If DEF is congruent to JKL, DE = 18, EF =23, DF = 9x-23, JL = 7x-11, and JK = 3y-21, find the values of x and y

Answers

Answer 1

Answer:

x = 6, y = 13

Step-by-step explanation:

if DEF is congruent to JKL, this means that the sides of JKL are all equal to that of DEF.

Hence we can say;

DE = JK

EF = KL

DF = JL

Given

DE = 18,

EF =23,

DF = 9x-23,

JL = 7x-11

JK = 3y-21,

Required

Values of  x and y

Since DE = JK;

18 = 3y-21

18+21 = 3y

39 = 3y

y = 39/3

y = 13

Also, DF = JL

9x-23 = 7x-11

collect like terms

9x - 7x = -11+23

2x = 12

x = 12/2

x = 6

Hence the value of x is 6 and y is 13

Answer 2

Given: [tex]DE=18[/tex],[tex]EF=23,DF=9x-23,JL=7x-11,[/tex] and[tex]JK=3y-21.[/tex]

As [tex]\Delta[/tex][tex]DE[/tex][tex]F[/tex]  [tex]\cong[/tex]  [tex]\Delta JKL[/tex]

[tex]\Rightarrow DE=JK \ ; EF=KL \ and \ DF=JL[/tex]

[tex]\Rightarrow 18=3y-21 \ ; 23=KL \ and \ 9x-23=7x-11[/tex]

     [tex]y=13[/tex]         ; [tex]KL=23[/tex]    and        [tex]x=6[/tex]

Therefore, [tex]x=6[/tex]  and [tex]y=13[/tex]


Related Questions

Cody's Aunt pays him $30 to walk her dogs 6 times at this rate how many times must he walk the dog in order to earn $100 ​

Answers

20 times
$5 = 1 walk
Divide 100 by 5 and you get 20

Which equation justifies why 9 1/3 = ∛9?
(9 1/3)³ = 9(1/3·3) = 9
(9 1/3)³ = 9(1/3+3) = 9
(9 1/3)³ = 9(1/3-3) = 9
(9 1/3)³ = 9(3-1/3) = 9

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Answer:

(91/3)3=9(1/3-3)=9

Step-by-step explanation:

Answer:

hows your day

Step-by-step explanation:

I need help plz help

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The answer is B!!! Good luck

Simplify the followingexpression (-5)(-3)(4)

Answers

Your answer would be 60.

A negative times a negative equals a positive. This means that -5 x -3 = 15.

Then you multiply that by four and get 60.

Hope this helps and have a nice day!!

2. Paula learned to play a total of 10 pieces over the course of 5 weeks of piano lessons. In all, how
many weeks of piano lessons will Paula need before she will be able to play a total of 18 pieces?

Answers

10pieces = 5 weeks , to get how long it takes for 1 piece do 5/10 = 0.5, so 1 piece = 0.5 weeks the multiply them both by 18 to get how many weeks it would be so 18 pieces = 9 weeks

How do you find
the rate of change of a function?

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divided by the change in the input values.

Answer:

xfghzfgfrxeshixeah

Step-by-step explanation:

LG's SSL looks sl lid

What value of x makes the equation 5(x - 3) + 2x = 41 TRUE?

Answers

Answer: x = 8

Step-by-step explanation: PLEASE GIVEBRAINLIEST IT HELPS ALOT

Answer:

x=8

Step-by-step explanation:

Follow the order of operations to simplify the equation:

5(x-3) +2x=41  

Start by multiplying into the parenthesis: 5x-15+2x=41

Combine like terms: 5x+2x-15=41 then simplify: 7x-15=41

Add 15 to both sides: 7x=56

Divide both sides by 7 to get x by itself: x=8

Hope this helps! (^-^)

Benjamin wants to buy a video game that costs $24, but he only wants to spend 40% of his savings. How much must Benjamin save in order to buy the game?

Answers

Answer:

14.4 there sorry for the wait

PLEASE HELP I WILL MARK BRAINLIEST
Find the area of a square with side length x when x is equal to the given value. Is the area of a square and the length of its side directly proportional? Justify your answer.

1. x=15 ft.
2. x=10 in.
3. x=3 in
so can you figure out the correct answers for 1,2 and 3? You have to figure out what the area of the square is for each value and you need to figure out if the area of the square and the length of its side is or is not directly proportional to quantities.

Answers

Answer:

1. 15*15

2. 10*10

3. 3*3

Step-by-step explanation:

Answer:

Square the given value

Step-by-step explanation:

1. 15^2=225

10^2=100

3^2=9

A square has sides of EQUAL length. area is length times width. So, if each side is the same, square the given value.

PLS SOLVE!!!!! THANK YOU!!!!!

Answers

Angle Goe is a right angle so 90° therefore to get y the equation would be 3y+27=90 solve to get y sorry I don’t have a pencil or paper to get s you do 9x+18+the number that equals y = 180 that might be confusing sorry

A store sees 138 customers in 8 hours. What is the unit rate (in customers per hour)?

Answers

Answer:

Step-by-step explanation:

138/8 = 17.25

If f(x) = 4x2 – 3x + 7, what is f(-2)?

Answers

Answer:

29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Assuming that you meant the first term to be 4x² then you just plug in -2 to all of the x-values in the function

4x – 3y = 11
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Answers

Answer:

y=-17 x=10

Step-by-step explanation:

4x-3y=11

8x+2y=46

8x-6y-22                                                      8x+2(-17)=46

8x+2y=46                                                     8x-34=46

2y-6y        46-(-22)                                            8x=80

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In a basketball tournament, Team A scored 5 fewer than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Write an equation to represent this scenario using the variable b to represent Team B’s total points.

Translate the scenario.

Team A =
Team B =
Team C =
The equation representing this scenario is
.

Answers

Answer:

Team A = 449

Team B = 227

Team C = 307

Equation is

(2b-5) + b + (b+80) = 983

simplyfying

4b+75 = 983

Step-by-step explanation:

Take 4b+75 = 983

b = (983 - 75)/4 = 227

now

Team A = 5 less than twice as many as team B = 2b - 5 = 2 *227-5 = 454-5= = 449

Team B = b = 227

Team C = 80 more than team B = b+80 = 227+80 = 307

or you can just subtract 983 - (Team A +Team B)

Answer:

Team A = 449

Team B = 227

Team C = 307

Equation is

(2b-5) + b + (b+80) = 983

simplyfying

4b+75 = 983

Step-by-step explanation:

the other persons answer

I am being timed. Hurry please but take your time.
An unknown fractors is between 0 and 1. Which is true about the equivalent percent and decimal?
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B. O The percent and decimal are greater than 1 and less than 100.
C. O The percent is between 0 and 1, and the decimal is greater than 0 and less than 100.
D. O The percent is greater than 0 and less than 100, and the decimal is between 0 and 1.

Answers

Answer: D. The percent is greater than 0 and less than 100, and the decimal is between 0 and 1.


Laura is saving money to buy a bike. She has $52 and is going to save an additional $8 each week. The bike costs $164. In how many
weeks will she have enough money to buy the bike?

Answers

14 weeks
164-52=112
112/8=14

Answer:

I would say 14 weeks.

Step-by-step explanation:

I solved it by subtracting what she already has from the price of the bike. $164-52= 112. Then I divided that by 8 cause she saving $8 a week and you get 14. So in 14 weeks she'll have enough money to buy the bike.

Greatest common factor for 3,27, and 33

Answers

Answer:

it's 3.

Step-by-step explanation:

Here's why........3 only has 2 factors 1 and it's self and 3 times 9 is 27 and 3 times 11 is 33 they all have 3 as a factor.

Someone help me please


Express the cosine of < W as a ratio of the given side lengths.

Answers

cosine of W is 5/13

• The height of a particular species of tree, in feet, r years after it is planted can be modeled by the
linear function h(x) = 5.27 +3.12x. Which of the following best interprets the y-intercept of the
linear model?
a. The average height of the species when planted is 5.27 feet.
b. The average height of the species when planted is 3.12 feet.
c. The species of tree grows by an average height of 5.27 feet per year.
d. The species of tree grows by an average height of 3.12 feet per year.

Answers

I think it’s gonna be B

Please help me, thanks!

Answers

Answer:

Algebraic expression for 75 less than twice Mabel's score is 2m-75

Step-by-step explanation:

We need to translate the phrase 75 less than twice Mabel's score into algebraic expression.

Translating into algebraic expression

Let m represent Mabel's score

Twice Mabel's score = 2m

75 less than Twice Mabel's score = 2m-75

So, algebraic expression for 75 less than twice Mabel's score is 2m-75

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Answers

Answer:

the value of y is 3 more than twice x

Step-by-step explanation:

we find the slope is 2 because 4/2=2

y=2x+b

we put in the first point (1,5)

5=2+b

b=3

y=2x+3

Answer:

i think its c

Step-by-step explanation:

because 4 times 1 is 4 and if u add 1 than u get 5 which is y

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How many integers are between - 6,01 and 7.75?

13

14

15

16

Answers

Answer:

14 integers

Step-by-step explanation:

Given

[tex]Range: -6.01\ to\ 7.75[/tex]

Required

Determine the number of integers

Integers implies numbers without decimals; it could be positive or negative or 0.

So, within the range: the integers are:

[tex]-6, -5, -4,-3,-2,-1,0,1,2,3,4,5,6,7[/tex]

Notice that the above numbers are integers within the given range.

By counting them, we get the required number of integers.

[tex]Numbers = 14[/tex]

Hence, there are 14 integers

CHECK MY ANSWERS PLEASE!!


1. If OQ and RT are parallel lines which statement is true?
A) OPS is congruent to RSU
B) OPS is congruent to RSP (my answer)
C) OPS is congruent to OPN
D) OPS is congruent to TSU
-----------------------------------------
2. If OQ and RT are parallel lines which statement is true?
A) RSP is congruent to RSU
B) RSP is congruent to PST
C) RSP is congruent to TSU
D) RSP is congruent to OPS (my answer)

Answers

Answer:

1. A) OPS is congruent to RSU

2. C) RSP is congruent to TSU

Step-by-step explanation:

1. Since OQ and RT are parallel lines that are cut across by the transversal line, NU, therefore, angle OPS and angle RSU are corresponding angles formed. Corresponding angles are congruent.

✅Therefore: A) OPS is congruent to RSU. OPTION A IS TRUE.

❌OPS and RSP are consecutive interior angles. They are not congruent. They are supplementary. So, option B is NOT TRUE.

❌OPS and OPN are linear pair angles. Linear pair angles are not congruent. They are supplementary. Therefore, OPTION B IS NOT TRUE.

OPS and TSU are also not congruent.

2. Angle RSP and angle RSU are vertical angles. Vertical angles are congruent. Therefore, the statement that IS TRUE is:

C) RSP is congruent to TSU

Wich calculation will ALWAYS have a result greater than 1​

Answers

Step-by-step explanation:

number less than 1 B.4/9+ a fraction less than 12 C. 1 3/4 - a fraction less than 3/4 D.7/8 a number less than 1

Use fives fact to help you solve 7 x 6. Show your work using

Answers

7 x 6 = 7 x 4 = 28
/ \ = 7 x 2 = 14
4 2 + __
42

Using the "fives fact" (5 x 6 = 30) as a starting point, we added one more group of 6 to reach the final result of 36.

To use the "fives fact" to solve 7 x 6, we can break it down into simpler calculations using the fact that 5 x 6 = 30.

Here's the step-by-step calculation:

1. Start with the "fives fact": 5 x 6 = 30.

2. Since we need to find 7 x 6, we can add another 6 to the result of 5 x 6:

  30 + 6 = 36

Therefore, 7 x 6 equals 36.

To know more about fact:

https://brainly.com/question/31006910

#SPJ6

can you please help me with this question .​

Answers

just divide 20 by 5 and you’ll get your answer

Answer:

The answer is 4

Explanation:

5 divided by 20 is 4 right?

Read the description of f below, and then use the drop-down menus to complete an
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f relates each student in Mr. Well's history class to their score on a final exam.

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Answer:

because a function always gives a determined answer from what was placed into the domain, this is not a function. what is put into the domain (students) may not get the same result through f.

Answer: 1. the students 2. the final exams 3. is- domain- one- range   brainliest plzz??

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Serena and Derek have 270 stickers in all. Serena has 25% more stickers than Derek. How many stickers does Derek have? (Type out your work and answer)

Answers

270=D+1.25D
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find the slope please :)

Answers

Answer:

3/4

Step-by-step explanation:

up 3 over 4

Explain why the exponent in 3.5 x 10 6 is 6 there are only 5 zeros in 3500000

Answers

Step-by-step explanation:

The given number is 3.5×10⁶. It is written in scientific form. We can first write it into standard form. There is exponent of 10 is 6.

3.5×10⁶ = 3.5×1000000

We can write 3.5 as 35/10

So,

3.5×10⁶ = (35/10)×1000000

= 3500000

One of the zero of 1000000 is divided by 10 at the denominator. Hence, the exponent in 3.5×10⁶ is 6 while there are 5 zeros in 3500000.

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