Mathematics College

100 Points! Geometry question. Photo attached. Determine whether the quadrilateral is a parallelogram. Justify your answer using a theorem. Please show as much work as possible. Thank you!

Answers

Answer 1

The prove of the statement is described below.

First of all ,

Labeling the given figure

And draw a diagonal,

In the quadrilateral PQRS,

The side PQ is equal to the side RS.

Therefore,

PQ = RS

And also, the side PQ is parallel to the side RS.

Then,

PQ || RS.

Now, draw the diagonal PR.

We know that a parallelogram's diagonal divides the parallelogram into two congruent triangles.

By the rule of Side-Angle-Side,

we can show that ∆ PQR ≅ ∆ RSP.

Therefore,

The side QR is parallel to PS

Then,

QR || PS.

Hence,

PQRS is a parallelogram.

To learn more about quadrilaterals visit:

https://brainly.com/question/11037270

#SPJ1

Related Questions

aid 100% more than b . Which of these shows the ratio a:b ? . A is 100:1 , B is 1:100, Cis 2:1 and D is 1:2

Answers

Answer:

a:b = 100:1

Step-by-step explanation:

Given:

a is 100% more than b

Find:

a:b

Computation:

Assume;

Common multiply = p

So,

b = p

a = 100P

a:b = 100p : p

a:b = 100:1

3(n – 1) = 6
How do I solve this equation?

Answers

Answer:

n=3

Step-by-step explanation:

distribute, then add 3 to both sides, then divide both sides by 3

Answer:

n = 3

Step-by-step explanation:

3(n−1)=6

Step 1: Simplify both sides of the equation.

3(n−1)=6

(3)(n)+(3)(−1)=6(Distribute)

3n+−3=6

3n−3=6

Step 2: Add 3 to both sides.

3n−3+3=6+3

3n=9

Step 3: Divide both sides by 3.

3n/3 = 9/3\

n= 3

SHOW YOUR WORK/SHOW HOW YOU GOT YOUR ANSWER
Ella has $35 in her bank account. She deposited a check for $140 and then withdrew $80. How much money is left in her bank account?

Answers

Add 35 to 140 and then subtract 80 equals $95
35 +140=170 -80
$95

Ali spent a total of $65 at the grocery store. Of this amount, he spent $39 on fruit. What percentage of the total did he spend on fruit?

Answers

Answer:

He spent 60% on fruit

Step-by-step explanation:

Answer:

Step-by-step explanation:

65-39=26

26/100=0.26

Write 1.653 x 10-4 as an ordinary number.

Answers

Answer:

Here is the work ive done here, im a professional so i want to make it very easy for you to understand! Here is the answer: https://youtu.be/dQw4w9WgXcQ

Answer:

16530

Step-by-step explanation:

It is the answer..

A decreased by 20% and then increased by 20% express using algebra
asapppppp

Answers

Answer:

96%

Step-by-step explanation:

assume the whole number is x

the first thing is decreasing by 20 %

x - 20%x = 80% x

then now the 80%x is the whole number

now It's the turn of increasing

80%x + 20% * (80% x) = 80%x + 16%x = 96% x

I hope this is hlepful to you !!!!

Feel free to ask me in the comments

Find the area of a rectangle with a length of
14 ft and width of 28 ft.

Answers

Answer:

392 ft^2

Step-by-step explanation:

area = length * width

a = lw

392 = 14 * 28

Don't forget the unit is ft^2 since we are finding the area of a 2-dimensional shape in feet!

Answer:

Step-by-step explanation:

the area of a rectangle is L*W

A=14*28=392 ft^2

There are 15 books on a shelf. 9 of these books are new. The rest of them are used.

Answers

Answer: 7

Step-by-step explanation:

15-9 =

9 10 11 12 13 14 15

1 2 3 4 5 6 7

7 books were used.

Tell whether the ordered pair is a solution to the system of linear equations. 1 point
(-4,-2);
y = 2.c + 6
y = -32 – 14
Yes
No
O Maybe

Answers

Answer:

Yes

(-4,-2) is a solution of a given system of equation

Step-by-step explanation:

Explanation:-

Given that the equation

y = 2 x + 6 ..(i)

Given point (-4,-2)

substitute x =-4 and y = -2 in equation (i)

-2 =2(-4) +6

-2 = -8+6

-2 =-2

∴ The point satisfies the given equation

Please answer fast I need the Answer

Answers

Answer:

just do it urself

Step-by-step explanation:

find the value of x??

Answers

Answer:

[tex]\huge\boxed{x=10}[/tex]

Step-by-step explanation:

Look at the picture.

[tex]\dfrac{3x}{y}=\dfrac{4x+20}{2y}\qquad|\text{cross multiply}\\\\(3x)(2y)=(y)(4x+20)\qquad|\text{divide both sides by}\ y\\\\(3x)(2)=4x+20\\\\6x=4x+20\qquad|\text{subtract}\ 4x\ \text{from both sides}\\\\6x-4x=4x-4x+20\\\\2x=20\qquad|\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{20}{2}\\\\x=10[/tex]

thank u it really helped

Answers

Answer:

who are you thanking? Lol

Step-by-step explanation:

Find the greatest common factor of 7x and 4x?.

Answers

Answer:

GCF = x

Step-by-step explanation:

The factor decomposition is:

7 * x for the first term

2 * 2 * x for the second term.

The ONLY common factor is "x", and the maximum power at which it appears in BOTH terms is "1" (one)

Therefore GCF = x

find the value of x.

Answers

Hey there!

To find the value of x in an equation, you have to solve for x.

Example

Given: 3x - 9 = 0

First, add 9 to both sides:

3x = 9

Then, divide both sides by 3

x = 3

Have a terrifcly amazing day!

which is a common denominator of 1/4 and 3/5?
and
A.
9

B.
15

C.
16

D.
20

Answers

Answer:

Step-by-step explanation:

Suppose a line parallel to side Y Z of AXY Z intersects sides XY and XZ at points N and M, respectively. Which of the
following is false? (1 point)

Answers

12yx and 17xz is the answer to the equation

A mooncake with two egg yolks costs $2 more than a mooncake with one egg yolk. The cost of 6 mooncakes with two egg yolks and 5 mooncakes with one egg yolk is $130.80. Find the cost of a mooncake with two two egg yolks.

Plz do in algebraic method

Answers

6(x + 2) + 5(x) = $130.80
6x + 12 + 5x = 130.80
11x = 118.80
x = 10.80, the cost of a moon cake with one egg yolk. Add 2 for the cost of the two egg yolk cake, and your answer is $12.80

6(12.80) + 5(10.80) = 76.80 + 54 = 130.80 ✅

1. What is 2 added to 1?
4
in

Answers

Answer:

Step-by-step explanation:

what is the 4 in for?

Answer:

2+1=3

I think you copy pasted something else like the '4 in'.

Step-by-step explanation:

ratio of 12 seconds to 1 hour

Answers

12:3600

1:300

I edited it lol

hope that helps

PWEASE HEELP:)In two or more complete sentences write and solve an inequality for the situation and explain how you will solve the inequality.

Jennifer must spend $250 or more in order to qualify for a free t-shirt at the store. She already spent $112.49. How much more money does Jennifer need to spend so that she can earn the free t-shirt?

Answers

Answer:

ummmm this is easy

Step-by-step explanation:

she has to spend $137.51 more, all you have to do is

$250 - $112.49 = $137.51

I am not sure if you were serious with this question or not but here is the answer lulu

hope this helps :) :) :) :)

6. The mean of 9, 14,x, 16, 7 and 18 is 11.5. Find the value of x

Answers

Answer:

Given

11.5= 9+14+x+16+7+18/6

⇒x=11.5×6−9−14−16−7−18=5

∴x=5

Step-by-step explanation:

Hope it is helpful.....

PLEASE ANSWER WILL GIVE BRAINLIEST

Answers

Answer:

The answer is B

Step-by-step explanation:

V=lwh

3=15·15·20

3=1500

The measure of an angle is 18.2°. What is the measure of its complementary angle?

Answers

P.’zksksjzjwkwizneszmzms

Find the value of x.
х
50°

Answers

The unknown value of x from the diagram is 80 degrees.

The given diagram is an isosceles triangle.

The base angle of an isosceles triangle are equal

The sum of angle in a triangle is also 180 degrees. Hence:

x + 50 + 50 = 180

x + 100 = 180

Subtract 100 from both sides

x + 100 - 100 = 180 - 100

x = 80 degrees

Hence the unknown value of x from the diagram is 80 degrees.

Learn more here: https://brainly.com/question/21680544

Find the smaller angle (in degrees) between the hands of a clock at 3:25.

Answers

Answer:

uhh

Step-by-step explanation:

I'm not sure what It is

Which polygon appears to be regular?

Figure A

Figure B

Figure C

Figure D

Answers

Answer:

The polygon that appears to be regular is Figure B

Find the slope. hsjsnsjsbjabajabahabh

Answers

Answer:

the slope is 2

Step-by-step explanation:

to find slope all you need to do is look at the places where the line and the graph intersect. you should be able to find atleast 2 places. Once you have done that, count up how ever many spaces it is until you are on the same line with the place where the line intersects with the graph remember that number in your head, then could left or right until you are on top of the other place where it intersects, remember that number. In this case I counted 2 spaces up and 1 space to the left which gave me 2/1 which is 2

hope this helps. have a good day!

Encuentra el valor de las variables de cada ecuacion
3x=6

Answers

Answer:

x = 2

Step-by-step explanation:

3x = 6

6/3 = 2

x = 2

2 x 1/2 x 2 1/2 = 2 1/2
Is this correct?

Answers

Answer:

Yes

Step-by-step explanation:

2 x 1/2 = 1

1 x 2 1/2 = 2 1/2

Answer:

Yes

Step-by-step explanation:

2 x 1/2= 1

1 x 2 1/2= 2 1/2

A- g(x)=|x+5|+5
B-g(x)=|x-5|+5
C-g(x)=|x|+5
D-g(x)=|x-5|

Answers

Answer:

if anything, I would say C. I can't see the image too clearly, but I can see what you typed out

Step-by-step explanation:

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