If triangle JKL~ Triangle MKN, find the value of x

If Triangle JKL~ Triangle MKN, Find The Value Of X

Answers

Answer 1

Answer:

x = 14

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{KL}{KN}[/tex] = [tex]\frac{JL}{MN}[/tex] , substitute values

[tex]\frac{32}{12}[/tex] = [tex]\frac{3x-2}{x+1}[/tex] ( cross- multiply )

12(3x - 2) = 32(x + 1) ← distribute both sides

36x - 24 = 32x + 32 ( subtract 32x from both sides )

4x - 24 = 32 ( add 24 to both sides )

4x = 56 ( divide both sides by 4 )

x = 14

Answer 2

For the given triangles ΔJKL ≈ ΔMKN, the value of x is, 4

What is similarity of triangles?

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is shown here by the symbol "≈"

Given that,

One right angle triangle, ΔJKL

one segment MN which is intersecting sides KJ & KL

ΔJKL has one similar triangle inside, which is ΔMKN

Triangle ΔJKL and ΔMKN are similar,

So, we can say ΔJKL ≈ ΔMKN

And it is known that

for similar triangles, ratio of lengths of sides are equal for similar triangles

so, KN/MN = KL/JL

⇒ (X + 1)/12 = (3X -2)/32

⇒ 32X + 32 = 36X - 24

⇒ 32 + 24 = 36X - 32X

⇒ 56 = 14X

⇒ X = 4

To know more about properties of triangles check:

https://brainly.com/question/8476788

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Related Questions

5d-3+2d=4d+9. I need help can you help me solve this problem

Answers

Answer:

D=4

Step-by-step explanation:

Answer:

d=4

Step-by-step explanation:

5d - 3 +2d = 4d +9

7d-3=4d+9

-4d    -4d

3d-3=9

     +3   +3

3d=12

divide both sides by 3

d=4

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Answer:

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Step-by-step explanation:

Answer:

Enola Holmes is a really good movie staring Millie bobby brown  

criminal minds is a good show as well

umbrella academy

super natural  

how to get away with murder my personal fav

Step-by-step explanation:

URGENT
The measure of one of the acute angles in a right triangle is 24. what is the measure of the other angle?

Answers

Answer:

do you have pictures and more measurements so i can solve the problem for you?

Step-by-step explanation:

Give an example of an equation that has no solution equation and explain why it is a no solution equation.

Answers

Answer:

x = x + 7

Step-by-step explanation:

In this equation, it is saying that x is equal to itself plus something else (7). This equation does not make sense at all because x cannot equal to something that is bigger or smaller than itself. If 7 is added to x, like the right-hand side of the equation, it cannot be equal to x from the left-hand side of the equation, so there is no solution to the value of x in this equation.

Drake is buying a new video game that costs $50 . If the sale tax rate is. 7.5% how much will frame pay in tax?

Answers

Drake Will pay $3.75 in tax.

Answer:

he will pay 3.75 in tax

Step-by-step explanation:

first you do 50 times 0.075(which is 7.5%) to get your answer of 3.75

The length of a rectangle is 5 less than 3 times its width. The perimeter is
78. Find the LENGTH.*

Answers

Answer:

The length is 28 and the width is 11

Step-by-step explanation:

To solve this problem, we can make the width as x.

Since the length is 5 less than 3 times the width, it's going to be 3x - 5

So now we've got the length and width, just need to find the perimeter, which is all the sides added up together. They already gave us the perimeter, so we just have to solve the equation:

2(3x - 5) + 2x = 78

6x - 10 + 2x = 78

8x - 10 = 78

8x = 88

x = 11

x = 11, but remember, x is the width, not the length. Since we already found what x is, we just have to plug it into the equation of:

3x - 5

3 × 11 - 5

33 - 5 = 28

Answer: Length = 28 (don't forget to add the unit if there is one)

Jack wants to buy a pair of trousers for $60 when he went to the store he found that the prices marked down by 20% how much do they cost no

Answers

60 times .20 is 12
60-12 is 48

What is the value of (2)⁶?​

Answers

Answer:

64

Step-by-step explanation:

2 to the sixth power would be 2 multiplied by itself 6 times

y=-4x+2
At point (1,y), what is y?

Answers

Answer {4x-2 [-10, 10, -5, 5]
-2? i think because 1(-4)= -4 and +2 would make it -2

please help!! I'm confused, ignore the math book thing. And it's asking what property it is, the associative property or the communitive property?

Answers

Answer:

its associative property

Step-by-step explanation:

2+d=2+d

d=2

Mae Ling earns a weekly salary of $315 plus a 7.5% commission on sales at a gift shop. How much would
she make in a work week if she sold $4,900 worth of merchandise?
She would make $

Answers

Answer:

4400*7.5%=330+315=$645 a week

Step-by-step explanation:

Please answer this is homework i need help with

Answers

Look at the attachment

Lin was looking at the equation 2x−32+4(3x−2462)=14x. She said, “I can tell right away there are no solutions, because on the left side, you will have 2x+12x and a bunch of constants, but you have just 14x on the right side.” Do you agree with Lin?

Answers

Answer:

Disagree with Lin: There are no solutions because 12x+2x is equal to 14x, if 14x=14x on both sides, the x variable can be cancelled out since they have the same slope

Step-by-step explanation:

I agree with Lin the system of equation  2x - 32 + 4(3x - 2462) = 14x

has no solution.

What are the three types of solutions for a system of linear equations?

If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.

There are only three matching forms of solution for a given system of equations because there are only three different ways that two straight lines in the plane can graph.

Given, An equation 2x - 32 + 4(3x - 2462) = 14x.

2x - 32 + 12x - 9848 = 14x.

14x - 9880 = 14x.

So, 14x - 9880 ≠ 14x and has no solution.

learn more about the system of linear equations here :

https://brainly.com/question/19549073

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Solve for x:
2x - 14 = 3x + 6

Answers

Answer:

x = - 20

Step-by-step explanation:

[tex]2x - 14 = 3x + 6[/tex]

Move 3x to the other side of the equation

[tex]2x - 3x - 14 = 6 \\ - x - 14 = 6[/tex]

Move -14 to the right side of the equation.

[tex] - x = 14 + 6 \\ - x = 20[/tex]

Multiply both sides by - 1

[tex] - ( - x) = - 20 \\ x = - 20[/tex]

We have the final answer as

x = - 20

Hope this helps you

Answer: add 14 to both sides of the equation

2x-14=3x+6

2x-14+14=3x+6+14

Simplify

add the numbers

2x-14+14=3x+6+14

2x=3x+6+14

add the numbers

2x=3x+6+14

2x=3x+20

subtract 3x from both sides of the equation

2x=3x+20

2x-3x=3x+20-3x

simplify

Combine like terms

2x-3x=3x+20-3x

-x=3x+20-3x

Combine like terms

-x=3x+20-3x

-x=20

Divided both sides of the equation by the same term

-x=20

-x/-1=20-/-1

Simplify

Cancel terms that are in both the numerator and denominator

-x/-1=20/-1

x=20/-1

Divide the numbers

x=20/-1

x=-20

So the answer is x=-20

Hope this helps... Stay safe and have a great day/night!!! :D

I need the sum to (x + 3) + (2x-1)

Answers

answer:

3x + 2

YOUR WELCOME MARK BRAINLIEST

Answer:

18

Step-by-step explanation:

Parantheses

Exponents

Multiply

Division

Adding

Subtracting

Ok um chile what is 10/11+1/2 if you cant answer this than das oki but plz do :v

Answers

Answer:

I believe it's 1.333

Step-by-step explanation:

What is the cost of the sweatshirt if the regular price is $42 and sales tax is 7.5%?

Answers

Answer:

$45.15

Step-by-step explanation:

42+(42)(.075)

42+3.15=45.15

Andrew has already played 32 minutes on his video game today and wants to play an additional 15 minutes each of x games after school today. What equation can be used to find y, the total minutes Andrew will play video games today?

Answers

Answer:

y = 15x+32

Step-by-step explanation:

Given

y to be the total minutes Andrew will play video games today

x is the total number of games played after school

If he wants to play an additional 15 minutes each of x games after school today, the total minutes he will use for the x games will be 15* x = (15x)minutes

We are told that he has initially spent 32minutes on video games. hence;

Total minutes Andrew used on games y = (15*x)+32

The required equation will be y = 15x+32

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
16 gal : 24 gal

Answers

2:3 . you divide the numbers by the greatest factor. which is 8. 24 divided by 8 is 3, 16 divided by 8 is 2. =2:3

3. You are selling hot cocoa at an
amazing price of $0.80 a cup. You
want to make(earn) $ 48. How many
cups do you need to sell?

Answers

Answer:

you need to sell 60 cups

Step-by-step explanation:

48÷0.80= 60 cups

hope it helps!

please mark me brainliest

complete each number sentence by choosing >, <, or =
14 - (5 +3) , (14 -5) + 3
(1 + 6) + 9 , 1 + (6 +9)
17 - (8+4) , 17 - 8 + 4​

Answers

Answer:

14 - (5 +3) < (14 -5) + 3     <

      14  - 8     9+3

(1 + 6) + 9 = 1 + (6 +9)       =

17 - (8+4) < 17 - 8 + 4​      <

-5                       12

Step-by-step explanation:


Help me please, I’ll give brainliest, pls say how u got the answer but quickly

Answers

Answer:

A) y = -1/2x + 2

Step-by-step explanation:

The line is negative, so you will have a negative slope

The line is crossing the y- axis at 2 so the y- intercept is 2.

Now do rise over run or rise/run

The lines rise is 2 and the run is 4

2/4 = 1/2 and since the line is negative the slope is negative -1/2

y = -1/2x + 2

Hope this helps ya!!

HELP!!! ASAP!!! WILL MARK BRANLIST!!!!!

Answers

You’ve got the correct answer (which is the first one) hope this helps

Answer:

It's me again!!

It's A or the one u clicked on

Step-by-step explanation:

because (2^3)-5 eqeuals 1/32768

and 1/2^15 equals to 1/32768

My daily point give away!!! What is ten times 30 minus 1

Answers

Answer:

29!

Step-by-step explanation:

tysm!

Answer:

10×30-1=299

Step-by-step explanation:

10×30=300

300-1=299

thx

1.
Divide:
x+3x+2 x +4x+4
x+1 x + 5x+4

Answers

Answer:

x  

4

−5x  

2

+4

To factor the expression, solve the equation where it equals to 0.

x  

4

−5x  

2

+4=0

By Rational Root Theorem, all rational roots of a polynomial are in the form  

q

p

​  

, where p divides the constant term 4 and q divides the leading coefficient 1. List all candidates  

q

p

​  

.

±4,±2,±1

Find one such root by trying out all the integer values, starting from the smallest by absolute value. If no integer roots are found, try out fractions.

x=1

By Factor theorem, x−k is a factor of the polynomial for each root k. Divide x  

4

−5x  

2

+4 by x−1 to get x  

3

+x  

2

−4x−4. To factor the result, solve the equation where it equals to 0.

x  

3

+x  

2

−4x−4=0

By Rational Root Theorem, all rational roots of a polynomial are in the form  

q

p

​  

, where p divides the constant term −4 and q divides the leading coefficient 1. List all candidates  

q

p

​  

.

±4,±2,±1

Find one such root by trying out all the integer values, starting from the smallest by absolute value. If no integer roots are found, try out fractions.

x=−1

By Factor theorem, x−k is a factor of the polynomial for each root k. Divide x  

3

+x  

2

−4x−4 by x+1 to get x  

2

−4. To factor the result, solve the equation where it equals to 0.

x  

2

−4=0

All equations of the form ax  

2

+bx+c=0 can be solved using the quadratic formula:  

2a

−b±  

b  

2

−4ac

​  

 

​  

. Substitute 1 for a, 0 for b, and −4 for c in the quadratic formula.

x=  

2

0±  

0  

2

−4×1(−4)

​  

 

​  

 

Do the calculations.

x=  

2

0±4

​  

 

Solve the equation x  

2

−4=0 when ± is plus and when ± is minus.

x=−2

x=2

Rewrite the factored expression using the obtained roots.

(x−2)(x−1)(x+1)(x+2)

Tyler runs 8 miles and it takes him 64 minutes. How many miles can he run in 20 minutes?

Answers

Answer:

2.5 miles

Step-by-step explanation:

64/8=20/x

8=20/x

*x    *x

8x=20

/8    /8

x=20/8

x=5/2 or 2.5

2 miles

Since 8 x 8 is 64. We would have thought to multiply 2 x 8 but that leaves us to 16. So if we multiply 2 x 10, that gives us 20.

Use the graph below for this question: A 6 4 3 What is the average rate of change from x = -1 to x = -2? (1 point) 2 - 2 4 -1​

Answers

Answer:

- 2

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 2, - 1 ] , then

f(b) = (f(- 1) = 5 ← corresponding value of y (- 1, 5 )

f(a) = f(- 2) = 7 ← corresponding value of y (- 2, 7 ) , thus

average rate of change = [tex]\frac{5-7}{-1-(-2)}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2

What is the equation of the line whose y-Intercept is 3 and slope is 1?

Answers

y = x + 3

as x increases by 1, y increases by 1 (Slope)

when x equals 0, y equals 3 (y-intercept)

Tommy is baking a cake. He knows that he needs 2/3 cups of flour to make 4 cakes. How many cups of flour will Tommy need to make 8 cakes?

Answers

1. 1/3 cups..... ok vthen have a good day

If the mean of the four numbers 4, 8, 2x and
12 is 10, then x is

Answers

Answer:

8

4+8+2x+12=10*4

24+2x=40

2x=16

x=8

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