Which of the following are necessary when proving that the opposite sides of a parallelogram are congruent? Check all that apply.

1. Opposite sides are perpendicular.

2. Opposite sides are parallel.

3. Alternate interior angles are supplementary.

4. Alternate interior angles are congruent.​

Answers

Answer 1

Answer: b and d are it

Answer 2

Answer: 2 and 4

2-Opposite sides are parallel.

4-Alternate interior angles are congruent.


Related Questions

what is the slope of the linear table below?

Answers

Answer:

A. 2/3

Step-by-step explanation:

Plot the points, so you visualize rise/run.

When you start at the point (-3,8) it rises 2 then moves 3 to the right to get to the point (0,10). Then it rises 2 and moves 3 to the right to the point (3,12).

can you help me with it please​

Answers

Answer:

[tex] \frac{20}{29}[/tex]

Step-by-step explanation:

Equation of unit circle is:

[tex] x^2 + y^2 = 1[/tex]

Plug [tex] y = \frac{-21}{29}[/tex] in above equation.

[tex] x^2 + \bigg( \frac{-21}{29}\bigg)^2 = 1\\\\

x^2 + \frac{441}{841} = 1\\\\

x^2 = 1-\frac{441}{841}\\\\

x^2 = \frac{841-441}{841}\\\\

x^2 = \frac{400}{841}\\\\

x =\pm\sqrt{ \frac{400}{841}}\\\\

x =\pm\frac{20}{29}\\\\

[/tex]

Since, point P is in the fourth quadrant.

Therefore, x - coordinate should be positive.

[tex] \huge \red {\boxed {\therefore x =\frac{20}{29}}} \\\\

[/tex]

On a 1 mile track, Runner A has made 6 laps in the time it took runner B to make 2 laps. If Runner A is running 8 mph faster than Runner B, how fast is each of them running?

Answers

9514 1404 393

Answer:

A: 12 mphB: 4 mph

Step-by-step explanation:

The ratio of speeds is ...

  A speed : B speed = 6 : 2

The difference is 6-2 = 4 ratio units, which corresponds to a difference of 8 mph. Then each ratio unit stands for 8/4 = 2 mph.

The ratio of speeds is then ...

  A speed : B speed = 6 : 2 = 12 mph : 4 mph

Runner A is running 12 mph; runner B is running 4 mph.

Jimmy, Johny and Jolly went to the market to buy some presents for Secret Santa celebration at school. Three of them together spent $560. If Johny spent twice as much Jolly did and Jimmy spent $30 less than Johny did, how much did each of them spend?

Answers

Answer:

Step-by-step explanation:

I think they both spend 300$

Sue and Kim loved their skittles! Before throwing the bag away, Kim noticed that there were 160 calories for 40 grams of Skittles. Using the ratio table below.help Kim determine the number of calories for 80 grams of Slides​

Answers

Answer:

320 calories

Step-by-step explanation:

Ratios.

let's say calories= c

grams = g

160c:40g

?      :80g

So if you look at the grams, you see an increase by *2.

so the get: ?

you need to multiply 160 by 2.

Convert 01100111 from binary to hexadecimal.

Answers

Answer: 67

Step-by-step explanation: 128+64+32+16+8+4+2+1

                                                =0 + 1 + 1  + 0 + 0+1+1+1

                                                  =67

18. Which product is greater. (-4)-(-6) or
(-7).(-8)? Explain.

Answers

Answer:

So when u do (-4)-(-6) it equals 2.

But when u do (-7)*(-8) it equals 56

Therefore saying that (-7)*(-8)=56 is the greatest product.

Step-by-step explanation:


1. Find the value of k.
A. 17
B. 73
C. 118
D. 107

Answers

A i’m pretty sure 62-45

Answer:

Its B

Step-by-step explanation:

you have to add 45 and 62 to get 107 and then subtract 107 from 180

Hope this helps

pls mark brainliest

if a man spend 1/5 on food a
nd 1/3 on car and his left with #286.how much is his income​

Answers

Answer:

Step-by-step explanation:

Let income=X

Given he spend 1/5of his income on food.=X/5

He spend 1/3 of his income on car=X/3

Left with=286

So

x-(X/5+X/3)=286

x-8x/15=286

7x/15=286

X=286×15/7

X=612.85

His income is 612.85.

Does -3 and -2 make a right triangle

Answers

Answer:

There is no such thing as negative distances. In order to do Pythagoras theorem you need to know which one is the hypotenuse

Answer: no



Explain: you can’t make a right triangle with negative numbers. Plz mark brainlest

There are 207 students in 9 classes at east middle school at this rate how many students are in 6 classes

Answers

Answer:

138 students

Step-by-step explanation:

207/9 = 23

23*6=138

Answer:

138 students

Step-by-step explanation:

Plz help due tomorrow plz hurry

Answers

Answer:

(4,-3)

Step-by-step explanation:

Answer to this question is c

At midnight the temperature was ➖ 5 degrees Celsius. At noon, the temperature was 19 degrees Celsius. Which expression represents the change in temperature?

Answers

Answer:

cold and hot Is the answer

The length of a car is 18 ft and the width is 7ft.
If a model of a car is 9 in long, how wide is it?

Answers

Answer:

3.5 inches

Step-by-step explanation:

9 = 18 divided by 2

7divided by 2 = 3.5

Answer:

is 27  for the width and for how long is 9+9=18

Step-by-step explanation:

Nikki gathered data about the length of time she spent listening to the radio and the number of commercials she heard. She organized the data in a scatter plot, where x represents the minutes spent listening and y represents the number of commercials. Then she used the graphing tool to find the equation of the line of best fit:

y = 0.338x − 1.387.

Based on the line of best fit, for approximately how many minutes will Nikki need to listen to the radio to hear 20 commercials?

A. 10
B. 55
C. 63
D. 72

Answers

Answer:

C. 63

Step-by-step explanation:

which expression is equivalent to 4x^2+(5x-7x^2)-4-(3x+5)

Answers

Answer:

[tex]-3x^{2} + 2x - 9[/tex]  

I hope this helps!

Based on a sample survey, a grocery store employee states that 5 out of 14 shoppers buy wheat cereal. If there are 1,400 shoppers in one day, how many do NOT buy wheat cereal?

Answers

Answer:

9,000 shoppers

Step-by-step explanation:

14,000÷14=1,000 1,000×5=5,000 14,000-5,000=9,000

Mr. Scruggs is going to donate $60 to the local animal shelter. If that $60 is 4/15
of the total amount of money he received for his birthday, how much money
did he receive in all?

Answers

16$, each ratio is 1:4 so every 1/15 is 4$ which would mean your final equation is 4x4=16

Is 319,459 divisible by 2?
yes
no
Submit

Answers

Answer:

no

Step-by-step explanation:

319,459 is not an even number

HURRY PLEASE HELP!!!!!!

the answer choices are
A. 55
B. 40
C. 60

Answers

Answer:

A. 55

Step-by-step explanation:

hope this helps have a good day :)

can someone help me with this and can someone tell me what operation it is

Answers

Answer:

12.78

Step-by-step explanation:

63.65 divided by 5 = 12.7

Answer:

Equation:63.65÷5=12.73

A)$12.73

Step-by-step explanation:

Division is this symbol ÷

Your problem directly states to divide the amount in money by the amount of children

Three letters are randomly chosen from PROBABILITY. What is the probability that two of the three letters are the same?

Answers

Answer:

1 out of 25 letters question

The scores for all high school seniors taking the verbal section of the Scholastic Aptitude Test (SAT) in a particular year had a mean of 490 and a standard deviation of 100. The distribution of SAT scores is bell-shaped.

What percentage of seniors scored between 390 and 590 on this SAT test?

Answers

Answer:

The value is  [tex]P( 390 < X < 590) = 68.3 \%[/tex]    

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu = 490[/tex]

    The standard deviation is  [tex]\sigma = 100[/tex]

   

Generally the proportion of seniors scored between 390 and 590 on this SAT test is mathematically represented as

     [tex]P( 390 < X < 590) = P( \frac{390 - 490 }{100} < \frac{\= x - \mu }{\sigma} < \frac{590 - 490 }{ 100} )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

    [tex]P( 390 < X < 590) = P( -1 < Z < 1 )[/tex]

=>  [tex]P( 390 < X < 590) = P(Z< 1 ) - P(Z < - 1 )[/tex]

From the z table  the area under the normal curve to the left corresponding to  1 and  -1  is  

[tex]P(Z< 1 ) = 0.84134[/tex]

and

[tex]P(Z< - 1 ) = 0.15866[/tex]  

   [tex]P( 390 < X < 590) =0.84134 - 0.15866[/tex]

=> [tex]P( 390 < X < 590) = 0.6827[/tex]

Generally the percentage of seniors scored between 390 and 590 on this SAT test is mathematically represented as

=> [tex]P( 390 < X < 590) = 0.6827 *100[/tex]    

=> [tex]P( 390 < X < 590) = 68.3 \%[/tex]    

Identify the expression which represents the calculation “subtract 3 from 15, then divided by 6

Answers

Answer:

[tex]\frac{15-3}{6}[/tex]

Step-by-step explanation:

You would start by writing the expression for “subtract 3 from 15", which would be [tex]\frac{15-3}{6}[/tex], then you would add on "then divided by 6", which would make it

Answer:

Step-by-step explanation:

15-3/6

15-3 over 6

12/6

2

Find all whole numbers m such that m and 5m+1 are prime numbers.

Answers

Answer:

2 only

Step-by-step explanation:

Only even PRIME number is 2.

Why do we need EVEN PRIME numbers?

Say we do 11*5 we get 55 but when we add one we get 56

Meaning: An odd number multiplied by an odd number plus an odd number equals EVEN number which isn't PRIME. 2 being the ONLY even prime is therefore the only number we can choose.

What is the slope and y-intercept of the equation 3(y-2) + 6(x+1) - 2 = 0?

Answers

Answer:y

y=−2x+2/3

SLOPE:-2

Y-INTERCEPT:2/3

Step-by-step explanation:

I will give brainliest :)

Last weekend Joe bought a magazine for $6 and some
notebooks for $3 each. You spent a total of $18. If the
equation 3x + 6 = 18 represents this situation, what does
the x variable represent?


•the coast of magazines
•the number of magazines
•the number of notebooks
•the cost of notebooks

Answers

Answer:

The number of notebooks

Simplify the fraction 36/8

Answers

Answer:

4 4/8

Step-by-step explanation:

36 can go into 8, 4 times. With 4 left over so the answer is 4 4/8.

Answer:

[tex]4\frac{1}{2}[/tex]

Step-by-step explanation:

Liam had a container of oatmeal that contained 5 and one-half cups of oatmeal. Liam ate StartFraction 4 over 9 EndFraction cup of oatmeal every morning before school for a week. Which is the best estimate of the number of cups of oatmeal that Liam had left in the container at the end of the five-day week?
2 and one-half
3
3 and one-half
5

Answers

3 and two half I hope you get a good answer

Answer:

3

Step-by-step explanation:

find slope please help I’ll mark brainliest

Answers

slope=0
explanation: its a straight line and therefore means no slope
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