If given DG ≅ JK, which congruence postulate or theorem must you use before proving FG ≅ HK?

If Given DG JK, Which Congruence Postulate Or Theorem Must You Use Before Proving FG HK?

Answers

Answer 1

Answer:

  the correct answer choice is marked (AAS)

Step-by-step explanation:

All the corresponding angles are marked congruent. If one corresponding side is marked congruent, you can claim AAS or ASA congruence for the triangles: one side and two angles. Of these, AAS is among the answer choices.

You must use AAS to show triangle congruence before claiming FH ≅ HK by CPCTC.


Related Questions

solve the equation: -5x+12=20

Answers

-5x + 12 = 20

-5x = 20 - 12

-5x = 8

x = -8/5

The floor of a gazebo is in the shape of a regular octagon. The perimeter of the floor is 72 feet. The distance from the center of the octagon to one of the vertices is 11. 8 feet. What is the approximate length of the apothem? feet What is the approximate area of the floor of the gazebo? square feet.

Answers

Answer:he correct answers are 10.9 feet and 392.4 square feet.

Step-by-Step explanation:

Answer:

Apothem is 10.9 feet

Area of the gazebo is 392.4 feet

Step-by-step explanation:

Edge

help help help plssss

Answers

Answer:

6.5

Step-by-step explanation:

bc I just no plus or it's 5

Ajoba and Prav drive to work. Ajoba drives 45 miles in 2.5 hours. Prav drives 74 km in 1 hour 15 min. Work out the difference between their average speeds in km/h. 1 mile = 1.6 km​

Answers

Answer:

30.4 km/h

Step-by-step explanation:

Ajoba: 45 miles = 72 km ; 2.5 hours

Prav: 74 km ; 1 hour 15 min = [tex]\frac{5}{4}[/tex] hours

Ajoba's average speed: 72 ÷ 2.5 = 28.8 km/h

Prav's average speed: 74 ÷ [tex]\frac{5}{4}[/tex] = 59.2 km/h

Difference: 59.2 - 28.8 = 30.4 km/h

There is a proportional relationship between minutes and dollars per minute, shown on a graph of printing expenses. The graph passes through the point (1, 3.40). What is the slope of the graph? What is the unit rate? Complete the explanation.​

Answers

Answer:

Below!

Step-by-step explanation:

The slope is 1. The unit rate is $4.75/min If the graph of a proportional relationship passes through the point (1 , R) then r equals the slope and the unit rate. $4.75 per min.

The slope of the graph resembles the unit rate.

The unit rate is the amount it cost per minute.

The graph passes through the point (1, 3.40), which means it is at x = 1, the rate is $4.75.  

What is the area of a rectangle with a width of x^2+x+1 and a length of 3x^2-2x-1?

Please help!

Answers

Answer: width= 2x-1 and length= 3x+2

Step-by-step explanation: SOLUTION: Choose a possible dimensions of a rectangle with a width= 2x-1 and length= 3x+2 so that its area is greater than 153cm² a. W= 13 L= 15 b. W= 11 L= 20

Mr. Doyle mowed 2\5ths of his lawn. His son mowed 1\3rd of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?How much does Mr. Doyle have left to mow?

Answers

Answer:

Step-by-step explanation:

Dad:  2/5

Son:  1/3

Who mowed most of the lawn? Dad, of course.  2/5 is larger than 1/3.  2/5 is 40% and 1/3 is 33.333%

How much of the lawn still needs to be mowed?  

 2/5 + 1/3 + X = 1  [1 means the whole lawn.  X is the remaining portion.]

6/15 + 5/15 + X = 1   [Convert each fraction so that they have a com,mon denominator.  This also shows that 2/5 (6/15) is larger than 1/3 (5/15).

11/15 + X = 1

X = 1 - 11/15

X = 4/15 left to be mowed.

How much does Mr. Doyle have left to mow?

We'll assume each rate is the same, 2/5 for Dad and 1/3 for son.

4/15 left to be mowed.

Dad will mow 2/5 of 4/15, so (2/5)*(4/15) = 8/75 left of the original yard

Son will mow 1/3 of 4/15, so (1/3)*(4/15) = 4/45 left of the original yard

Mr. Doyle mowed faster than his son. The amount of lawn still needs to be mowed will be 4/15. Mr. Doyle has left to mow and will be 8/75.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Mr. Doyle mowed 2/5 of his lawn. His son mowed 1/3 of it.

Convert the fraction into a decimal number. Then we have

2/5 = 0.40

1/3 = 0.33

Mr. Doyle mowed faster than his son.

The amount of the lawn still needs to be mowed will be given as,

⇒ 1 - 2/5 - 1/3

⇒ (15 - 6 - 5) / 15

⇒ 4 / 15

The amount of lawn still needs to be mowed will be 4/15.

Mr. Doyle has left to mow and will be given as,

⇒ (4 / 15) x (2 / 5)

⇒ 8 / 75

Mr. Doyle has left to mow and will be 8/75.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

peter and pam are both avid swimmers

Answers

Answer: that they are

Step-by-step explanation:

Please help! I really need to get the answer correct

Answers

Answer:

x + 9y²

Step-by-step explanation:

A prime polynomial is simply an irreducible polynomial.

x + 9y² is a prime polynomial

First, we test the options.

x + 9y²

The above function cannot be reduced further.

Hence, x + 9y² is a prime polynomial

3m + 9n

Factor out 3

3 (m + 3n)

3m + 9n is not a prime because it can be factored as 3 (m + 3n)

8x^7 - 9x + 12x²

Factor out x

x(8x^6 - 9 + 12x)

8x^7 - 9x + 12x² is not a prime because it can be factored as x(8x^6 - 9 + 12x)

Hence, x + 9y² is a prime polynomial

please help!!
solve for x

Answers

Answer:

4

Step-by-step explanation:

These both angles are vertically opposite angles. And, vertically opposite angles are equal. So,

→ 5x ― 6 = 3x + 2

→ 5x ― 3x = 2 + 6

→ 2x = 8

→ x = 8/2

x = 4

Therefore, the value of x is 4.

+{-x2y+[-(x2y-2xy2+y2)+(-xy2-3y2+x2y)]-(10y2-x2y)}

Answers

Answer:

3xy² -  14y²      

Step-by-step explanation:

I hope that this is the problem

   - x²y + [ - (x²y - 2xy² + y²) + (xy² - 3y² + x²y)] - (10y² - x²y)

= - x²y + [ - x²y + 2xy² - y² + xy² - 3y² + x²y] - 10y² + x²y

Now combine like terms in the [  ].

= - x²y  + [ -x²y + x²y + 2xy² + xy² - y² - 3y² ] - 10y² + x²y

= - x²y  + [ 0 + 3xy² - 4y²] - 10y² + x²y

= - x²y + 3xy² - 4y² -10y² + x²y                      Now combine like terms

=   (-x²y + x²y) + 3xy² + (-4y² - 10y²)

=       0 + 3xy² - 14y²

=  3xy² -  14y²       or    y²(3x - 14)

I’ll give brainliest, thanks and 5 stars.

Answers

Answer:

First, you can break 6 into 3 * 2.

[tex]\frac{6^4*15^3}{3^3*2^4} =\frac{3^4*2^4*15^3}{3^3*2^4}[/tex]

Then, cancel out the common factor of [tex]3^3[/tex]:

[tex]\frac{3^4*2^4*15^3}{3^3*2^4} =\frac{3*2^4*15^3}{2^4}[/tex]

Next, cancel out the common factor of [tex]2^4[/tex].

[tex]\frac{3*2^4*15^3}{2^4} =3*15^3[/tex]

You can evaluate it as 10125 if you'd like.

Salut comment ça va? This is french.

Answers

ouiiii niceeeee///:////
Bonjour, je vais très bien, merci. Comment ça va?
translation: hello, i am very well, thank you. how are you?

Plz help don't understand
1 thru 4------Don't mind the other writing------

Answers

Hi there friend, I hope this helps explain a little better. Let me know if you have questions.

Justin wants to buy a new bicycle, which costs $266.52. His parents have promised to contribute one-fourth of the cost of the bike. The rest will have to come out of Justin’s savings. What amount will Justin need to come up with to get the new bike? Round 2 places past the decimalI have no clue how to do financial math

Answers

Answer:

Step-by-step explanation:

how do you do this? appreciated for your help

Answers

Answer:

1/20 E

Step-by-step explanation:

11.74 - 11.69 = .05

.05 =1/20

Answer:

E. 1/ 20 seconds

Step-by-step explanation:

The distance covered by both the athletes is the same.

So, calculating the difference between their times:

Bryan completed the race in 11.74 secondsLuis completed the race in 11.69 seconds

DIFFERENCE:

That means, Luis completed the race before Bryan, and the difference between their times is:

= 11.74 - 11.69

= 0.05 seconds

CONVERSION:

To convert this decimal into a fraction we'll multiply and divide the decimal by 100 (as the number of decimal places is "2", the decimal will be handled by 10 exponent "2" )

[tex]=0.05 \times \frac{100}{100}[/tex]

[tex]= \frac{5}{100}[/tex]

5's a common factor in both numerator and denominator hence, it cancels out

[tex]=\frac{1}{20}[/tex]

ANSWER:

Therefore, we got [tex]\frac{1}{20}[/tex] seconds. That is option E.

6m squared+ 7n= what?

Answers

Answer:

(6+7)

Step-by-step explanation:

Barbara wants to buy muffins. Which is the best deal? O a. 9 muffins for $7.92 O b. 4 muffins for $3.60 O c. 6 muffins for $5.34 O d. 8 muffins for $7.60 N​

Answers

Answer:

D

Step-by-step explanation:

Hope it can help you lovelots

#LEARN WITH BRAINLY

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!5

Answers

Answer:

B. 8

Step-by-step explanation:

Point-slope form:

[tex]y-y1=m(x-x1)[/tex]

m is the slope, and that is 8 in this equation.

the slope of the line would be 8. the slope is always in front of the x. we would simply distribute the 8 to the (x-14) and get 8x-108. we can then identify the slope of 8. :D

Marty simplified the expression 2(x - 2) - 2(3) as 2x-8. Is he correct? Explain why or why not.

Answers

Answer: No

Step-by-step explanation:

It should be 2x-4 (2*×=2x and 2*2=4)

No, the simplified expression is not correct.

What is simplification?

Simply put, to simplify is to make something simpler. Simplifying an equation, fraction, or issue in mathematics entails taking something complex and making it simpler. The issue is made simpler by calculations and problem-solving strategies. We can simplify fractions by removing all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form.

Given expression

2(x - 2) - 2(3)

so 2(x - 2) = 2x - 2(2)

= 2x - 4

and 2(3) = 6

substitute the value

2(x - 2) - 2(3) = 2x - 4 - 6

= 2x - 10

and equation of Marty is  2x - 8

Hence the equation of marty is incorrect.

Learn more about simplification;

https://brainly.com/question/28996879

#SPJ5

I need help with my Geometry. Can you help?
Thanks.​

Answers

Answer:

  1.  32 units

  2.  C(-15, -4) and D(17, -4)

Step-by-step explanation:

1.

The midpoint divides CD into two segments that are the same length:

  CM = MD

  8(x -2) = 4(5x -16)

  8x -16 = 20x -64 . . . eliminate parentheses

  48 = 12x . . . . . . . . . add 64 -8x

  x = 4 . . . . . . . . . . . divide by 12

Then the length of CD is ...

  CD = 2·CM = 2(8(x -2)) = 2(8(4-2))

  CD = 32

__

2.

If we put C and D on the same horizontal line as M, their coordinates are ...

  C = M -(16, 0) = (1,-4) -(16, 0) = (-15, -4)

  D = M +(16, 0) = (1, -4) +(16, 0) = (17, -4)

Coordinates C and D that have M(1, -4) as a midpoint are ...

  C(-15, -4) and D(17, -4).

the ratio of men to women at Wal-Mart was 3 to 5. If there were 350 women, How many men were in the store?

Answers

Answer:550

Step-by-step explanation:

Answer:

550

sjjeusuwjwhhsusjsisjisjwnqbisjd

PLS HELP WILL MARK BRANLIEST ! NO FAKE ANSWERS!!!

Answers

Answer:

You can solve this with long division:

Answer:

Area = 2x²+3x+4

Step-by-step explanation:

Volume :

V= abh

Area:

S=ab or V:h

In our  case :

[tex]abh=(2x^3+7x^2+10x+8 ) \\\\ h=x+2[/tex]

Let's use Synthetic division:

[tex]\large \boldsymbol{}x+2=0 \to x=-2 \\\\ \underline{\begin{array}{c|c|c|c|c|} \bf \stackrel{x+2}{-2} \ & \stackrel{x^3}{2} \ & \stackrel{x^2}{7} \ & \stackrel{x}{10} \ & { \stackrel{1}{8} \ }\end{array}}[/tex]

[tex]\large \boldsymbol{} \underline{\begin{array}{c|c|c|c|c|c|} \ & \ \ \ & \ \ \ & -4 & -6 & -8\end{array}}[/tex]

[tex]\large \boldsymbol{} \underline{\begin{array}{c|c|c|c|c|c|} \ & \ \ \ & \ \ \ & \ \ \bf3 \ & \ \ \bf4 \ & \bf 0 \ \end{array}}[/tex]

Then :

[tex]\large \boldsymbol{}(2x^3+7x^2+10x+8) :(x+2)= \\\\(2x^2+3x+4)(x+2):(x+2)=\boxed{2x^2+3x+4}[/tex]

Area = V:h  ⇒ 2x²+3x+4

Select all of the equations below that are equivalent to:

m + 17 = 18

Use properties of equality.

m + 7 = 18 - 12

m + 6 = 18 - 10

m + 17 - 2 = 17

m + 13 = 18 - 4

Submit

Work it out

Answers

The equivalent expression will be;

⇒ m + 13 = 18 - 4

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ m + 17 = 18

Now,

Since, The expression is,

⇒ m + 17 = 18

Solve for m as;

⇒ m + 17 - 17 = 18 - 17

⇒ m = 1

For option (i);

The expression is,

⇒ m + 7 = 18 - 12

⇒ m + 7 = 6

⇒ m = - 1

For option (ii);

The expression is,

⇒ m + 6 = 18 - 10

⇒ m + 6 = 8

⇒ m = 2

For option (iii);

The expression is,

⇒ m + 17 - 2 = 17

⇒ m + 15 = 17

⇒ m = 2

For option (iv);

The expression is,

⇒ m + 13 = 18 - 4

⇒ m + 13 = 14

⇒ m = 1

Thus, The equivalent expression is,

⇒ m + 13 = 18 - 4

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

The equivalent expression of m + 17 = 18 is determined as m + 13 = 18 - 4 (Option D).

What is equivalent expression?

An equivalent expression refers to a mathematical or algebraic expression that has the same value or meaning as another expression, despite potentially having a different appearance or form.

The equivalent expression is calculated as

m + 17 = 18

Solve for m as;

m + 17 - 17 = 18 - 17

m = 1

So we are going to solve all the equations and the one that has the value of m equal to 1 is the equivalent expression.

Solving for option (1)

m + 7 = 18 - 12

m = -1

Solving for option (4)

m + 13 = 18 - 4

m + 13 = 14

m = 1

Thus, the equivalent expression is m + 13 = 18 - 4

Learn more about equivalent expression here:

https://brainly.com/question/22365614

#SPJ3

Find the equation of the linear function represented by the table below in slope-intercept form.
x 0 1 2 3 4
y -8 0 8 16 24

Answers

Answer:

y = 8x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

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

with (x₁, y₁ ) = (0, - 8) and (x₂, y₂ ) = (2, 8) ← 2 ordered pairs from the table

m = [tex]\frac{8-(-8)}{2-0}[/tex] = [tex]\frac{8+8}{2}[/tex] = [tex]\frac{16}{2}[/tex] = 8

The line crosses the y- axis at (0, - 8 ) ⇒ c = - 8

y = 8x - 8

I don't understand what I am supposed to do after I combine terms

Answers

I think you have to put all the fractions on one side of the equation and the x-terms on the other side. But I don't see an option for that...

Answer:

x = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] - 4x + [tex]\frac{7}{2}[/tex] = - 9x + [tex]\frac{5}{6}[/tex]

Multiply through by 6 ( the LCM of 3, 2 and 6 ) to clear the fractions

4 - 24x + 21 = - 54x + 5 , that is

25 - 24x = - 54x + 5 ( add 54x to both sides )

25 + 30x = 5 ( subtract 25 from both sides )

30x = - 20 ( divide both sides by 30 )

x = [tex]\frac{-20}{30}[/tex] = - [tex]\frac{2}{3}[/tex]

Two​ trains, Train A and Train​ B, weigh a total of 436 tons. Train A is heavier than Train B. The difference of their weights is 242 tons. What is the weight of each​ train?

Answers

Answer:

Train A: 238    Train B: 194

Step-by-step explanation:

436-242=194-436=-238

Flip the sign for 238 and you get your answer.

(This might not be correct)

4√3⋅10√12⋅√6⋅√2?
plz help!!! for algebra.

Answers

Answer:

480[tex]\sqrt{3}[/tex]

Step-by-step explanation:

4[tex]\sqrt{3}[/tex] · 10[tex]\sqrt{4}[/tex][tex]\sqrt{3}[/tex] · [tex]\sqrt{3}[/tex][tex]\sqrt{2}[/tex] · [tex]\sqrt{2}[/tex] = 4 · 10[tex]\sqrt{4}[/tex][tex]\sqrt{3}[/tex][tex]\sqrt{3}[/tex][tex]\sqrt{3}[/tex][tex]\sqrt{2}[/tex][tex]\sqrt{2}[/tex]

= 40 · 2 · 3 · 2 · [tex]\sqrt{3}[/tex]

= 480[tex]\sqrt{3}[/tex]

If A=(1 2 3), find 2 A?​

Answers

Answer:

Remove parentheses

Step-by-step explanation:

A= 123

-4(5+20)=16. S+20=-4. S=

Answers

Answer:

s = -24

Step-by-step explanation:

-4(-24 + 20) = 16 TRUE

-24 + 20 = -4 TRUE

(Are there any options for the missing description bit? I'm a little confused what needs to be answered there)

Other Questions
Help help help quickly How can the healthcare professional prepare for working with various age groups A car traveling due north at 60 km/hr increased its velocity to 80 m/s due south in 20 seconds. Draw i) speed against time graph, ii) acceleration against time graph. PRETTTTYYYYYYYYYYY PLS HELP ME RN Please help me with this MATH question. How do the citizens help to increase national glory? What was the thought process of pushing the boundaries of impressionism to include fantasy? . What were the factors responsible for the change of dead organic matter into fossil fuels? Who had the biggest input on European thought Together, 2 apples have 1/5 gram of fat. How many apples have a total of 4 grams? PLZ HELP..Are the following set of numbers a Pythagorean triple? 101,20,99 The fact that the sampling distribution of the sample mean can be approximated by a normal probability distribution whenever the sample size is large is based on the _____. There should be 2 paragraphs in this text. Select where the second paragraph begins.This upcoming half-term trip is to go and see the smash-hit show "Die Hard: The Musical" at the Palace Theatre in London. The show features Clive Owen in the lead role of wisecracking hero John McClane, with Tom Hardy as the slick, super-villain Hans Gruber. Tickets, travel and lunch will cost 25, and students wishing to join the trip must sign up by the end of this week. Although priority will be given to students, college staff are encouraged to sign up for the trip and fill any remaining spaces. make me brainlesst answer What is a knoll meaning Find the first three harmonics of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 50.0 N. HELP PLEASE DUE IN 40 MINS! evans uncle bought 2 1/4 pounds of hamburger meat and used 1/3 of it to make lunch. How much hamburger meat did evans uncle use to make lunch? ASAP!!!We will not speak of the innumerable instances in which wasteful and idle men live upon the earnings of industrious wives. Nor shall we speak of situations in which wives leave their husbands, and take with them the children, to perform the double duty of mother and father. And after doing so, they are then followed from place to place, and threatened to be robbed of their children. These wives are accused of depriving the so-called rights of a husband. The husbands, claiming their rights, plant themselves in their poor lodgings, frighten them into paying tribute by taking from them the children, and run these overtasked women into debt. Such instances add up by scores within my own memory. I have seen the husband who had stained himself by a long course of low vice, till his wife was wearied from her heroic forgiveness. His treachery made any effort to forgive him useless. To be able to provide bread for herself and her children, she had to be separate from his ill fame. I have known this kind of man to install himself in the chamber of a woman who loathed him and say she should never take food without his company. I have known these kinds of men to steal their children, whom they knew they had no means to maintain, take them into corrupt company, and to expose them to bodily danger, just to assert their power over their wives. And these women, who alone have borne the pangs of birth, and nourished their infancy, are denied equal rights to parent and protect them. I do believe that this mode of kidnappingand it is frequent enough in all classes of societywill be by the next age viewed as it is by Heaven now. I believe that the man who avails himself of the shelter of men's laws to steal from a mother her own children, or claim any superior right in them, save that of superior virtue, will bear the stigma he deserves. Just like the man who steals grown men from their motherland, their hopes, and their homes.What does paragraph 1 suggest about Fuller?She is scornful of women who repeatedly excuse their husbands immoral and criminal behavior.She feels men abuse their power to control those without rights, such as women and enslaved persons.Fuller is against the institution of marriage because it does not benefit women.Fuller demands severe consequences for men who cannot financially support their families. What is the equation of the line that passes through the point (-3,-6) and (2,-2)