The coordinates of the vertices for the figure HIJK are H(0, 5), I(3, 3), J(4, –1), and K(1, 1). To determine if it is a parallelogram, use the converse of the parallelogram diagonal theorem. This states that if the diagonals, then the quadrilateral is a parallelogram. The midpoint of HJ is and the midpoint of IK is (2, 2). Therefore, HIJK is a parallelogram because of the diagonals, which means they bisect each other.

Answers

Answer 1

Answer:

In ΔHKJ and ΔHIJ

HK=IJ=√17

HI=KJ=√13

HJ=HJ [Common}

ΔHKJ ≅ ΔHIJ [SSS]

Now consider ΔHKI AND ΔKJI

HK=IJ=√17

HI=KJ=√13

KI=KI [Common]

ΔHKI ≅ ΔKJI [SSS]

Now the converse of Parallelogram diagonal theorem also states that if diagonals of a Quadrilateral divides it into two congruent triangles then it is a parallelogram.

Hence the given Quadrilateral is a Parallelogram.

Step-by-step explanation:


Related Questions

Alex graphed two lines in order to find the
solution to a given system of equations.
What is the solution?

Answers

Answer:

(-3,-8)

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

hope it helped

HELP HAVING A BAD DAY


Roger can finish his math homework in 6 hours. Trish can finish the same homework in 5 hours. What part of the homework will Roger and Trish finish if they work together for x hours?

I WILL REWARD BRAINLIEST FOR THE CORRECT ANSWER

Answers

Answer:

Rodger and Trish will finish the homework together for 30 hours. x=30

Step-by-step explanation:

This is a very simple problem. Its an lcm problem (lcm means lowest common multiple)

To find the lcm you must find the common number the two numbers 5 and 6 share which is 30. Hope that helps, sorry your having a bad day. (i am too bad days suck)

6    5

12   10

18   15

24   20

30   25

       30

And the file the other person shows never work, they are bots (robots) who waste your time answering your questions and waste your brainly points. ugh it gets to annoying.

Roger and Trish can finish 11x/30 of the homework if they work together for x hours.

What is Expression?

An expression is combination of variables, numbers and operators.

Let the total amount of work in the math homework is 1.

In one hour, Roger can finish 1/6 of the work, and Trish can finish 1/5 of the work. So, working together for one hour, they can finish:

(1/6) + (1/5)

= (5/30) + (6/30)

= 11/30 of the work.

If they work together for x hours, then they will finish:

x × (11/30) = 11x/30

of the work in x hours.

Therefore, Roger and Trish can finish 11x/30 of the homework if they work together for x hours.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ3

Dallas, Texas has an elevation of 200 feet above sea level. The city of Jacksonville is 300 feet less than the elevation of Dallas. Select all options that apply to Jacksonville. at sea level below sea level above sea level elevation of -100 feet elevation of 100 feet

Answers

Answer:

below sea level;

-100 feets

Step-by-step explanation:

Given that:

Dallas, Texas elevation = 200 feets

Jacksonville = 300 feets less than elevation of Dallas

Hence, elevation of Jacksonville :

Dallas elevation - 300 feets

200 feets - 300 feets = - 100 feets

Hence Elevation of Jacksonville city is - 100 feets

-100 feets, means elevation of Jacksonville city is below sea level (elevation points less than 0, are below sea level).

7p+5q+4p-2q what is the result of combining the like terms

Answers

Answer:

11p+7q

Step-by-step explanation:

8
Martiza is measuring the effect a fertilizer on a field of soybeans has on the local butterfly population.
Based on her data collection, the population of butterflies in the field can be modeled by the function P(d) = 250(0.89)" where d is the number of days the
fertilizer has been applied.
Which statement best describes how the population of butterflies is changing?
>
It is increasing by 89% for each application.
B It is decreasing by 89% for each application
It is increasing by 11% for each application.
It is decreasing by 11% for each application
O 09:10

Answers

It is increasing by 11% for each application.


PLEASE ANSWER THIS
imagine is above
Figure 3 shows the electronic structure of an atom.
Figure 3
Electron
Nucleus
RON
This element is in the shaded group on Figure 2.
Why is this element unreactive?

Answers

Answer:

huh looks simple....it's unreactive because it's already stable

Step-by-step explanation:

it has eight electrons in the outer most energy level making it stable so it doesn't need to loose or gain electrons

write the equation of a line that is parallel to 2x-5y=-20 and passes through the point (7,6)

Answers

Answer:

I guess the answer is 0.4x+3.2=y (0.4 equals to 2/5 ) .

If these four countries trade only with each other, what is the difference between the highest balance of trade and the lowest

balance of trade within this group?

a €4,378,000,000

€2,797,000,000

€1,928,000,000

d €738,000,000

Answers

Answer:

€4,378,000,000

Step-by-step explanation: just took the test :)

Answer:

A

Step-by-step explanation:

Took the test

Giorgio is randomly drawing a numbered tile from a bag that only contains the numbers {3, 4, 5, 6, 7, 8, 9, 10, 11} What is the probability of Giorgio not drawing a tile with an even number?

Answers

Answer:

5/9

Step-by-step explanation:

total number of odd numbers / total numbers in the bag = 5/9

What is the correct i need help
Plz

Answers

The function is linear because y increases at a constant rate.

What is the equation of the line that goes through the points (4,-1) and
(2,3)?

Answers

Answer:

y = -2x + 7

Explanation:

y = mx + b

m = slope

b = y-intercept

y = a given y coordinate

x = a corresponding x coordinate

First, we need to find the slope (m).

1) (4, -1)

2) (2/3)

m = slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{3-(-1)}{2-4}[/tex] = [tex]\frac{4}{-2}[/tex] = -2

plug in the values to the equation y = mx + b

-1 = -2(4) + b

-1 = -8 + b

7 = b

now, we can substitute in m and b into the equation y = mx + b

y = -2x + 7

7. These number share the same percentage
increase. Work out the missing value.
£20 and £25
£24 and £___

Answers

Answer: 30

You find the difference and put this over the original price ie. 25-20=5. 5/20= 0.25 so the increase is 25%

24x 0.25= 6
6+24=£30

(Or 24x1.25=30)

How much thermal energy is released when 269.8 grams of tungsten, with a specific heat of 0.134 J/g°C, cool to 20.56°C from 212.7°C?

Answers

JWNWNWNENENENNEE WBWHJWJWJWEJE. EEJENE ENENEBEBEJE

pls answer i’m doing a test rn

Choose the real-world situation that can be represented by the inequality:
x < 40
a.James is allowed at most 40 minutes of screen time per day.
b. The temperature in the fridge needs to be below 40°F.
C. It will take at least 40 minutes to drive to the basketball game.
d. Ava must spend more than 40 minutes every day practicing piano.

Answers

Answer:

B.

Step-by-step explanation:

B. is the only anewer choice that doesn't have at least and that would have x on the left side of the inequality

A. would have the < with an equal sign under it

C. would have the > with an equal sign under it

D. would have the > sign

hope this helps <3

What’s the answer to this?

Answers

Answer:

<D is congruent to <B

Step-by-step explanation:

They both have the 3 lines indicated on them

I need help!! 100 points! Please don't scam, I will report and take away these points!

Answers

Answer:

A angle 7 is 6 inches

B angle 8 is 7 inches and 5 inches wide

C angle 3 is an obtuse angle, 6 inches and 9 inches wide

Write an inequality to label the shaded region of the graph
-3
2
11
X
-3
-
4
-
- 1 -2
3
4

Answers

Answer:

y < 1

Step-by-step explanation:

the value of y in the whole part is less than or equal to 1.

which graph represents the function

Answers

I believe the answer is C

Can someone help me please
I will give brainiest
don’t need to show work

Answers

Answer:

I believe x=2

Step-by-step explanation:

3x-6=-4x+8

7x=14

x=2

1+1=2 is equal x=2 I hope it help

What am I supposed to do in this assignment

Answers

Answer:

Do it

Step-by-step explanation:

Answer:

um srry i dont know hope you have a good day get a good grade and stay safe

Step-by-step explanation:

Decrease 20g by 12.5%

Answers

Step-by-step explanation:

please follow me

hloooo

Answer:

17.5 g

Step-by-step explanation:

20 g is 100% then a decrease of 12.5% is

100% - 12.5% = 87.5% = [tex]\frac{87.5}{100}[/tex] = 0.875 , then

20g × 0.875 = 17.5 g

Complete the statement to describe the expression ab + cdab+cda, b, plus, c, d. The expression consists of terms, and each term contains factors.

Answers

Answer:

The expression consists of two terms, and each term contains two factors.

Step-by-step explanation:

Given - Complete the statement to describe the expression ab + cd

To find - The expression consists of ....... terms, and each term contains .......factors.

Proof -

The given expression has two terms

Term I - ab

Term II - cd

Now,

Each term contains two factors

In Term I - one factor is a and another factor is b

In Term II - one factor is c and another factor is d

Definition used -

A term is a single mathematical expression.

It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted.

A Factor is Something which is multiplied by something else.

A factor can be a number, variable, term, or a longer expression.

The set of even numbers that can be be divided by 3 is

Answers

a number is divisible by 3 if the sum of its digits is divisible by 3. 375, for instance, is divisible by 3 since sum of its digits (3+7+5) is 15. And 15 is divisible by 3. 1+2=3 and 3 is divisible by 3

Answer:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ect

Step-by-step explanation:

keep adding 3+3, then 3+6 and so on, then when you go as far as you want, look back at all the even numbers

Help PLEASE 10pts CMON PEOPLE I NEED TO FINISH THIS TODAY

Answers

Answer:

80=X

95=X

55=X

30=X

you simply add the numbers you have together then subtract that from 180

Are the figures congruent? Explain.

Answers

I’m on the same question

A countrys population in 1990 was 145 million. In 1998 it was 151 million. Estimate the population in 2015 using the exponential growth formula. Round your answer to the nearest million

Answers

Answer:

The population in 2015 will be 165 million.

Step-by-step explanation:

The exponential growth formula is given by:

[tex] f(t) = a(1 + r)^{\Delta t} [/tex]

Where:

a: is the initial population

r: is the rate of increase

Δt: is the time        

With the initial information we can find the rate:

[tex] 151 = 145(1 + r)^{1998-1990} [/tex]      

Using logarithm:                                    

[tex] ln(151) = ln(145) + 8[ln(1 + r)] [/tex]  

[tex] ln(1 + r) = \frac{ln(151) - ln(145)}{8} [/tex]                        

[tex] ln(1 + r) = 5.0683 \cdot 10^{-3} [/tex]          

Using exponential:          

[tex] e^{ln(1 + r)} = e^{5.0683 \cdot 10^{-3}} [/tex]

[tex] r = 5.081 \cdot 10^{-3} [/tex]        

Now, we can find the estimated population in 2015:

[tex] f(t) = 151(1 + 5.081 \cdot 10^{-3})^{2015-1998} [/tex]              

[tex] f(t) = 165 [/tex]              

Therefore, the population in 2015 will be 165 million.

I hope it helps you!

you deposit $50 in checks in your account with $100 cash amount, what is your total deposit? (answer in only numbers) $


I’ll give brainiest

Answers

Its 150 dollars because your adding 50 +100

DUE TODAY!! Which number could be considered an outlier in the data set {3,5,6,8,24}?

6
3
5
8
24

Answers

Answer:

24

Step-by-step explanation:

all the other numbers are not that far in range from each other but 24 is way off so its the outlier

Please help I have no idea how to answer this question

Answers

Answer:

n = 3

Step-by-step explanation:

plug in 3 for n in the equation:

Numerator: n + 1 = 3 + 1 = 4

Denominator: 2^n = 2^3 = 2 * 2 * 2 = 4 * 2 = 8

Simplify the fraction. Divide common factors from both the numerator and denominator:

(4/8)/(4/4) = 1/2

1/2 = 1/2 ∴ n = 3

~

Tracy bought a new silk shirt. The shirt is on sale for 20% off the original price. If the original price was $56, what is the sales price of the shirt.
Group of answer choices
$11.20
$48.80
$44.80
$38.80

Answers

Answer:

$44.80

Step-by-step explanation:

$56 * 0.2 (%20) = $11.20

$56 - $11.20 = $44.80

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