Given: AD || BC and AD ≅ BC
Prove: AB || CD

Given: AD || BC And AD BCProve: AB || CD

Answers

Answer 1

Answer:

Statement 1: it is a parallelogram

Reason 1: if one pair of sides of a quadrilateral are parallel and congruent sides, then it is a parallelogram.

Statement 2: AB is parallel to CD

Reason 2: in a parallelogram opposite sides are parallel.

QED


Related Questions

(6.01 )which points on the scatterplot is an outlier point A point B point C point D

Answers

Answer: it’s point c

Step-by-step explanation:

Answer C

Answer:A

Step-by-step explanation:

you just told me but thanks for the points message me if you need more answers

A group of friends wants to go to the amusement park. They have no more than $555 to spend on parking and admission. Parking is $7.50, and tickets cost $39.50 per person, including tax. Which inequality can be used to determine p, the maximum number of people who can go to the amusement park?

Answers

Create an inequality and solve:

Findx.
Assume the middle line is a midsegment in the problems below:

HELPPPPPP

Answers

Answer:  x = 12

midsegment is 16 units long

bottom side is 32 units long

===============================================

Work Shown:

The midsegment 2x-8 is parallel to the bottom side 2x+8

The bottom side is twice as long compared to the midsegment (since the midsegment is half the length of the bottom side).

We can say

bottom side = 2*(midsegment)

2x+8 = 2*(2x-8)

2x+8 = 4x-16

2x-4x = -16-8

-2x = -24

x = -24/(-2)

x = 12

--------------------

Extra info:

Now that we know x, we can find the length of those segments

midsegment = 2x-8 = 2*12-8 = 24-8 = 16

bottom side = 2x+8 = 2*12+8 = 24+8 = 32

Note the bottom side (32) is exactly twice as long compared to the midsegment (16). This confirms we have the correct x value.

compare and contrast the difference between natural numbers and integers

Answers

Answer:

so natural numbers are numbers which of 1... to positive infinity

But when we talk about integers are both positive or negative numbers

either from -1 and above or +1 infinity and above

The sum of two consecutive odd integers is -56. What are the integers

Answers

Answer:

integers is -15+253-36sumn

Is RS perpendicular to DF? Select Yes or No for each statement. R (6, −2), S (−1, 8), D (−1, 11), and F (11 ,4) R (1, 3), S (4,7), D (3, 9), and F (15, 0) R (−5, −5), S (0, 2), D (8, 3), and F (1, 8)

Answers

I'll do the first one to get you started.  

Find the slope of the line between R (6,-2) and S (-1,8) to get

m = (y2-y1)/(x2-x1)

m = (8-(-2))/(-1-6)

m = (8+2)/(-1-6)

m = 10/(-7)

m = -10/7

The slope of line RS is -10/7

Next, we find the slope of line DF

m = (y2 - y1)/(x2 - x1)

m = (4-11)/(11-(-1))

m = (4-11)/(11+1)

m = -7/12

From here, we multiply the two slope values

(slope of RS)*(slope of DF) = (-10/7)*(-7/12)

(slope of RS)*(slope of DF) = (-10*(-7))/(7*12)

(slope of RS)*(slope of DF) = 10/12

(slope of RS)*(slope of DF) = 5/6

Because the result is not -1, this means we do not have perpendicular lines here. Any pair of perpendicular lines always has their slopes multiply to -1. This is assuming neither line is vertical.

I'll let you do the two other ones. Let me know what you get so I can check your work.

Valerie and her parents are going to her grandparents' house in Tennessee. It is a 3-hour drive. If they leave at 9:00 am and don't make any stops, what time will they be at Valerie's grandparents' house?

Answers

Answer:

it will be 12:00 when they get there

Answer:

12.00 pm

Step-by-step explanation:

3 hours after 9.00 am is 12.00 pm

thank you so much for you help​

Answers

Your welcome for the help

A number line is shown below. What point represents the approximation of 24 on the number JK L M line 1 + 2 N 3 5 6 7 8 9 10 Point Point K Point L Point M​

Answers

Answer:I don’t really know

Step-by-step explanation:

Yeah

Answer:

It is K.

Step-by-step explanation:

8 friends 5/8 over eight bags of chips . what fraction of the bag did each person eat assuming that each ate the same amount ​

Answers

Answer:

5/64

Step-by-step explanation:

1/8*5/8

Answer:

answer is B

5/64

Step-by-step explanation:

hope this helps!

Find the total surface area of this cuboid

Answers

Step-by-step explanation:

☄ [tex] \underline{ \underline{ \sf{Given}}}: [/tex]

Length ( l ) = 4 cmWidth ( w ) = 2 cmHeight ( h ) = 5 cm

☄ [tex] \underline{ \underline{ \sf{To \: find}}} : [/tex]

Total surface area of a cuboid

❅[tex] \underline{ \underline{ \text{Solution}}}:[/tex]

✑ [tex] \boxed{ \text{TSA = 2lw + 2lh + 2hw}}[/tex]

Plug the known values :

⟼ [tex] \sf{2 \times 4 \times 2 + 2 \times 4 \times 5 + 2 \times 5 \times 2}[/tex]

⟼ [tex] \sf{16 + 40 + 20}[/tex]

⟼ [tex] \boxed{\sf{76 \: {cm}}^{2} }[/tex]

[tex] \red{ \boxed{ \boxed{ \tt{⟿ \: Our \: final \: answer : 76 \: {cm}}^{2} }}}[/tex]

Hope I helped !♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

The difference of c and 30 times 6

Answers

Answer:

5

Step-by-step explanation:

5x6 =

30

Answer:

5

Step-by-step explanation:

30÷6=5.this answer =5

Find the smallest value of k such that the LCM of
k and 6 is 60

Answers

Answer: The smallest valuest value for k is 10, such that LCM of k and 6 is 60.

Step-by-step explanation:

We know that, LCM = Least common multiple.

For example : LACM of 12 and 60  is 60.

If LCM of k and 6 is 60.

i.e. the least common multiple of k and 6 is 60.

Since, 10 x 6 = 60.

The smallest valuest value for k should be 10, such that LCM of k and 6 is 60.

Hence, the smallest value of k is 10.

6785∆4 is a 6-digit number with one of its digit represented by ∆. What can be the value of ∆ if 6785∆4 is divisible by 9 ? pls anwer

Answers

Answer: The /\ is 6. The number is 6.

Explanation: 678564 ÷ 9 = 75396

To convert from 500 seconds to minutes you would use....
A. 1 second/60 minutes
B. 1 minute/60 seconds
C. 60 seconds/1 minute
D. 60 minutes/1 second

Answers

Answer:

B

Step-by-step explanation:

Elimination equation:
5x-6y= 6
2x+9y= 10

Answers

Step-by-step explanation:

it's close to 6

.................

Today everything at a store is on sale the store offers a 20% discount the discounted price of the hat is $18 what is the regular price (The answer is not 21.6)
The answer is 22.5 But I don’t know how to get there

Answers

80% = $18

(divide both sides by 80 to find 1%)

1% = 0.225

(multiply both sides by 100 to find 100%)

100% = $22.50

How do you solve 36-3(2-4x)=0

Answers

Answer:

X=0

Step-by-step explanation:

36-3(2-4x0)

33(-2x0)

33(0)

=0

The answer for X would be x=0

Pl help I will give you brain lies

Answers

Answer: if 2. It b if 3. It (6,-12)

Step-by-step explanation:

The ratio of adult dogs to puppies on monday was 3:2. There were 12 puppies there that day. Tuesday, 15 adult dogs were at the park. How many adult dogs were at the park on monday? What is the difference between the number of adult dogs at the park on monday and tuesday

Answers

Answer:

3

Step-by-step explanation:

The ratio of adult dog to puppies is 3:2

There were 12 puppies that day

Number of adult puppies can be calculated as follows

= 3/2× 12

= 3 ×6

= 18

There were 15 adult dogs in the park on Tuesday

Hence the difference can be calculated as follows

= 18-15

= 3

Afla cate procente reprezinta numarul a din numarul b daca a si b sunt invers proportionale cu numerele 12 si 15

Answers

Răspuns:

125%

Explicație pas cu pas:

a și B sunt invers proporționale cu numerele 12 și 15

Proporționalitate inversă:

a = k / y

Prin urmare ;

a = k / 12 - - - (1)

b = k / 15 - - - (2)

Procent care reprezintă a de la b

a = 100%

b = x

k / 12 = 1

k / 15 = x

Înmulțirea încrucișată:

x * k / 12 = k / 15

x = k / 12 ÷ k / 15

x = k / 12 * 15 / k

x = 15/12

x = 1,25

1,25 * 100% = 125%

Solve for x. y=x-20 ​

Answers

Answer:

x=y+20

Step-by-step explanation:

y=x-20

Swap sides so that all variable terms are on the left hand side.

x-20=y

Add 20 to both sides.

x=y+20

Answer:

x= y+20

Step-by-step explanation:

CAN SOMEONE HELP ME ASAP??? THANK YOU.

Answers

Answer:

D- two more than a number multipled by seven

Step-by-step explanation:

brainiest?

you have to do what the equation says to solve the equation! good luck!

A stamp gets more expensive each year. It increases in value by 60% each year what is the growth factor ?

Answers

Answer: Nancy spent $44.59 on 5.25 quarts of olive oil. What is the cost of one quart of olive oil? Round to the nearest cent.

$8.38 per quart

$8.49 per quart

$8.57 per quart

$8.92 per quart

Step-by-step explanation:

Answer:

365(1.6)^t

Step-by-step explanation:

the standard equation

Which of the following is the equation of the line that passes through the given point and has the given slope?

Answers

y=2x+4
Use point slope formula

A spinner is evenly divided into red, yellow, blue, green and orange sections. What is the probability of spinning a yellow?

Answer (round) to the hundredth place value.

Answers

The answer is 0.25 percent chance

Answer:

The probability of spinning a yellow is 0.20

Step-by-step explanation:

red= 20%

yellow= 20%

blue=20%

green=20%

orange=20%

20%=0.20

What is cos 60°?
60°
2
1
90°
30°
V3

Answers

Answer:

1/2. (0.5)

My apologies for no explanation, I just put it in my calculator.

PLEASE HELP I WILL GIVE 95 POINTS AND BRAINIEST PLEASEEEEEEEEE ✨✨✨✨
THIS IS ALL MY POINTS

Answers

Answer:

The ones 1 1/12, 1/12, 10 1/3, and 1 1/9, all go in the less than 10 1/2. And three numbers marked 10 1/2 go in the greater than 10 1/2

Step-by-step explanation:

Answer:

1 1/12*10 1/2 is greater than

1/12 *10 1/2 is smaller than

10 1/3* 10 1/2 is greater than

1 1/9* 10 1/2 is greater than

what is the value of c

Answers

Answer:

2c+2c+2c+2c+c=540(as sum of angles of pentagon)

9c=540

c=540/9

c=60

Step-by-step explanation:

If f'(x)=3x^2+2x and f(2)=3 then f(1)=
helppppp

Answers

Answer:

[tex]f(1)=-7[/tex]

Step-by-step explanation:

We are given the derivative:

[tex]f^\prime (x) = 3 x^2 + 2x[/tex]

And the initial condition that f(2)=3.

And we want to find f(1).

So, to find our original function f(x), we will find the antiderivative of f'(x). Hence:

[tex]\displaystyle f(x)=\int f^\prime(x)\, dx=\int3x^2+2x\, dx[/tex]

By integrating, we acquire:

[tex]f(x)=x^3+x^2+C[/tex]

Since we know that f(2)=3:

[tex]3=(2)^3+(2)^2+C[/tex]

It follows that:

[tex]C=-9[/tex]

Therefore, our function is given by:

[tex]f(x)=x^3+x^2-9[/tex]

Therefore:

[tex]f(1)=(1)^3+(1)^2-9 = -7[/tex]

Here we want to solve a differential equation, we will find that our function is f(x) = x^3 + x^2 -9

Solving the differential equation.

So we want to find f(x) such that we know f'(x).

We know that:

f'(x) = 3x^2 + 2x

To get f(x) we just need to integrate, we will get:

[tex]f(x) = \int\limits {3x^2 + 2x} \, dx = x^3 + x^2 + c[/tex]

Where c is a constant of integration.

Now, we know that f(2) = 3, with that we can find the value of c.

f(2) = 2^3 + 2^2 + c = 3

          8 +  4 + c = 3

          c = 3 - 12 = -9

So the function is:

f(x) = x^3 + x^2 -9

If you want to learn more about differential equations, you can read:

https://brainly.com/question/18760518

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