State which theorem you can use to show that the quadrilateral is a parallelogram.

Answers

Answer 1

Answer:

We can use the theorem ''Parallelogram Diagonals Converse'' to show that the quadrilateral is a parallelogram.

Step-by-step explanation:

We know that the diagonals of any parallelogram bisect each other, each diagonal cutting the other into two equal parts.

In other words, according to Parallelogram Diagonals Theorem Converse, the figure will be a parallelogram if the diagonals of the quadrilateral figure cut (bisect) each other. It is basically the

From the given Parallelogram, it is clear that the diagonals bisect each other, each diagonal cutting the other into two equal parts with the length 3 units.

Therefore, we can use the theorem ''Parallelogram Diagonals Converse'' to show that the quadrilateral is a parallelogram.

Related Questions

HELP!! ASAP!!
Brody drew a scale drawing of a campsite. He used the scale 1 inch : 3 feet. If the actual width of the tent is 6 feet, how wide is the tent in the drawing?

Answers

Answer:

the drawing would be 2 inches

Step-by-step explanation:

WILL GIVE BRAINLIEST ! A marble is picked at random.Without putting the first marble back,a second marble is picked at random find the probability that the fist marble picked is green and the second marble is picked red write your result as a percentage

Answers

Step-by-step explanation:

The percentage is 1/2 * 2/5 = 1/5 = 20%.

The probability that the first marble picked is green, and the second marble is picked red is 20%

What is probability?

A probability is a number that reflects the chance or likelihood that a particular event will occur.

Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Given that, there are six marbles in total, 3 are green, 2 are red and one is brown,

we need to find the probability that the first marble picked is green, and the second marble is picked red,

So, P(E) = favorable outcome / total outcome

Therefore, the probability that the first marble picked is green, and the second marble is picked red = 3/6 x 2/5 = 6/30 = 1/5 = 20%

Hence, the probability that the first marble picked is green, and the second marble is picked red is 20%

Learn more about probability click;

https://brainly.com/question/30034780

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Marie has 11 coins, all of which are quarters and nickels. In all, they're worth $1.15. How many of each kind of coin does Marie have?

Answers

Answer:

Step-by-step explanation:

x + y = 11

.25x + .05y = 1.15

25x + 5y = 115

-25x - 25y = -275

-20y = -160

y = 8 nickels

x + 8= 11

x = 3 quarters

3 quarters and 8 nickels

Write an equation of the line with a slope of 3 and a y-intercept of -7.

Answers

y=mx+b. m is the slope and b is the y intercept, which means the equation would be y=3x-7

Answer:

y=3x-7

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

y=3x-7

In a bag of keys, there are 14 silver keys, 7 black keys, 10 copper keys, and 4 painted keys of various colors. One key is drawn out
at random. What is the probability that the key that is drawn is silver or copper?

Answers

Answer:

D. 24/35

Step-by-step explanation:

Step one:

Given

Sample space

14 silver keys,

7 black keys,

10 copper keys, and

4 painted keys of various colors

Sample size= 14+7+10+4= 35

in probability "or" means that we need to add events.

Hence, the probability that the key that is drawn is silver

= 14/35

the probability that the key that is drawn is copper

=10/35

Step two:

The probability that the key that is drawn is silver or copper

14/35+10/35

=14+10/35

24/35

If ∠1 ≅ ∠2 ≅ ∠3, ∠4 ≅ ∠5, and m∠4 = m∠3 + 10°, What is m∠5?

Answers

Answer: 60° is the right answer

Step-by-step explanation:

Write an algebraic equation that relates the Profit to the Number of T-Shirts Sold. Use n to represent T-Shirts and p to represent the Profit.

Answers

Answer:

y= 3x -5

Step-by-step explanation:

since when x is 0, and y is -5, you know that the y intercept is -5.

look at the table

1x -5 = -2

x= 3

Boom.

LONG LIVE KOREA!

I have $5 I want to get 2 things of beads to get one package it is $2.85 would I have enough to buy 2 packages of beads?

Answers

No because 2.85 x 2 is $5.70

A family eats at a restaurant. The bill is $42. The family leaves a tip and spends $49.77.
How much was the tip in dollars?
How much was the tip as a percentage of the bill?
Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

How much was the tip in dollars? $7.77

How much was the tip as a percentage of the bill? 18.5%

f(-2) =-2x+11

Evaluate the function

Answers

Happy Holidays!

[tex]\large\boxed{f(-2) = 15}[/tex]

f(x) = -2x + 11

Find f(-2) by substituting in -2 for x:

f(-2) = -2(-2) + 11

Simplify:

f(-2) = 4 + 11

f(-2) = 15

A store donated cases of crayons to a daycare center. Each case holds 24 boxes of crayons; each box holds 8 crayons. How many crayons did the center receive?

Answers

Answer:

192

Step-by-step explanation:

Just multiply 24 by 8.

I think thats it tho.

Answer:

I think its 192

Step-by-step explanation:

you just do 24 times 8

Marco need to buy some dog food at the nearest store six bags of dog food cost $25.50 how much would Marcos bag of five bags of dog food

Answers

Answer:

Five bags of dog food costs $21.25.

Step-by-step explanation:

We can solve using proportions.

[tex] \frac{6 \: bags}{25.50 \: dollars} = \frac{5 \: bags}{x} \\ \\ \frac{127.5}{6} = \frac{6x}{6} \\ \\ 21.25 = x \\ 21.25 \: dollars = x[/tex]

Hurry I need help help

Answers

Step-by-step explanation:

C. This system is consistent. It has one solution.

particularly in algebra, a linear or nonlinear system of equations is called consistent

The third one I think is the answer I’m 80% sure

Which equation best represents the data shown in the scatter plot below?

Answers

Answer:

y=3/2x+3

Step-by-step explanation:

Answer:

y=3/2x+3

Step-by-step explanation:

15 3/8+756-
What is the answer

Answers

Answer: 771 3/8

Step-by-step explanation:

15 3/8+756

we can apply the assosiative propery and do 15+756+3/8

so 15+756= 771

so finally you do 771+3/8=771 3/8

A rectangular pool is 30 1/3 feet long and 12 1/2 feet wide. what is the area of the pool?

Note the 30 and 12 is a whole number

Answers

Answer:

381.25 or 381 1/4 feet

Step-by-step explanation:

Area is a rectangle is length times width. so,

30.5*12.5 = 381.25

If g(x) = 3(x − 2), find the value of x if g(x) = 6.
A. 12
B. 2.6
C. 8
D. 4

Answers

6 = 3(x - 2)
6 = 3x - 6
3x = 12, x = 4
Solution: D

Blake burns 4 1 2calories in 2 3of a minute riding his bike. What is Blake’s unit rate?

Answers

Answer:

(4 1/2) / (2/3) =

(9/2) / (2/3) =

9/2 * 3/2 =

27/4 =

6 3/4 (or 6.75) calories per minute

Step-by-step explanation:

Bruce used a $20 to pay for a movie ticket for $7.50, popcorn for $3.95,and a drink for $2.25 1.How much money did Bruce spend in all? 2. How much change did he get back?

Answers

Answer:

1. $13.7

2. $6.3

Step-by-step explanation:

Bruce used a $20 to pay for a movie ticket for $7.50, popcorn for $3.95,and a drink for $2.25

1. How much money did Bruce spend in all?

$7.50 + $3.95 + $2.25

=$13.7

2. How much change did he get back?

= $20 - $13.7

= $6.3

The ratio of North American butterflies to South American butterflies at a butterfly park is 6:2. What is the ratio of North American butterflies to ALL butterflies?

Answers

Answer:

6:8

Step-by-step explanation:

From the above question, we are told that:

The ratio of North American butterflies to South American butterflies at a butterfly park is 6:2.

The sum of the proportion = 6 + 2 = 8

The ratio of North American butterflies to ALL butterflies is given as :

6 : 8

what is x − 2 y − 2 = 0 in slope intercepct form?

Answers

Answer:

y=1/2x-1

Step-by-step explanation:

hope this helps

The local high school is hosting the last soccer game. They charged adults, x, $5 to enter, and $3 for students, y. It cost the school $300 to pay the referees for the game. The school wants to make a profit on the game, and 75 people attended. This is represented by the system:
5x+3y>300
x+y=75
Which of the following points is a solution to the system?
a. (25,70)
b. (30,45)
c. (20,15)
d. (40,35)

Answers

Answer:

Step-by-step explanation:

5*30+3*45>300

150+135

30+45=75

Answer:

Step-by-step explanation:

30, 45

Simplify the ratio

30:42

• 5/7

•30/42

• 30 to 42

•7/5

Answers

5/7 is gonna be your answer

after allowing 30% discount on the marked price of an article,there is a profit of 10% . if the cost price is 1500 find the marked price

Answers

Answer:

2357.14

Step-by-step explanation:

x - .30x = 1500(1.10)

.7x = 1650

x = 2357.14

parallel ,perpendicular, neither y=4x+5 and -4x +y=-13

Answers

Answer:

here,

slope of line y=4x+5(m1)=-a/b

slope of line -4x+y=-13(m2)=-a/b

here m1=m2 so,these are parallel to each other.

which mathematical property is shown here
8+-8=0
1 distributive property
2 inverse property
3 identity property of addition

Answers

Inverse property of addition

Find the value of r so the line that passes through the pair of points (-4, 8) and (r, 12) has the slope 4/3
.

Answers

Answer:

-1

Step-by-step explanation:

4 / (4/3) gives us three, which when added to -4 results in -1

A truck traveling 45 miles per hour and a train traveling 60 miles per hour cover the same distance. The truck travels 2 hours longer than the train. How many hours does each travel? What equation would represent the total distance traveled by both the train and the truck? [Hint: Remember the distance traveled formula d = rt.]

Answers

Answer:

6-hours

D = C + T

Step-by-step explanation:

The following equations represent the total distance travelled by each vehicle, the truck (C) and the Train (T) where x is the amount of time travelling in hours...

C = 45x

T = 60x

Since the truck traveled 2 hours longer than the train we can add this value to the variable x in the truck's distance equation and then make both equations equal one another to calculate the number of hours before they cover the same distance...

45(x+2) = 60x ... distribute 45 evenly

45x + 90 = 60x ... subtract 45x from both sides

90 = 15x ... divide both sides by 15

6 = x

Finally, we can see that both vehicles would have traveled the same distance at the 6-hour mark. Now to calculate the total distance traveled (D) we can use the following equation...

D = C + T

if f(x)= 6^2 and g(x)=3 +6(x). What is f(2)

Answers

Answer:

I,dont know but use M A T H W A Y it will explain with all the stepp by step and answere

Step-by-step explanation:

if 1 case of 500 20oz. cups cost 48.38 how much does one cup cost (show all work)

Answers

Answer:

Step-by-step explanation:

if 500 cups costs 48.38

than one cup will cost

48.38/500=0.096 cents per cup

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