Mathematics Middle School

In the diagram below, DF = JL = a, FE = LK = b, and triangle DEF is a right triangle.
Use the drop-down menus to complete the proof that if the equation a² + b2 = c2 is true of
the side lengths in triangle JKL, then triangle JKL must be a right triangle.

In The Diagram Below, DF = JL = A, FE = LK = B, And Triangle DEF Is A Right Triangle.Use The Drop-down

Answers

Answer 1

ΔDEF and ΔJKL are congruent to each other.

.

What is Congruency?

Congruent triangles are triangles that have the same size and shape

This means that the corresponding sides are equal and the corresponding angles are equal.

Given

DF = JL = a, FE = LK = b, ΔDEF is a right triangle.

As Pythagoras theorem can be used in ΔDEF.

Also  ΔJKL Hence angle K is the right-angle.

As, ∠F = ∠L = 90°,

         DF = JL = a,

       FE = LK = b

Hence, ΔDEF and ΔJKL are congruent to each other.

Learn more about this concept here:

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Related Questions

Can you please explain how you got the answer? Thank you.

Answers

Answer:

The answer is 3386880

Step-by-step explanation:

Volume = 1/3a²h

Volume = 1/3*252²*160

Volume = 1/3*63504*160

Volume = 21168*160

Volume = 3386880 yards³

Please Answer this Correctly For Brainiest!

Answers

Answer:

78%

Step-by-step explanation:

There are 18 games in total. 14 of them have 77 - 92 points scored in them. Divide 14 by 18 to get approximately .7778, then multiply by 100 to get approximately 77.7778, which can then be rounded to 78%.

Answer: 78% because I took it

I know this is kinda easy but I don’t know and don’t have a lot of time

Answers

D
Icndndndjdjdjedjenbdbd

:(((( plz helpppp i dont get it

Answers

We could solve problems like these by plugging in values

Let’s start with A

y = 94x

Let’s use 5, 15, 25 from the table

94(5) = 470
94(15) = 1410
94(25) = 2350

Next, B

y = 5x

5(5) = 25

This is wrong

Next, C

y = x + 470

Let’s try 5

475 = 5 + 470

Close, but wrong

Next, D

10 = 5 + 5

This is wrong, so the answer is A.
the answer is y=94x. pls give brainliest

ReWaRding brainliest
What is the absolute value of –9?


–9

–3

3

9

Answers

Answer:

9

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Absolute value is how far a number is from 0 on the number line. Regardless of negative or positive, -9 is 9 spaces away from 0, therefore the answer is 9.

Please give me brainliest if I helped!

There is 1/4 of a birthday cake left over. If 4 friends share it equally, what fraction of the entire cake will each friend receive?

Queda 1/4 de la tarta de cumpleaños. Si 4 amigos lo comparten por igual, ¿qué fracción de todo el pastel recibirá cada amigo?

Answers

Answer:

they both get 0.5% or 1/8 pieces

Step-by-step explanation:

Last question for this part pls help thank you - no bitly

Answers

C) today’s soup will taste the same

Explanation: first divide 9 by 12 to get 0.75 or 75%. Then divide 6 by 8 to get 0.75 or 75%. Because they have the same percentage, the soup will be the same
scsjdb and bobs hebdid is d item

Consider this cylinder.

A cylinder with height 12.5 centimeters and radius 5 centimeters.

Use the formula for the volume of a cylinder to answer the questions.

Cylinder V = Bh

What is the area of the base of the cylinder?

Pi cm2
What is the volume of the cylinder?

Pi cm3

Answers

Answer: 25 and 312.5

Step-by-step explanation:

Answer

Both C

Step-by-step explanation:

edgy

Help me pleaseeeeeee

Answers

everything except the last two, I think.

help please i dont get it ( i dont pay attention in class...)

Answers

Answer:

Okay, I won't give the answers... HOWEVER, I will show you how to get them yourself! :>

Step-by-step explanation:

A triangles area is essentially half of a square. In my math class, we would multiply the main base, and the height and then proceed to break it in half. For example;

TRIANGLE ONE-- 16 x 16 =__ then cut your answer in half

Hope I helped you out! ~Chaos

I don’t think u divide because u would get 16 again just times the number inside by 2

Stephanie took out a loan from her bank that charges 8.5% interest. If she borrowed $10,000 for 20 years, what is the total amount that she will have to pay the bank?

Answers

Answer:

10 850

Step-by-step explanation:

First, take 8.5% of 10 000, which is 850.

Then that plus what she already had to pay equals 10 850.

Answer: something like 10 850 probably

Jeff bought a bottle of water for $2. He also bought some hot dogs for $3 each. Jeff did not spend more than $14 on the hot dogs and the bottle of water. Witch inequality can be used to find h, the number of hot dogs that jeff could have bought. (If you answer I'll give you a brainilst;))

F. 3h-2<≤4
G. 3h+2≤14
H. 3H-2≥14
J. 3h+2≥14

Answers

Answer:

3H - 2 ≤ 14 I believe.

If i'm wrong forgive me

Answer:

G: 3h+2[tex]\leq \\[/tex]14

Step-by-step explanation:

He could've spent 14 dollars, or less, so the sign is the less than, equal to sign. The 3h represents the cost of hot dogs times the number of hot dogs. The represents the cost of the water bottle. It is addition because he purchased both the water bottle and hot dogs.

Please please please please help me:
I WILL GIVE BRAINLIEST TO BEST ANSWER AND 5 STARS AND IT IS WORTH 20 POINTS

Answers

Answer:

Second option is correct one (9,3/2)

Value of x=9

Value of y

2y=x-6

By substituteing value of x

2 y=9-6

2y=3

Y =3/2

(x,y)

(9,3/2)

request :- If you are helped with my answer pls tag me brianliest I really want it... Plzz

THANK YOU............. Pls see to my request

Answer:

9 3/2

Step-by-step explanation:

substitute the given value of X into the equation 2y=X-6

2y=9-6

solve for y

y=3/2

The possible ordered pair of the system is the ordered pair (x,y)

(x,y)=(9, 3/2)

check the given ordered given pair is the system of equations

2 ×3/2=9-6

simplify the equality

9=9

3=3

since all the equalities are true,the ordered pair is the solution of the system

(x,y) =(9 3/2)

Which expression is equivalent to the expression: -3(4x-2)-2x
A.) -8x
B.) -16x
C.) -14x - 2
D.) -14x + 6

Answers

Answer:

The answer is D.

Step-by-step explanation:

-3(4x) = -12x, -3(-2) = -6, and then we have -2x. -12x - 6 - 2x simplified is

-14x - 6.

Help me with this plz asap

Answers

Answer:

R

Step-by-step explanation:

It’s R that will be your answer.

Debbie did a survey of how many states the members of her class had visited. The
results were: 10, 15, 23, 2, 21, 31, 14, 10, 8, 17, 11, 19, 8, 42, 15, 22, 6, 34, 19,3, 24.
What is the five-number summary for this set of data?

NO LINKS

Answers

I never lead this in school and I’m in high school almost a. Senior

Help plz .......................

Answers

Step-by-step explanation:

hope this helps ..........

Answer:

Look at the image.

Step-by-step explanation:

0.25(4x - 24) + x = 14

x - 6 + x = 14

2x - 6 = 14

2x - 6 + 6 = 14 + 6

2x = 20

2x ÷ 2 = 20 ÷ 2

x = 10

A picnic basket was marked up 95% from an original cost of $9.57. Last Friday, Rosanne bought the picnic basket and paid an additional 8% in sales tax. What was her total cost?

Answers

Answer: $10.60

Step-by-step explanation:

Turn 95% into a decimal then add $9.57, then turn 8% into a decimal then add all of the numbers together.

I'm not sure if this is right, I did it on my own.

The total cost to be paid is $20.15

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Original cost =  $9.57

Markup= 95%

So, the new cost of the basket

=95/100 x 9.57

=0.95 x 9.57

=$9.0915

Thus, the cost of the basket is

= 9.57+9.0915

=18.66

Also, the sales tax is 8%

=8/100 x 18.66

=0.08 x 18.66

=1.4928

Therefore, the total amount to be paid is

=18.66+1.4928

=$20.15

Learn more about Percentage here:

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helpppppppppppppppppppppppppp

Answers

Answer:

F

Step-by-step explanation:

So lets use the process of elimantion to find the answer.

Firs off, we can tell that this is a greater/less than or equal to inequlaity, since there is a inclosed circle, not a open one. So this leaves the top left answer and bottem right answer.

Now, we can see that the graph is from 0-15. X is at 7.

This means its x+8, because the x would be smaller, or possibly even negatibe on this graph.

My theory that can better support my annwer is if we solve for  x:

x+8=15

We can subtract 8 from both sides:

x=7

And as we can see on the inequality, x is at 7 in the graph.

Hope this makes sense and helps!

answer the 4 simple questions ( will give thanks, 5 stars, and brainliest )

Answers

1. x<10
2.x>5
3.x> or equal to 3
4.x

HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPP ME!!!!!!!!!!!!!

Answers

Answer:

i think that is 4

Step-by-step explanation:

fydxudugxxfjg

V = l • h • w

V = 4 • 1 • 1 = 4

Math question for you math genesis

Answers

Answer:

Paul: 0.40m + 68.00

Harper: 0.65m + 23.00

Step-by-step explanation:

M here represents the amount of miles. So, if you add it to the equation, you get the total cost. For example if I wanted to hire Paul for 2 miles, it would be 0.40(2) + 68.00

0.40(2) = 0.80

0.80 + 68 = 68.80

It would be $68.80 for 2 miles.

Say that Jaxon has to transport his food 9 miles. Paul’s Pick-Up $3.60 for the 9 miles + the $68.00 flat fee which would add up to $71.60. Whereas Harper’s Haulers would charge $5.85 for a 9 mile transport + the $23.00 flat fee which would add up to $28.85. Overall, Harper’s Haulers would be the cheaper decision.

Can someone please help me with this question?
Equivalent To 1 Atomic Mass Unit
8.3⋅10^-24 = carat
1.66⋅10^-21 = milligram
A carat = _______ atomic mass units and
A milligram = ________ atomic mass units and
_______ > _______
Please help me fill in the blanks the choices are -
6.02 ⋅ 10^-22
6.02 ⋅ 10^20
1.2 ⋅ 10^ -25
1.2 ⋅ 10^23
Please help me fill in the blanks, I'll give brainliest.

Answers

Answer:

dont know

Step-by-step explanation:

Question + Diagram in picture
will give brainliest to correct answer

Answers

Answer:

2.64 cm

Step-by-step explanation:

The length of CD is 2.64 cm

2.64 is the answer.

HELP! DUE TODAY! PLEASE!

Answers

what’s the question??
what’s the question to that?

Can someone help me with my homework...? Its about graphing functions and tables, I'll post it right now! But can someone who knows this stuff please help me :(

Answers

Answer:

sure where is the attachment?

Step-by-step explanation:

Answer:

if you can show a picture i might be able to help you

Help question is in the pic PLEASE EXPLAIN HOW YOU GOT THE ANSWER!

Answers

Answer:

Correct me if im wrong but i believe you just multiply all the sides by each other :)

Step-by-step explanation:

Answer:

i think you just multiply all the sides by each other in the order of length*width*height

Step-by-step explanation:

** means times (multiplication)

I got 240 so I just need to double-check that. I also need to explain why it's 240 mins? Maybe an expression? Help

Answers

Let’s find the slope of this equation

Slope formula:

(y2-y1/x2-x1)

Plug things in

(-3000-0/20-0)

(-3000/20)

Condense the fraction

Slope = -150 or lowering 150 feet per minute.

Let’s get point slope form, add in some points.

Point slope form:

y - y1 = -150(x - x1)

Plug things in

y - (-3000) = -150(x - 20)

y + 3000 = -150x + 3000

Subtract 3009

y = -150x

Plug in -36000 for y

(-36000) = -150x

Divide by -150

x = 240

You are correct, it took 240 minutes.

46. A holiday resort in Tasmania reduced its overnight rates from 233 to 159.

Answers

The link takes you to it

49. Dave invests 8000 in the stock market only to see his shares plummet in value to 2020.
Find the amount of Dave's loss.

Write the absolute value amount.

Answers

1,940 is the absolute value amount
1,940 is your answer i hope that helped you
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