Drag and drop the answers to the boxes to correctly complete the proof.
Given: Rhombus JKMH with diagonals intersecting at point P
Rhombus J K M H with diagonals J M and H K intersecting at P

Prove: JM⎯⎯⎯⎯⎯⊥HK⎯⎯⎯⎯⎯⎯

By the definition of Response area, JK⎯⎯⎯⎯⎯≅KM⎯⎯⎯⎯⎯⎯ and by the reflexive property of congruence, KP⎯⎯⎯⎯⎯≅KP⎯⎯⎯⎯⎯ . Because the diagonals of a rhombus bisect a pair of opposite angles, ∠JKP≅∠MKP , making △JKP≅△MKP by the Response area. Because Response area, ∠JPK≅∠MPK, and these angles are right angles because two angles that form a linear pair are congruent, thereby making JM⎯⎯⎯⎯⎯⊥HK⎯⎯⎯⎯⎯⎯ by the definition of perpendicular segments.
Response area means blank
The answers are Congruent segments, a rhombus, a parallelogram, SSS congruence postulate, ASA congruence postulate, SAS congruence postulate, CPCTC, they are adjacent, and vertical angles are congruent

Answers

Answer 1

The completed proof is presented as follows;

By definition of a rhombus [tex]\overline{JK} \cong \overline{KM}[/tex] and by the reflexive property of

congruence [tex]\overline{KP} \cong \overline{KP}[/tex], because the diagonals of a rhombus bisect a pair

of opposite angles, ∠JKP ≅ ∠MKP, making ΔJKP ≅ ΔMKP by the SAS

congruency postulate, because CPCTC, ∠JPK ≅ ∠MPK, and these angles

are right angles because two angles that form a linear pair are congruent,

thereby making, [tex]\overline{JK} \perp \overline{KM}[/tex] by definition of perpendicular segments.

Reasons:

Please find attached the drawing of the given rhombus JKMH, that show

the point of intersection of the diagonals JM and HK at point P.

A rhombus is an equilateral quadrilateral, therefore, the adjacent sides [tex]\overline{JK} \ and \ \overline{KM}[/tex] are congruent.

The SAS congruency postulate states that if a triangle has two sides and an included angle that are congruent to two sides and an included angle of another triangle, then the two triangles are congruent.

CPCTC is an acronym for Congruent Parts of Congruent Triangles are Congruent.

Learn more about the properties of a rhombus here:

https://brainly.com/question/10618409

Drag And Drop The Answers To The Boxes To Correctly Complete The Proof.Given: Rhombus JKMH With Diagonals

Related Questions

Why does it take 30 years to pay $150.000 lan, even though you pay $100 a month

Answers

Answer:

because you have to multiply the 100x12= 1200 than multiply that by another 1200

Step-by-step explanation:

The line plot shows the costs of 5 books. A teacher buys all 5 books. She pays
with a $100 bill. How much change should she get?

Answers

Answer:

$36 in change

Step-by-step explanation:

book cost total: 64

100-64=36

If you aren't sure how to read the chart, each "X" represents one book and the numbers below represent the price.


Order the expressions

Answers

Answer:

1. 3^4 x 3^3 < 3^12

2. 3^3 x 4^3 < 12^4

3. 3^4 x 4^3 > 12^3

Can someone please explain the steps?

Answers

Answer:

There all 67 degrees

Step-by-step explanation:

Answer:

y= 119

Step-by-step explanation:

From the diagram we know that opposite angles are the same so we can assume that y and its opposite angle will be the same too

All inner angles of a parallelogram add up to 360

61+61=122

360-122=238

238/2=119

A cycle is marked at ₹ 4500 and sold for rupees ₹4185 padma said that the discount percentage is 7 % do you agree ? give reasons.

DON'T SPAM!JUST DON'T​

Answers

Answer:

Yes

Step-by-step explanation:

Given:

A cycle is marked at ₹4500 and sold for rupees ₹4185.

Now, To find discount

4500 × 7 ÷ 100 = 315

Now,

4500 - 315 = 4185

Thus, The answer is Yes Agreed!

-TheUnknownScientist 72

The bearing of point Y from point X is 065°.
The bearing of point Z from point Y is 145º.
The bearing of point Z from point X is 105º.
Find the bearing of point X from point Z.

Answers

Answer:

285°

Step-by-step explanation:

You have probably learned bearing in geography and maybe even mathematics.

First off, skip the Y part since the answer you're looking for have nothing to do with it.

So, 180°+105°=285°

Those red-colored angles.. they have the same angle.

That's cause they're alternate angles and alternate angle are equal.

That arrow-like thing is to proove that they're parallel.

if clare goes to the bank every 7 days and clare go's to the bank every 5 days what day will they bolth go to the bank

Answers

The weekdays
Because there are 5 week days so most likely they will meet up on those days

[tex]\sqrt{\frac{15}{6} }[/tex]

Simplify, and show work please :D

Answers

Hello! :p

Simply 15/6 to 5/2 = [tex]\sqrt{5/2}[/tex]

   

    2. Simply again [tex]\sqrt{5} \\\sqrt{2}[/tex]

    3. rationalize the denominator so 5/2 times 2/2  [tex]\sqrt{5} \sqrt{2} \\ ---\\2[/tex]

    4. Simply  [tex]\sqrt{5} \sqrt{2}[/tex] to [tex]\sqrt{10}[/tex]

      answer: [tex]\sqrt{\frac{10}{2} }[/tex]

Hope this helps! Have a wonderful day1 :)

Sorry, I had a hard time finding all the symbols, so I had to get creative!

are these lines perpendicular explain

Answers

yes, they cross each other and make an angle of 90° or right angle.

Answer:

Yes because the slopes are negative reciprocals of each other.

Step-by-step explanation:

The slope of line B is: 1/3

(-2, -4) and (1, -3)

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

The slope of line A is: 3

(-3, 0) and (-2, -3)

(-3-0)/(-2+3) = -3

um. ill give brainliest help please !!!

Answers

No, Poppy did not answer the problem correctly.

The mistake I see is that she did not include the exponent on the first 3. She also forgot to keep the -8.

The correct answer would be -7. (see attachment)

Have a nice day :)

Area codes are the first three digits of a 10-digit telephone number. The first digit of an area code cannot be 0 or 1.

a. How many area codes can be created if digits are allowed to be repeated?

b. How many area codes can be created if digits are not allowed to be repeated?

Answers

Answer:A

Step-by-step explanation:because the numbers can be allowed to be repeated

Help help help help math

Answers

Answer:

A = 192

Step-by-step explanation:

r = 16/2 = 8

A = 3x(8)^2

8^2 = 64

A = 3 x 64 = 192

Radius is half the diameter.

The diameter is shown as 16, so the radius would be 16/2 = 8 in.

Area = 3 x 8^2

Area = 3 x 64

Area = 192 square inches

Need help this please!

Answers

Answer:

My earlier answer was deleted, so I'm reposting.  The only thing I can think happened is that I included a link to a free bar chart program, which I used for the attached chart.

Step-by-step explanation:

Make your own chart or find an online bar chart utility.  I was unable to properly label the title and axes on my chart, so modify these properties.

During a sale at a furniture store, sofas were marked down 30%. You have a coupon for an additional 15% off. What is the final price of a sofa that originally cost $550?

Answers

Answer:

327.25

Step-by-step explanation:

550*0.7=385

385*0.85=327.25

!!! MUST REMEMBER!!!

dont add 30% and 15% together, 15% is another discount on the price that has been marked down.

The final price of a sofa will be $302.5.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

The original price of a sofa = $550

During sale at a furniture store, sofas marked down = 30%

Coupon for an additional 15% off.

Now,

Total percent for profit on a sofa = 30% + 15%

                                                  = 45%

Hence, The cost of a sofa after discount will be calculate as;

The cost of discount at a sofa = 45% of 550

                                              = 45/100 x 550

                                              = 24,750 / 100

                                              = 247.5

So, The final cost of a sofa = $550 - $247.5

                                         = $302.5

Therefore, The final price of a sofa will be $302.5.

Learn more about the percentage visit:

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Complete the given ordered pairs for the equation.
y = 2x + 1
(5, )
(0, )
(-2, )

Answers

Answer:

(5,11)

(0,1)

(-2,-3)

Step-by-step explanation:

y=2(5)+1

y=10+1

y=11

so... (5,11)

y=2(0)+1

y=0+1

y=1

so... (0,1)

y=2(-2)+1

y=-4+1

y=-3

so... (-2,-3)

A right triangle has leg lengths that are 5 meters and 6 meters, respectively. Which of the following lengths, in meters, is closest to that of the hypotenuse of the right triangle? answer

Answers

Answer:

7.8 or 8

Step-by-step explanation: To get the hypotenuse of a right triangle we must square each part.

5^2 is 25 and 6^2 is 36

Now you add the two squared parts, which equals 61. 61 squared isn't a perfectly squared. This means the answer is 7.8 or rounded to the nearest tenth the answer will be 8.

What is greater 7 or -7

Answers

7 is greater because it’s a positive and above 0, -7 is under 0 which is considered a negative

Hello there!

7 is greater than -7, because positive numbers are always greater than negative ones.

a>-a

The > sign means "greater than"

Hope it helps.

~A lonely teen who helps others with a smile

-Grace :-)

Good luck.

how do I do this, what is the answer?​

Answers

Answer:

g=2-X/-3

Step-by-step explanation:

X=3g+2

To make g the subject, make it stand alone

While transferring 3g to the other side of the equation, the sign changes i.e + changes to -

The equation will then be written as: -3g = -X + 2 or -3g = 2 - x

Divide both sides by -3

g= (2-x)/-3

Sara is saving up to purchase a small T.V.
She has saved $80, which is 64% of the total
cost of the television. How much does the
television cost?

Answers

Answer:

You got this just keep trying

Step-by-step explanation:

Answer:

It might be 80

Step-by-step explanation:

first you put 64% and $80 as a fraction. 64%/$80. Then next to the fraction, you put x/100. Then you cross multiply. 64 times 100 is 6400. 6400 divided by 80 is 80. Therefore, the answer is 80. Hope this helps!

Bradley needs st least $280 for a laptop. He already had saved $40. He earns $8 an hour at his job. Write and solve the inequality to find how many hours he will need to work to buy the system. Explain the solution.

Answers

Answer: 30

Step-by-step explanation:

40 + 8x = 280

-40 -40

8x = 240

___ ____

8 8

X = 30

A diver descends 3.2m in 5min. what was his average rate of descent in metres per minute?

Answers

Divide distance by time:

3.2 meters / 5 minutes = 0.64

The descent was -0.64 meters per minute

Answer:

.64

Step-by-step explanation:

Whenever you see x per y that means that you're looking at a ratio, which can be expressed as a fraction.

It would look like 3.2/5

The rate of descent may not be consistent, but on average it's reflected by the ratio and so you can just cut 3.2 meters into five equal parts to see, on average, how far the diver descended every minute.

Hey y’all please help me.

Answers

Answer:

u-3>-6

Step-by-step explanation:

Just ask.

Hope this helps.

PLSS HELP MEE WILL MARK BRAINLIEST
What would be the point in between the 700 and 800?

Answers

Answer:

750

Step-by-step explanation:

The function f(x) is shown in this graph.
5
(0,2)
The function g(x) = -3x - 6. Compare the slopes,
Help plz

Answers

Answer:

The slopes are equal

Step-by-step explanation:

Calculate the slope m of f(x) using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 5) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m = [tex]\frac{2-5}{0-(-1)}[/tex] = [tex]\frac{-3}{0+1}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

g(x) = - 3x - 6 ← is in slope- intercept form

with slope m = - 3

Then the slopes of f(x) and g(x) are equal, meaning the lines are parallel

expand and simplify (x+7)(x+1)

Answers

Answer:

x² + 8x + 7

Step-by-step explanation:

    (x + 7) (x + 1)

=  x(x + 1) + 7(x + 1)        Distributive

=  (x · x) + ( x ·1 ) + (7· x) + (7 · 1)

=  x² + x +  7x + 7         Multiply

=  x² + 8x + 7                Add like terms

The Sea Lions are facing off against The Otters in fantasy football. The Sea Lions scored -12 points this
week The Otters scored -17 points this week
Which one of the following inequalities correctly compares the scores?
Choose 1 answer:
-17> -12
8
B
-12 > -17
Which one of the following descriptions is correct?
Choose 1 answer:

Answers

Answer:

the answer is b -12 is closer to being a positive number making it worth more than -17. so you're answer would be -12>-17

The corner store sells pairs at a rate of $2.50 for per pair if Fiona has $15 how many pairs can if you fiona buy?

Answers

Answer: Fiona can buy six pairs.

15/2.5 = 6

Answer:

Fiona can buy 6 pairs

Step-by-step explanation:

2.50x 6

Ricardo is creating a budget for himself to set goals on how much money he wants to save. At his current job, he makes $300 per week, and spends $40 each week on his expenses. If he wants to save a total of at least $2,600, how many weeks at minimum does he have to work for in order to reach his goal?

Answers

Answer:

10 Weeks

Step-by-step explanation:

If he makes $300 every week minus $40 for his expenses and needs $1200. 300-40=260.....  260x10=1200 So he would have to work 10 weeks at a minimum.

The number of weeks at minimum does he have to work for in order to reach his goal is 10 weeks.

What is unitary method?

The unitary method is used to find the value of a single unit from a given multiple.

For example, the price of 40 pens is Rs. 400

It should be noted that the concept of ratio and proportion is used for problems related to this method.

According to questions,

He makes $300 per week

and spends $40 each week on his expenses.

Therefore his total savings per week = $300 -  $40

                                                              =  $260.

Also he wants to save a total of at least $2,600.

Thus number of weeks at minimum does he have to work for in order to reach his goal = $2600 ÷ $260

                       = 10 weeks.

Hence the required number of weeks = 10 weeks.

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anish spend 1/5 of 4000 and Anil spend 1/3 of 4500.who spend more and by how much​

Answers

Answer:

Anil

Step-by-step explanation:

This is because 1/3 is greater then 1/5

The average number of students in ten 5th grade classes is 27. Which of the following can be extrapolated from this information? *

A the average teacher to student ratio
B the average grade of a 5th grader
C the average number of students in all grades
D the average number of students in all 5th grade classes

Answers

Answer:

D

Step-by-step explanation:

Answer:

D would be the answer:) hope this helps

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