled 10 private universities in Colorado and recorded the tuition cost. Keith wants to test the hypothesis that the tuition of these 10 universities is more expensive than the national average tuition, which is $29,056 with a population standard deviation of $3,339. z equals fraction numerator x with bar on top minus mu over denominator begin display style fraction numerator sigma over denominator square root of n end fraction end style end fraction If the sample mean is $31,650, what is the z-score

Answers

Answer: 2.46

Step-by-step explanation:

Formula for x-score is given by :-

[tex]Z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

, where [tex]\overline{x}[/tex] = Sample mean , [tex]\mu[/tex]= population mean, [tex]\sigma[/tex] = population standard deviation, n= sample size.

As per given , n=10

[tex]\mu[/tex]= $29,056

[tex]\sigma[/tex] = $3,339

[tex]\overline{x}[/tex] =  $31,650

Then,

[tex]z=\dfrac{ 31650-29056}{\dfrac{3339}{\sqrt{10}}}\\\\=\dfrac{2594}{\dfrac{3339}{3.16227766017}}\\\\=\dfrac{2594}{1055.88451073}=2.45670807142\approx 2.46[/tex]

Hence, the z-score = 2.46

The diagram shows the preimage ABCD and five reflected images. Match each reflection of ABCD with its Image after
the transformation. Drag the items on the left to the correct location on the right.

Answers

Answer:

there is the answer good luck

Create a one-to-one function.

Answers

Answer:

f(x)=x

Step-by-step explanation:

that's keeping it simple... ;-)

What is the solution to the following equation 8x-3(2x-4)=3(x-6)

Answers

Answer:

X=30

Step-by-step explanation:

Answer:

[tex]x=-6[/tex]

Step-by-step explanation:

[tex]8x-3(2x-4) = 3(x-6)[/tex]

[tex]8x-6x+12 = 3x-18[/tex]

[tex]2x+12 = 3x-18[/tex]

[tex]2x=3x-30[/tex]

[tex]5x= -30[/tex] Divide by 5 next

[tex]x=-6[/tex]

Hope this helps, have a great day:)

Can someone explain aswell

Answers

Answer:

24 ft²

Step-by-step explanation:

find the length of the base of each triangle through a² + b² = c², c being hypotenuse.

after finding the length of each individual base, use A= 1/2bh (multiply base and height and then divide by 2) to calculate area of each triangle. then add and round. hope this helps

if a/b = 5/4 and b/c = 3/2, what is c/a

Answers

Step-by-step explanation:

[tex] \frac{a}{b} = \frac{5}{4} \: \: \: \: \: \: \frac{b}{c} = \frac{3}{2} [/tex]

[tex] \frac{a}{b} \times \frac{b}{c} = \frac{5}{4} \times \frac{3}{2} [/tex]

[tex] \frac{a}{c} = \frac{15}{8} [/tex]

[tex] \frac{c}{a} = \frac{8}{15} [/tex]

Answer:

[tex]\huge\boxed{\sf \frac{a}{c} = \frac{15}{8} \ \ OR \ \frac{c}{a}= \frac{8}{15} }[/tex]

Step-by-step explanation:

[tex]\sf Given \ that\\\\\frac{a}{b} = \frac{5}{4} \\\\\frac{b}{c} = \frac{3} {2}\\\\Multiplying \ both \ of \ the \ above \ equations\\\\\frac{a}{b} * \frac{b}{c} = \frac{5}{4} * \frac{3}{2} \\\\\frac{a}{c} = \frac{5*3}{4*2} \\\\\bold{\frac{a}{c} = \frac{15}{8} }[/tex]

Hope this helped!

~AnonymousHelper1807

in Sean’s fish tank, there are 6 times as many goldfish as guppies. There are a total of 21 fish in the tank. How many more goldfish are there than guppies.

Answers

Answer: There are 15 more goldfish than guppies.

Step-by-step explanation:

Since there are 6 times as many goldfish as guppies, then. Now 3 + 18 = 21 the total fish in the tank. Hence there are 3 guppies and 18 goldfish. and 18 - 3 = 15, thus there are 15 more goldfish than guppies.

Which number is equivalent to 4/5?
A. 25
100
B. 0.2
O C.
16
100
D. 0.8
PLEASE HELP ASAP

Answers

the answer is D . (0.8)

Answer:

D) 0.8

Step-by-step explanation:

To get this answer, divid 4 by 5! 4 divided by 5 is equivalent to 0.8!

Can someone please help me?

Answers

Answer:

2/5 so 4/10

THE ANSWER IS A

Answer:

4/10

Step-by-step explanation:

get a common denominator (which is 10) then subtract

Find the value of x for which l is parallel to m. The diagram is not to scale.

Answers

Answer:

x= 41

Step-by-step explanation:

3x-43= 80 is the equation since they are alternate interior angles.

Step 1- Add 43 to both sides.

3x-43= 80

  +43 +43

Step 2- Divide both sides by 3.

3x= 123

3      3

x= 41

The given angles are the alternate interior angles formed by a common

transversal to two parallel lines.

The value of x for which line l is parallel to line m is c. 41°.

Reasons:

When line l is parallel to line line m, we have;

The alternate interior angles will be equal

Therefore;

(3·x - 43)° = 80°

Which gives;

[tex]x = \dfrac{80^{\circ} + 43^{\circ} }{3} =41^{\circ}[/tex]

The value of x is 41°

Learn more here:

https://brainly.com/question/16987641

These triangles are scaled copies of each other.

For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first?

Answers

Answer/Step-by-step explanation:

Recall: the ratio of the areas of two similar figures = the square of the ratio of the corresponding sides of the similar figures.

This will give us the scale factor.

The scale factor indicates how many times larger the second triangle is than the area of the first.

Let's find how many times larger is the area of the second triangle is to the first:

1. ∆ G And ∆ F

[tex] \frac{Area_{F}}{Area_{G}} = \frac{side_{F}^2}{side_{G}^2} [/tex]

[tex] \frac{Area_{F}}{Area_{G}} = \frac{6^2}{3^2} [/tex]

[tex] = \frac{36}{9} = 4 [/tex]

∆F is 4 times larger than ∆G

2. ∆ G And ∆ B

[tex] \frac{Area_{B}}{Area_{G}} = \frac{side_{B}^2}{side_{G}^2} [/tex]

[tex] \frac{Area_{B}}{Area_{G}} = \frac{2^2}{4^2} [/tex]

[tex] = \frac{4}{16} = 0.25 [/tex]

∆B is 0.25 times ∆G

3. ∆ B And ∆ F

[tex] \frac{Area_{G}}{Area_{B}} = \frac{side_{F}^2}{side_{B}^2} [/tex]

[tex] \frac{Area_{F}}{Area_{B}} = \frac{8^2}{2^2} [/tex]

[tex] = \frac{64}{4} = 4 [/tex]

∆F is 16 times larger than ∆B

4. ∆ F And ∆ H

[tex] \frac{Area_{H}}{Area_{F}} = \frac{side_{H}^2}{side_{F}^2}} [/tex]

[tex] \frac{Area_{H}}{Area_{F}} = \frac{2^2}{6^2} [/tex]

[tex] = \frac{4}{36} = \frac{1}{9} [/tex]

∆H is ⅑ times ∆F

5. ∆ G And ∆ H

[tex] \frac{Area_{H}}{Area_{G}} = \frac{side_{H}^2}{side_{G}^2} [/tex]

[tex] \frac{Area_{H}}{Area_{G}} = \frac{2^2}{3^2} [/tex]

[tex] = \frac{4}{9} [/tex]

∆G is 4/9 times ∆G

6. ∆ H And ∆ B

[tex] \frac{Area_{B}}{Area_{H}} = \frac{side_{B}^2}{side_{H}^2} [/tex]

[tex] \frac{Area_{B}}{Area_{H}} = \frac{1.5^2}{2^2} [/tex]

[tex] = \frac{2.25}{4} = 0.6 [/tex] (nearest tenth)

∆B is 0.6 times ∆H

Line q passes through points (9, 9) and (1, 2). Line r is perpendicular to q. What is the slope of line r?

Answers

Answer:

y=mx+b

Step-by-step explanation:

What number is 344% of 107

Answers

Answer:

368.08

So I turn the numbers into fractions so 344% would be 344/100 because percentages are out of 100. Since it is 344% OF 107, you'd put 107 on the bottom of the fraction and the answer will go on top. I multiply the IS with the OF (IS is the top number and OF is the bottom) so you'd multiply 107x344 to get 36808. Since 344 is a percent (out of 100) you have to do divide the answer by 100 to get 368.08

I hope that helps!

8p -4p =2p+6 p= Help please

Answers

Answer:

[tex]p=3[/tex]

Step-by-step explanation:

[tex]8p-4p=2p+6[/tex]

Solve the left side:

[tex]4p=2p+6[/tex]

Subtract 2p from both sides:

[tex]4p-2p=2p+6-2p[/tex]

[tex]2p=6[/tex]

Divide both sides by 2:

[tex]\frac{2p}{2}=\frac{6}{2}[/tex]

[tex]p=3[/tex]

Answer:

p=3

Step-by-step explanation:

8p-4p=2p+6

4p=2P+6

4p-2p=6

2p=6

P=6/2

p=3 ans

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