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

If you could please help, what is the missing answer?

Thank you to anyone who helps out!

Answers

Answer:

48

Step-by-step explanation:

let s be the snowman, g be the girl, and t be the christmas tree

2s+g=24

2t+2ts=132

3t+2g=26

subtract 2 times the first equation from the third one to get

3t-4s=-22

from the second equation we can deduce

2t(1+s)=132

t(1+s)=66

t=66/(1+s)

Substitute:

3(66)/(1+s)-4s=-22

3(66)/(1+s)=4s-22

3(66)=(4s-22)(1+s)

3(66)=-18s+4s^2-22

4s^2-18s-220=0

using the quadratic formula, we get s = 10, s = -5.5.

2(10)+g=24

g=4

2t(1+10)=132

2t=12

t=6

So 2s+t*g= 20+6*4=48

you would get a different solution for the negative s, but since snowmen cannot be negative, 48 is the answe.r

Evaluate the following function at the given x value.
f(x) = (3)X + 2-4 at x = 2
A
77
B
5
С
D
7

Answers

Answer:

4

Step-by-step explanation:

f(x)=3x+2-4

f(2)=3(2)+2-4

f(2)=6+2-4

f(2)=8-4

f(2)=4

An artist spends $80 on brushes and paint. For canvas and
frames, she has to spend an additional $20 per painting.
Write an equation in slope-intercept form(y=mx+b) that shows
the relationship between the artist's total expenses(y) and the
number of paintings(x) that she makes.

Answers

Answer:

y = 20x + 80

Step-by-step explanation:

A forest covers 54,000 acres. A survey finds that 0.6% of the forest is old-growth trees. How many
acres of old-growth trees are there?

Answers

Answer:

324

Step-by-step explanation:

Order the expressions by choosing >,

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

PLEASE HELP WILL MARK BRAINEST!!!

Answers

they biked 220 kil      

that is the answer

Solve the inequality:
12+x≥3(x-6)​

Answers

Hello there! :)

The first step is to use the Distributive Property.

It states that

a(b+c)=ab+ac

Let's distribute 3, using this property:

3(x-6)=3x-18

Now, our inequality looks like so:

12+x≤3x-18

The next step is to move the variables to the left, using the opposite operation:

12+x-3x≤-18

12-2x≤-18

Now, move all the numbers to the right, using the opposite operation:

-2x≤-18-12

-2x≤-30

Divide both sides by -2 to isolate x.

Remember that when we divide by a negative variable, we change the inequality sign:

x≥15

Therefore, x≥15

Hope it helps.

~A lonely teen who helps others with a smile

-Grace :-)

Good luck.

Please Help

Find the area of a circle with radius,
r
= 87cm.
Give your answer rounded to 3 SF.

Answers

Area = pie*r^2
Area= 23778.71

Step-by-step explanation:

so, to repeat, the radius r of the circle is 87 cm.

the area of a circle is

pi×r²

so, in our case

A = pi×87² = pi×7569 = 23,778.7148... cm²

so, how to give this answer with only 3 significant figures ?

as you can see, there are already 5 figures before the decimal point.

3 attempts :

1. 3 significant figures after the decimal point : 23778.715 cm²

2. scientific notation with 3 SF : 2.38×10⁴ cm²

3. converting to m² (1m² = 10000cm²) : 2.38 m²

what is the reasoning of 9 +10 is 21?

Answers

The correct answer is 19

Answer:

the reasoning is incorrect.

Step-by-step explanation:

9+10=19.

4d-6=-14+5d
NEED HELP ASAP

Answers

Answer:

Hewo There!!!

____________________

Isolate the variable by dividing each side by factors that don't contain the variable.

d = 8

____________________

“Darkness cannot drive out darkness: only light can do that. Hate cannot drive out hate: only love can do that.”

― Martin Luther King Jr., A Testament of Hope: The Essential Writings and Speeches

_______________________

Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn

40% of _______ is 16.

Answers

Answer:

40% of ___ is 16

So then 10% of ___ is 4

Then do 4 x 10 = 40

So 40% of 40 is 16.


Easy math stuff- Geometry- **Requires big bran**

Answers

Answer:

8.2 CM

Step-by-step explanation:

ACCORDING TO THE MODEL

radius = 9*2 - 8*2

Diameter = 2 times radius

ok I cant too hard to explain because Im typing so its 8.2cm so

A park in the shape of a rectangle has side
lengths of 7 miles and 9 miles. Approximately how
much shorter is the walk diagonally across the park
than along the two sides of the park?

Answers

Answer:

2.6 miles shorter:) hope this helps

write an equation in slope intercept form of the line that passes through the given points -4,9 -2,4 0,-1 2,-6 PLS HELP ILL GIVE BRAINLY TO WHOEVER IS RIGHT

Answers

Answer:

y=-2/5X-12

Step-by-step explanation:

M=x2-x1/y2-y1

  = -2-(-4)/4-9

  = 2/-5

C was given when u received the point (0, -12)

so C is -12

Answer:

y = -5/2x - 1

Step-by-step explanation:

First, we will figure out the slope. We will use the points (0, -1) and (2, -6). To do this, we look at the y values, -1 and -6, and we look at their rate of change. To get to -6 from -1 we subtract 5, or add -5. Now look at x: 0 and 2. To get from 0 to 2, we add 2. Our slope is [tex]\frac{-5}{2}[/tex].

We can use the point (0, -1) because that's our y-intercept. Your y-intercept is the value of y when x is equal to 0. Now, we put our slope and y-intercept into the slope intercept equation:

y = mx + b: where b is the y-intercept and m is the slope

y = -5/2x - 1 is your answer

Hope this helps! :D

42 is the product of 6 and y. Solve for y

Answers

Answer:

y=7

Step-by-step explanation:

42/6=7

Answer:

y =7 iits divided

Step-by-step explanation:

y =6/42

y= 7

Consider the equation 1/4y=1.5x. Solve the equation for y to find the constant of proportionality.The constant of proportionality for the equation is

Answers

The first thing I did was to be a part of the world, and the other is a great way to get the best out of the way, and I have to say that I am not a fan of the
The first thing I did was to be apart part of the problem and a few of my own personal information ℹ️ and a

Sam opened a savings account by depositing $2,500. He will receive 5% compound interest and he leaves the money in the savings account for 6 year. How much money will be in her account after the 6 years?

Answers

Answer:

120 1 062 = × P . giving P = ÷ 120 1 062 . = 106 799

Which statement best explains whether the table represents a linear or nonlinear function? (4 points)

Input Output
(x) (y)
0 1
1 2
2 4
3 16

Answers

Answer:

Step-by-step explanation:

Nonlinear, because the slope is not constant - it keeps changing.

Slope between (1,1) and (1,2) is (1/1) or 1

Slope between (2,4) and (16,3) is:

            Rise = (3-4) = -1

            Run = (16-2) = 14

            Slope = 14/-1 or -14

Definitely not linear.  The slope changes dramatically very quickly.  A straight line would disapprove.

What is the reciprocal of A if A doesn't equal 0?

Answers

Answer:

1/a

Step-by-step explanation:

A vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends on the number of cars
made. If x cars are made, then the unit cost is given by the function C(x)=0.2x2 - 92x+29,516. What is the minimum
unit cost?
Do not round your answer.

Answers

Answer:

check online for more information

sum out war world 1 in a very short summary

Answers

Archduke Ferdinand is killed. During the conflict, Germany, Austria-Hungary, Bulgaria and the Ottoman Empire (the Central Powers) fought against Great Britain, France, Russia, Italy, Romania, Japan and the United States (the Allied Powers). In the end after 4 years the Allied Powers won. 16 million people were killed. Germany was put to account for everything in the Treaty of Versailles.

Hope that helps

Is - 4 the absolute value of 3 – 7? Explain.

Answers

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day. My name is Galaxy and I will be helping you today!!

We can solve this problem in a single step, we just need to know more about absolute value.

Absolute value is the distance a number is away from 0. For example, if we need to find the absolute value of -7, it would be 7 as the distance can not be negative.

Since we know that, we can solve the problem using algebra and our new logic we got.

[tex]|3-7|=-4?\\4\neq -4[/tex]

We can see that -4 is not the absolute value, 4 is as the distance is 4 and cannot be negative.

Cheers!

3x+1
can you solve it

Answers

Answer:

donwload the gautmaht this is very powerful calculator

What if it’s not correct or not ?

Answers

Answer:

what is correct or not

It takes violet 3/5 hour to paint a chair. How much of the chair will be finished after 1/3 hour? Plz answer this plzzzzz!!

Answers

The anwser is c your welcome

BRAINLIEST
Please answer these

Answers

2. A=49 Pi, C=14 Pi   3. A=225 pi, C=30 pi

4. A=104.04, C=20.4 pi  5. A=20.25 pi, C=9 Pi

Answer:

Step-by-step explanation:

You rent an apartment that costs
$
1600
$1600 per month during the first year, but the rent is set to go up 11% per year. What would be the rent of the apartment during the 10th year of living in the apartment? Round to the nearest tenth (if necessary).

Answers

Answer:

$4,750

Step-by-step explanation:

Answer:

3360

Step-by-step explanation:

1600*.11*10= 1600 *.11 = 176 * 10 = 1760 + 1600 = 3360

y+5=2/1(x-2) into standard form​

Answers

[tex](x + 1 - \frac{1}{2} \sqrt{10)} [/tex]

The first and second terms of an arithmetic sequence are 50 and 100, respectively.
The first and second terms of a geometric sequence are also 50 and 100,
respectively. The sum of the third terms of these two sequences is???

Answers

arithmetic sequence is a constant addition where geometric is a constant multiplication so the third in arithmetic is 150, whereas the geometric third is 200 because 50 = 100 • x and “x” is 2 so it’s 150 + 200 = 350!

6.2 + 0.4x = 8.05 as a decimal . do not round

Answers

[tex] \: \: \: \: [/tex]

[tex] \pink{x = 4.625} \\ \\ or \: in \: alternate \: \: form \\ \\ \pink{x = \frac{37}{8} }[/tex]

Step-by-step explanation:

[tex]6.2 + 0.4x = 8.05[/tex]

move the constant to the right

[tex]0.4x = 8.05 - 6.2[/tex]

calculate

[tex]0.4x = 1.85[/tex]

divide both sides

[tex] \pink{x = 4.625} \\ \\ in \: \: alternate \: \: form \\ \\ \pink{x = \frac{37}{8} }[/tex]

hope it helps

[tex] \huge\bf Question:—[/tex]

[tex] \sf \longmapsto \: 6.2 + 0.4x = 8.05[/tex]

[tex] \bf \huge \: Solution:—[/tex]

[tex]\boxed{ \underline{\bf \: Solving \: for \: x:—}}[/tex]

[tex] \boxed{\bf \: Simplify \: both \: sides \: of \: the \: uequation:—}[/tex]

[tex]\sf \longmapsto6.2 + 0.4x = 8.05[/tex]

[tex]\sf \longmapsto0.4x+6.2=8.05[/tex]

[tex]\boxed{ \bf \: Subtract \: 6.2 \: from \: both \: sides:—}[/tex]

[tex]\sf\longmapsto0.4x+6.2−6.2=8.05−6.2[/tex]

[tex]\sf \longmapsto0.4x=1.85[/tex]

[tex]\boxed{ \bf \: Divide \: both \: sides \: by \: 0.4:—}[/tex]

[tex]\sf \longmapsto \: \dfrac{0.4x}{0.4} = \dfrac{1.85}{0.4} [/tex]

[tex] \boxed{\bf \: Cross-multiply:—}[/tex]

[tex]\sf \longmapsto0.4x \times (0.4)=(1.85) \times (0.4)[/tex]

[tex]\sf \longmapsto \: 0.16x = 0.74[/tex]

[tex] \boxed{\bf \: Divide \: both \: sides \: by \: 0.16:—}[/tex]

[tex]\sf \longmapsto \: \dfrac{0.16x}{0.16} = \dfrac{0.74}{0.16}[/tex]

[tex]\boxed{ \bf \: Cross-multiply:—}[/tex]

[tex]\sf \longmapsto0.16x \times (0.16)=(0.74) \times (0.16)[/tex]

[tex]\sf \longmapsto0.0256x=0.1184[/tex]

[tex]\boxed{ \bf \: Divide \: both \: sides \: by \: 0.0256:—}[/tex]

[tex]\sf \longmapsto \: \dfrac{0.0256x}{0.0256} = \dfrac{0.1184}{0.0256} [/tex]

[tex]\sf \longmapsto \: x = 4.625[/tex]

[tex] \underline{{\boxed{\bf \: Answer:—}}}[/tex]

[tex] \boxed{\huge\red{\bf \: 4.625}}[/tex]

[tex]\boxed{\underline{\bf Answer\: In \: Fractional\: Form:—}}[/tex]

[tex]\boxed{\bf \dfrac{37}{8}} [/tex]

[tex]\boxed{\underline{\bf Answer\: In \:Mixed\: Fraction:—}}[/tex]

[tex]\boxed{\bf 4\dfrac{5}{8}}[/tex]

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