what information is needed to prove the triangles are congruent using the Hypotenuse-Leg theorem
5. and 6.​

What Information Is Needed To Prove The Triangles Are Congruent Using The Hypotenuse-Leg Theorem5. And

Answers

Answer 1
The answer is 45 ok for real
Answer 2

The required triangle KLM and triangle QPR has been proved congruent with Hypotenuse-Leg theorem.

What are Pythagorean triplets?  

In a right angled triangle, its side, such as hypotenuse, perpendicular and base  is Pythagorean triplets.


From triangle KLM and QPR,
KM = QR
LK = PQ

Square and subtract above equations,
KM² - LK² = QR² - PQ²   - - - - - (1)

From Pythagoras theorem,
hypotenuse ² = perpendicular² + base square,


For triangle KLM
KM²  = LK²  + LM²
KM² - LK² =  LM²  - - - - -(2)


For triangle QPR,
QR² = PQ² + PR²
QR² - PQ² = PR² - -- - - - (3)

From equation 2 and 3 put value in equation 1
LM² = PR²
LM = PR

Thus, triangle KLM and triangle QPR proved  to be congruent. And the theorem is Hypotenuse-Leg theorem.

Learn  more about Pythagorean triplets here:

brainly.com/question/22160915

#SPJ5





Related Questions

A recipe for a loaf of bread calls for 2/3 of a cup of flour. If Milo used 12 cups of flour, how many loaves of bread did he prepare?
A. 18 B. 16 C. 15 D. 12 E. 8

Answers

Answer:

8

Step-by-step explanation:

12 * 2

3

= 24

3

= 8

Therefore the answer is E. 8

Answer: The answer is D 12 i am pretty sure.

find the value of x plz

Answers

Answer:

6.5 or

Step-by-step explanation:

i believe thats the answer but im not the best with this

type of math so umm i tried  but i just added them simplified

What is 28.6 - 0.975 and I need an explanation...

Answers

Answer:

27.625

Step-by-step explanation:

I hope this helps

Answer:

27.625

Step-by-step explanation:

so 28.6 is 28.600.

this means that this will be:

28.600

-00.975

I have attached an image of the solution and how it can be solved.

write the perpendicular to 2x-y=6 through the point (2,-1)​

Answers

Answer:

y=[tex]-\frac{1}{2}x[/tex]

Step-by-step explanation:

I need y’all please help me 5

Answers

Answer:

Yes

Step-by-step explanation:

She could have because she wants to rent it for 3 hours, and they charge $2 for each hour.

3*2=6

Add the $10 fee. 6+10=16

$16.

She has enough money because she paid less than $27

-(-10x-8)=-(4x+10)
A)-4
B)-2
C)-3
D)3
show work

Answers

Answer:

            None of given                  x = -1²/₇

Step-by-step explanation:

-(-10x - 8) = -(4x + 10)

  10x + 8 = -4x - 10

      -8            -8

     10x  =  -4x - 18

      +4x     +4x

     14x = -18

      ÷14    ÷14

      x = -¹⁸/₁₄ = -⁹/₇ = -1²/₇

I think you meant -(10x-8)=-(4x+10)

Then:

-(10x - 8) = -(4x + 10)

  -10x + 8 = -4x - 10

      -8            -8

     -10x  =  -4x - 18

       +4x     +4x

     -6x  =  -18

      ÷(-6)    ÷(-6)

        x = 3     D)

Find the y and x and the given slope of the given line: Line E.​

Answers

Answer:

change in y: 0

change in x: 5

slope: 0

Step-by-step explanation:

Sub these two points from Line E into the gradient formula (you can search this up on the internet) and you would get 0/5

Points: (1,3) and (6,3)

Rise over run

3-3 over 6-1

0/5 and the answer is 0

Generally, when it asks you to find the slope of a horizontal line, its always 0

The triangles shown below must be congruent.
45°
45°
12
45°
45°
12
O A. True
B. False

Answers

Answer:

I believe the answer is True

Hope this Helps!

The triangles shown below must be congruent is True statement.

What is Congruency?

Two geometric figures are said to be congruent, or to be in the relationship of congruence, if one can be superimposed on the other and they correspond throughout.

As, Two triangles are congruent if their two angles and included sides are equivalent to the other triangle's two angles and included side.

Confirm that the triangles are congruent:

Both of the triangles given are right-angled triangles.

The included side between the angles 45° and 90° in both triangles is 12 units.

This is a necessary condition for the ASA congruence rule.

Thus, the given statement is True statement.

Learn more about congruence of triangles here:

brainly.com/question/36879

#SPJ5

6х + 7 = 4х + 13 Solve for X​

Answers

Answer:

x = 3

Step-by-step explanation:

subtract 7 from both sides, then subtract 4x from both sides after

6x +7 = 4x + 13

     -7              -7

6x = 4x +6

-4x   -4x

2x = 6

divide both sides by 2x

answer x =3

The answer is x=3

6x+7=4x+13
-4x -4x
2x+7=13
-7 -7
2x=6
/2. /2
X=3

thank u so much much appreciated

Answers

Answer:

A

Step-by-step explanation:

The definition of a parrelelogram is "a four-sided plane rectilinear figure with opposite sides parallel". Since you already know that EH and Fg are equal because of the black ticks on them. Now you only need to find out wheter or not  EF≅HG to meet the criteria of a parrelologram.

Answer:

Step-by-step explanation:

A

please answer asap!!

Answers

(7,21)



i’m pretty sure that’s right

Answer:

k = 3

Step-by-step explanation:

Assuming the values in the table are in direct proportion, then

y = kx ← is the equation relating x and y with k the constant of proportion, thus

k = [tex]\frac{y}{x}[/tex]

To find k substitute (28, 84 ) into the equation

k = [tex]\frac{84}{28}[/tex] = 3

What is the slope of the line 4x - 2y = 5?

Answers

Answer:m=4/2

Step-by-step explanation:

u subtract 4 to get y alone

then u dived by a -2y to get y alone

then u u get y=-4/2x-5

a number is greater than or equal to -4

Answers

Answer:

n[tex]\geq[/tex]-4

Answer: x ≥ -4

Step-by-step explanation:

Since an unknown number is greater than or equal to -4, it would be written as x ≥ -4. Some numbers greater than or equal to -4 include -4, -3, -2, -1, 0, and 1.

If f(x) = (1/8)(8^x), what is f(3)?

Answers

Answer and work down below. Let me know if you have any questions

Answer:

64

Step-by-step explanation:

f(3)=64

Subtract the difference of a and 2 from 7

Answers

Answer:

7-(a-2)

Step-by-step explanation:

Please help me solve this!

Answers

Hope this help you :)

Which of the following is an expression? *
4x = 12
25 - 12 = 13
7x - 3 + 2y =29
3m

-71 points-

Answers

Answer:

3m

Step-by-step explanation:

An expression does not have an equals sign

An equation has an equals sign

4x = 12   equation

25 - 12 = 13   equation

7x - 3 + 2y =29   equation

3m  expression

A use bike costs $75 a new one costs $300. how many times more expensive is a new bike compare with a use bime

Answers

Answer:

300-75=225

Step-by-step explanation:

The proportionality constant is k = 4

The cost of the new bike is 4 times the cost of used bike

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportionality constant be represented as k

Now , the cost of used bike A = $ 75

The cost of new bike B = $ 300

The proportionality constant k = cost of new bike B / cost of used bike A

Substituting the values in the equation , we get

The proportionality constant k = 300/75

The proportionality constant k = 4

Therefore , the new bike is 4 times the cost of used bike

Hence , the proportionality constant is 4

To learn more about proportion click :

https://brainly.com/question/7096655

#SPJ2

Which number is equivalent to the fraction 14/5?
A. 1 9/5
B. 2 4/5
C. 2
D. 3

Answers

The answer would be (B) 2 4/5

Answer:

B. 2 4/5

Step-by-step explanation:

How much is 25 pens for $19.75.

Answers

Answer:

$493.75

Step-by-step explanation:

25 × 19.75 = $493.75

I hope this helps!

$0.79 per pen
$19.75/25pens = $0.79

Is it possible to create a regular tessellation using a regular decagon? Explain. Yes, 2 decagons with a common vertex will have interior angle measures that sum to 360. Yes, 3 decagons with a common vertex will have interior angle measures that sum to 360. Yes, all of the angles and sides of each decagon are congruent. No, a tessellation of 2 decagons will have a gap, and a tessellation of 3 decagons will overlap.

Answers

Answer:

The answer on edge 2020 is D.No, a tessellation of 2 decagons will have a gap, and a tessellation of 3 decagons will overlap.

Step-by-step explanation:

I took it and passed!

Answer:

D is right on edge

Step-by-step explanation:

just did it

plss answer asap i will give brainliest

Answers

Part (a)

Answer:   -2

-----------

Explanation:

Draw a vertical line through -2 on the x axis. This vertical line will cross the blue parabola at some point P. From point P, draw a horizontal line to the y axis. You should arrive at y = -2. Figure 1, in the attached diagram below, shows this process.

================================================

Part (b)

Answers:    x = -3 or x = 1

-----------

Explanation:

Draw a horizontal line through y = 1 on the y axis. This is because y = f(x).

This horizontal line crosses the parabola at two places. Drop a vertical line straight down to the x axis to note the x values that make f(x) = 1 true.

You should find the solutions to be x = -3 and x = 1

See figure 2.

which property is needed to solve x/5=13

Answers

Answer: Multiplication property of equality

This is the idea that if a = b, then a*c = b*c for any real numbers a,b,c

It allows us to multiply both sides by the same number.

In this case, we multiply both sides by 5 to get

x/5 = 13

5*(x/5) = 5*13 ... multiplying both sides by 5

x = 65

identify each letter of the slope intercept equation y=m×+b​

Answers

Answer:

mx is your slope and b is your y-intercept

Step-by-step explanation:

Convert 3 4/5 to a percent

Answers

3 4/5 as a percentage would be %380

Answer:

380 %

Step-by-step explanation:

3 × 100 = 300

4/5 × 100 = 80

300 + 80 = 380 %

Determine a and b so that figure ABCD is a parallelogram

Answers

Answer:

C(8,2)

That is the answer for a and b

this hard:( i need help :(

Answers

Answer:

[tex]33,680 cm^2[/tex]

Step-by-step explanation:

The formula needed for this problem is..

[tex]S.A=2(l*w)+2(l*h)+2(w*h)[/tex].

Given that;

The height of the door= 200cm

The length of the door= 3cm

The width of the door= 80cm

Now, substitute the formula with the information given.

[tex]S.A= 2(3*80)+2(3*200)+2(80*200)[/tex]

[tex]S.A= 2(240)+2(600)+2(16000)[/tex]

[tex]S.A= 480+1200+32000[/tex]

[tex]S.A= 33,680 cm^2[/tex]

Solve for a.
7a + 18 = 102
a =

Answers

Answer:

a=12

Step-by-step explanation:

7a+18=102

first, subtract 18 FROM BOTH SIDES!

then you get 7a=84.

next, divide BOTH SIDES by 7

and you get a =12 :)

The Tradewinds Shipping Company charges $15 flat fee plus $5 per pound to ship an overnight package. The Lucy Lu
Shipping Company charges $30 flat fee plus $2 a pound to ship an overnight package.
For what weight is the charge the same for the two companies?

Answers

Answer:

$52

Step-by-step explanation:you add them together

Answer:

the weight for both companies to be the same is 5 pounds

Step-by-step explanation:


Jordan is five years older than twice Amanda's age. Their combined age is 38 years.
What is Jordan's age?

Answers

Answer:

  27

Step-by-step explanation:

Let a represent Amanda's age. Then Jordan's age is 2a+5, and the combined ages are ...

  a +(2a+5) = 38

  3a = 33

  a = 11

So, Jordan's age is ...

  2(11) +5 = 27

Other Questions
Write the following numbers in scientific notation.Type your answer using one of the following formats:1.2e-3 for 0.00121.20e+2 for 120.(a) 0.000 589 0(b) 50 000.0(c) 0.000 007 050 Determine whether the following events are mutually exclusive.Roll a die. Get a prime number and get an odd number. Which choice best describe the titan of the Which is the strongest correlation? A)-.76 B)1.12 C).56 D).00 E)-.12 PLS HELPA marble rolls off a table with a horizontal velocity of 8 m/s and the cliff has a height of2.71 m. How far does the marble land from the base of the table? Round your answer totwo decimal places. How did trade and the pilgrimage make the city important to the Arabs? standard form 2.150 into word form?? When should students practice netiquette in an online course? Check all that apply. - when sending texts to friends- when sending emails to classmates - when collaborating in library study groups- when participating in online discussion boards- when collaborating as part of a digital team List at least THREE ways how the Europeans mistreated the Native Americans Please help, must be in the preterite how did increase availability of land in the colonies create a space for political cultural experimentation True or False: A method of creating a geometric figure that is mathematically precise by using a compass andstraightedge is called drawing or copying. Miller Corporation has a premium bond making semiannual payments. The bond has a coupon rate of 8 percent, a YTM of 6 percent, and 12 years to maturity. The Modigliani Company has a discount bond making semiannual payments. This bond has a coupon rate of 6 percent, a YTM of 8 percent, and also has 12 years to maturity. Both bonds have a par value of $1,000. What is the price of each bond today? (Do not round intermediate calculations. Round your answers to 2 decimal places, e.g., 32.16.) Price of Miller bond $ 1169.36 Price of Modigliani bond $ 847.53 If interest rates remain unchanged, what do you expect the price of these bonds to be 1 year from now? In 3 years? In 7 years? In 11 years? In 12 years? Which of the following types of business ownership has the highest personal liability risk? A. A partnership B. A sole proprietorship C. AC corporation D. An LLC Please select the best answer from the choices provided. A portion of land can best be described as a __________. A. state B. territory C. boundary D. physical feature Help ASAP 10 points please Find the quotient of 1 1/5 and 3 4/5 Help me pleaseJsjejjrhjdososjhsxbxhxjdhdsh Incoming students at a certain law school have an average LSAT score of 163 and a Standard Devation (SD) of 8. Tomorrow, one of these students will be picked at random. You have to guess the score now; the guess will be compared to the actual score, to see how far off it is. Each point off will cost a dollar. (For example, if the guess is 158 and the score is really 151, you will have to pay $7).A) Is the best guess 150, 163, or 170?B) You have about 1 chance in 3 to lose more than ______. (LSAT scores range from 120 to 180; the average across all test-takers is about 150 and the SD is about 9. The test is re-normed from time to time, the data are for 2005). a. $1.b. $8.c. $20. [6(22+4)^2 - 2(19+3)^2]^0 what is the answer