Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent show that quadrilateral ABCD is a parallelogram by finding the length of the opposite side pairs

Quadrilateral ABCD Is A Parallelogram If Both Pairs Of Opposite Sides Are Congruent Show That Quadrilateral

Answers

Answer 1

Answer:

D. 21, 14

Step-by-step explanation:

As the question said, a parallelogram is formed when both pairs of opposite sides are congruent. That means that 21 and 3y are equal, as are y + 7 and 2y.

21 = 3y

/3    /3

7 = y

y + 7 = 2y

-2y     -2y

-y + 7 = 0

   -  7  - 7

-y = -7

* -1  * -1

y = 7

In both instances, y = 7. Now let's substitute that.

21 = 3(7)

21 = 21 is true.

7 + 7 = 2(7)

14 = 14 is true.

With that, the lengths of the opposites sides are 21 & 14, which is D.


Related Questions

Use the following numbers, 4, 30, and 21 to create an equation equal to 1. You may only use each number once. You can use any operation you want to.

Answers

Answer:

sqrt(30-21)-sqrt(4)=1

Step-by-step explanation:

I found that sqrt(30-21)-sqrt(4)=1 since sqrt(30-21)=sqrt(9)=3 and sqrt(4)=2 so 3-2=1

Which is a diagonal through the interior of the cube?

AH
BE
CH
FG

Answers

AH is the answer

hope this helps

How long is the wire that supports the tree?
5.6 ft
3.3 ft

Answers

Answer:

6.5 ft

Step-by-step explanation:

You must use Pythagoras theorem, which is a² + b² = c², then square root c to get answer

if 5.6 = a and 3.3 = b

5.6²+3.3²=42.25(=c²)

42.25 = c²

square root both sides

6.5 = c

Answer:

6.5 ft.

Step-by-step explanation:

To find this you can use the Pythagorean Theorem. [tex]a^2+b^2=c^2[/tex]

[tex]5.6^2 + 3.3^2=C^2[/tex]

31.36+10.89=[tex]C^2[/tex]

42.25=[tex]C^2[/tex]

NOW you have to square root both sides of the equation

[tex]\sqrt{42.25} = \sqrt{C^2}[/tex]

You square root both sides so you can get ride of the exponent on C

So, your answer is 6.5=C

hope this helps :)

p.s. for further questions, [tex]c^2[/tex], is always the opposite side of the right angle.  :)

I need help ASAP please

Answers

Answer:

option 4= 12/13

Step-by-step explanation:

let us supooae <c is thetha

sin thitha = oppotise side/hyptotenuse

<C= AB/AC

<C=12/13

help Plz
If the slice of pizza below has an area of 18.86 cm?, what is the measure of the central angle to the nearest
degree?
8 cm

Answers

Answer:

Step-by-step explanation:

Help Plz

If the slice of pizza below has an area of 18.86 cm?, what is the measure of the central angle to the nearest

degree?

8 cm

can someone helppp!! i will guy brainlist if it’s right!

Answers

Answer: 12.75

Step-by-step explanation:

10.25+ .50(5)=12.75


through: (-5, 4), slope =-3/5

Answers

Answer:

y - 4 = (-3/5)(x + 5)

Step-by-step explanation:

Use the point-slope formula y - k = m(x - h)

Here, y - 4 = (-3/5)(x + 5)

i wish i knew this problem

what is the circumfrence of a circle with a radius of 4 inches. Use 3.14 for pi.

Answers

Answer:

25.12 in.

Step-by-step explanation:

Circumference formula: pi*2*radius

radius=4, so

3.14*2*4=25.12

Find the value of x. *
(x + 15)
106
(x-10)
(2x - 35)°

Answers

Answer:

m gc

Step-by-step explanation:

LOOKS EASY !! NO FILES/LINK THX

Answers

What is the question?

Can someone help me with this and explain it?

Answers

Answer:

4 pizzas

Step-by-step explanation:

Equation:

12x + 7 = 55

12x = 55 - 7

12x = 48

x = 4

Given that (-6,-6) is on the graph of f(x), find the corresponding point for the function f(2x).​

Answers

Answer: (-3,-6)

Step-by-step explanation:

Scavenger Hunt
heard F. Use your answer to card F. to find the next
A
12 - x - 2x = -12

Answers

Answer:

Hi! The answer to your question is [tex]x = 8[/tex]!

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!!

- Brooklynn Deka

Based on the given information, which of these are true? Choose ALL that are correct

Answers

Cos Y= e/f and Sin B= n/p

How many Terms are in the following expression: x−12÷(3∗2)

Answers

Answer:

4.

Step-by-step explanation:

Each term is separated by a symbol.

Terms can be: 4x, 0.5x, 3, 700, etc.

term 1: x

term 2: 12

term 3: 3

term 4: 2

Hope that helped <3

Find the slope of the line graphed below.

Answers

Given:

The graph of a line.

To find:

The slope of the graphed line.

Solution:

From the given graph it is clear that the line passes through the points (-2,2) and (2,5). So, the slope of the line is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{5-2}{2-(-2)}[/tex]

[tex]m=\dfrac{3}{2+2}[/tex]

[tex]m=\dfrac{3}{4}[/tex]

Therefore, the slope of the given graphed line is [tex]m=\dfrac{3}{4}[/tex].

Please help me ASAP!!!

See pic attached

Answers

Answer:a*b=b*a

hence verified

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

Answers

Answer:

B. Larger groups tended to take less time to solve the puzzle

Step-by-step explanation:

If you look at the graph, you can see that farther to the left the dots are higher, which means that the number of people are taking longer than the people to the right of the graph whose dots are lower, representing that it takes less time for the larger groups to solve the puzzle.

hope this helps youu

What is the area of the shaded segment shown? Round your answer to the nearest tenth.

Answers

Answer:

180

Step-by-step explanation:

A rectangular ballroom is being carpeted. The room measures 30 feet by 25 feet. If the carpet costs $3.00 per square foot, then what is the cost of the carpet?

Answers

Answer:

$2250

Step-by-step explanation:

30 x 25 = 750 -> area

750 x 3= 2250

Math help help please

Answers

Answer is 5,004,300

Answer:

5,000,000+4,000+300=5,004,300

Step-by-step explanation:

hope this helps

Sharon skated for 6 2/3 hours last month and 2 2/3 hours this month. How many hours did Sharon skate in all?

Answers

Answer:

9 1/3

Step-by-step explanation:

6 2/3 + 2 2/3 = ?

6 + 2 = 8

2/3 + 2/3 = 4/3 = 1 1/3

8 + 1 1/3 = 9 1/3

Sharon skated for 9 1/3 hours.

Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Jason helped his dad put plastic and aluminum items into the recycling container. The container is a large cube with a length, width, and height of 6 feet. What is the volume of the recycling container?

Answers

Answer:

its 216 cubic feet.

Step-by-step explanation:

6x6x6 is 216

During the day, Lola's dog is tied by rope to a tree in the center of her yard. The scale drawing below shows the area that the dog has to run, in inches. If the actual length of the rope is 11 2/3 feet, what is the scale used in the drawing?

Answers

Answer:

5 /448

Step-by-step explanation:

Radius in drawing = 1 9/16 in

The actual length of rope = 11 2/3 feets

Converting actual length to inches :

1 feet = 12 inches

11 2/3 feets = (11 2/3) * 12 = 140 inches

To obtain the scale used, we divide the Radius in the drawing by the actual length :

1 9/16 ÷ 140

25 /16 ÷ 140

25 /16 * 1 /140

= 25 / 2240

= 5 /448

Hence, scale is 5 /448 times the actual length of drawing

Hence :

The scale used is :

1 feet = 7.4666 inches

Answer:

5/488

Step-by-step explanation:

Please helpppppp will give brainliest!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

When multiplying a number with the same base, you will add the exponent values

8 +3 = 11

Answer:

8.8²⁴

Step-by-step explanation:

8.8 ⁸׳= 24 so hence 8.8²⁴ is the answer

Determine the intercepts of the line?

Answers

Answer:

x-intercept: (-7.5 , 0)   y-intercept: (0 , 5.5)

Step-by-step explanation:

Help Me Please
The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.

What is the value of x?

Answers

Answer:

x = 59

Step-by-step explanation:

combine all four angle measure expressions and set equal to 360°, then solve

x + x + 2x + 3 + 2x + 3 = 360

6x + 6 = 360

6x = 354

x = 59

prove that underroot 3-underroot 5 is irrational.​
Please quickly I need this answer

Answers

Answer:

See Explanation

Step-by-step explanation:

Let us assume that [tex] \sqrt 3 - \sqrt 5[/tex] is a rational number.

So, it can be expressed in the form of [tex] \frac{p}{q} [/tex] where p and q are integers.

[tex]\therefore \sqrt 3 - \sqrt 5=\frac{p}{q}[/tex]

[tex]\therefore \sqrt 3 =\frac{p}{q}+ \sqrt 5[/tex]

[tex]\therefore \sqrt 3 =\frac{p+q\sqrt 5}{q}[/tex]

Squaring both sides:

[tex] (\sqrt 3) ^2 =\bigg(\frac{p+q\sqrt 5}{q}\bigg ) ^2 [/tex]

[tex]\therefore 3 =\frac{p^2 +5q^2 +2\sqrt 5 pq}{q^2 } [/tex]

[tex]\therefore 3q^2 ={p^2 +5q^2 +2\sqrt 5 pq}[/tex]

[tex]\therefore 0 = p^2 +5q^2 -3q^2 +2\sqrt 5 pq [/tex]

[tex]\therefore - 2\sqrt 5 pq=p^2 +2q^2 [/tex]

[tex]\therefore \sqrt 5 = \bigg (\frac{p^2 +2q^2}{-2pq} \bigg) [/tex]

[tex]\therefore \sqrt 5 = - \bigg(\frac{p^2 +2q^2}{2pq} \bigg) [/tex]

Since, p and q are integers so [tex] - \bigg(\frac{p^2 +2q^2}{2pq} \bigg) [/tex] is rational.

[tex]\therefore \sqrt 5 [/tex] is also rational.

But it contradicts the fact that [tex]\sqrt 5 [/tex] is irrational.

Hence, our assumption that [tex] \sqrt 3 - \sqrt 5[/tex] is rational is wrong.

[tex] \therefore \sqrt 3 - \sqrt 5[/tex] is irrational.

Emerson swims 1/2 a miles every 1/4 of an hour. How far can she swim in one hour?

(Complex fractions)

Answers

Answer:

he swims 1/2 miles in 1/4 hours

multiply both them by 4

we get

2 miles in 1 hour

2 miles in one hour

F (x)= 3x +4 , find f (2)

Answers

Answer:

10

Step-by-step explanation:

First substitute x for 2

3(2) + 4

6+4

10  When x is 2 f = 10

Other Questions
(ASAP I HAVE 20 MINS LEFT) The surface area of the rectangular prism is _____in2 and the volume is ____in3 Find the area of the composite figure. Show your work. What is the area of the figure? Write the equation of the line in slope-intercept form Is it possible to make up for missed sleep on the weekends? Dr. Daniel Cohen investigated this prevalent belief by disrupting the circadian rhythms of a group of volunteers. Participants remained conscious for 33-hour stretchesequivalent to staying awake all nightand then slept for 10 hours. While the volunteers were awake, Cohen periodically tested their mental and motor skills. The sleep-deprived volunteers scored fairly well soon after waking, but as the hours wore on, the participants' ability to think clearly, as well as their reaction times, steadily worsened. The study implies that the chronically sleep-deprived may function normally for a short time but inevitably slow down, even if they attempt to catch up on their sleep.The volunteers' performance eventually _________.Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selectedA acceleratedB deterioratedC stabilizedD intensified PLEASEE HELP ME I AM GIVING AWAY ALL MY POINTS FOR THIS JUST PLEASE ANSWER ALL 4 WITH WORK!!!!!! In your own words! Give me an example of Digital Literacy? (50 wordsNo links or I will report!!!!!!! (TCO 3) Below is the frequency response of the IIR realization of an analog band-pass filter. What type of filter is this? Which phrase best completes this message, which appears when your webpage is loading? __________________! Chargement en cours. a rectangular prism and its dimensions are shown in the diagram.what is the total surface area of this prism in square inches? DUE IN 30 MINTUES!!!!!PLEASEEE HELP!!!You need to purchase supplies for the trip. You have $1000 to spend. Oxen: $40 eachFood: $0.20 per lbClothing: $10 per set.Matt also charges 9% taxPurchase at least 2 oxen, 500lbs of food, and 5 sets of clothing. You may want to purchase more.Select the amount of items and find the total cost including tax the ranas maintained relationship mainly with britainbefore 2007 bs.what might be the reason? How does Beowulf plan to finish the fight with grendels mother? Define what coal is, explain how it forms, and what it isused for today how many months are in 59 days??? What is the approximate length of the United States border with Canada? o 2,500 miles O 4,500 miles O 5,500 miles O 3,500 miles what is the value of 4/152/3 Grades on a science test are shown in the box plot below.Find the correct data that the box plot represents.A) 78, 81, 89, 75, 76, 91, 100, 63, 80, 87, 91, 95B) 55, 81, 89, 75, 76, 91, 100, 63, 80, 87, 91, 95C) 78, 81, 45, 75, 76, 91, 100, 63, 80, 87, 91, 95D) 78, 81, 89, 75, 76, 91, 100, 63, 80, 87, 91, 110 Can someone please help me I will mark u brilliant Jensen recorded the daily average temperature (in degrees Fahrenheit) at his home over two weeks' time. His results are shown below. 48, 56, 63, 67, 58, 60, 63, 72, 69, 59, 63, 68, 73, 64. What was the range of the temperatures? __________ degrees Fahrenheit Last month, Maria purchased a new cell phone for $500. The store manager told her that her new cell phone would depreciate by 70% every 6 months. Maria thinks she will want to replace her phone after a while. What will be the value (V) of her phone if she tries to trade it in after 2 years? Select all that apply.