If ΔJKL~ΔMKN, find the value of x.

If JKL~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 parenthesis on 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


Related Questions

solve for answer z/7+19>3.5

Answers

Answer:

z > -108.5

Step-by-step explanation:

1. z/7+19>3.5

Subtract 19 from both sides

2. Z/7 > -15.5

Multiply both sides by 7

3. Z > -108.5

Describe something true about any pair of interior and exterior angles?​

Answers

The interior angles of a shape are the angles inside the shape. The exterior angles are the angles formed between a side-length and an extension. Rule: Interior and exterior angles add up to 180 ° 180\degree 180°.

A line with a slope of 3 passes through the point (6,9). What is its equation in
slope-intercept form?

Answers

Y = 3x + b
9 = 3(6) + b
9 = 18 + b, b = -9
Y = 3x - 9

The equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]


We have:

A line with a slope of 3 passes through the point (6,9).

m = 3

The line equation:

y = mx + c

y = 3x + c

9 = 3(6) + c

c = -9

y = 3x - 9

Thus, the equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ2

6/8w= -9/3

solve for w

pls hurry I need help I will give brainliest

Answers

Answer: w=−4

Step-by-step explanation:

hoped this helped

The scatter plot shows a regression line of advertising dollars spent and sales. What advertising dollar has the greatest error term?
A) $250,000
B) $262,500
C) $275,000
D) $337,500

Answers

Answer:c

Step-by-step explanation:

PLS HELP ASAP PLSSS IT DETECTS IF ITS RIGHT OR WRONG HELPPP

Answers

Answer:

ccccccccccccccccccccc

Answer:

y=2x+4

Step-by-step explanation:

If you look at the table y goes up by 2 every time x goes up by 1 and when x is 0 y is 4 so its y=2x+4

Is the relation a function?

Answers

Answer:

Yes

Step-by-step explanation:

There is only one y value for each x value. That is the definition of a function.

Hope I helped!!!

Answer:

i believe all you have to do is divide the (x) nums into the (y) nums and if there whole nums it is a function

Step-by-step explanation:

Leon tried to solve an equation find leons mistake 1/2w-12=18
Step one : 1/2w=30
Step two: w=15

Answers

Answer:

They made a mistake of the value of W.  If half of W is 30, then 1/1 should thus be 60, but it's 15. Leon made a mistake on the value of W. 1/2w-12=18 would actually be 3 based of background information.

Step-by-step explanation:W-

Answer:

Step two

Step-by-step explanation:

step one isn't wrong

and he infact made a mistake

5−a+4a=
please show work :)

Answers

that doesn’t give us enough information. there must be something else on your assignment you’re forgetting to give us

Answer:

5 + 3a

Step-by-step explanation:

5 - a + 4a =

5 + ( -a + 4a ) =

5 + ( 4a - a ) =

5 + ( 3a )

What is the value of x?
155
105
A. 55°
B. 160°
C. 50°
O D. 20°

Answers

If you are taking one away from the other the answer is 50 degrees so try that hope this helps
=C.

Jaxon is deciding between two landscaping companies for his place of business. Company A charges $45 per hour and a $150 equipment fee. Company B charges $35 per hour and a $200 equipment fee. Let AA represent the amount Company A would charge for tt hours of landscaping, and let BB represent the amount Company B would charge for tt hours of landscaping. Write an equation for each situation, in terms of t,t, and determine the interval of hours, t,t, for which Company A is cheaper than Company B.

Answers

Answer:

When the number of hours t is less than 5 hours, Company A is cheaper than Company B

Step-by-step explanation:

Let the number of hours be represented by t

For Company A

Company A charges $45 per hour and a $150 equipment fee.

150 + 45t

For Company B

Company B charges $35 per hour and a $200 equipment fee.

200 + 35t

Write an equation for each situation, in terms of t,t, and determine

The interval of hours,t, for which Company A is cheaper than Company B is given as:

Company A < Company B

Hence:

150 + 45t < 200 + 35t

Collecting like terms

45t - 35t < 200 - 150

10t < 50

t< 50/10

t < 5

When the number of hours t is less than 5 hours, Company A is cheaper than Company B

Answer:

This is the correct answer on Delta Math

Step-by-step explanation:

The sides of a triangle are in the ratio 2:3:4 and the longest side is 20 cms longer than the shortest side. Compute the length of each side.

Answers

Answer:

40 cm ; 30cm ; 20cm

Step-by-step explanation:

Given that:

Sides of a triangle are in the ratio 2:3:4

Let :

length of the sides = 2x, 3x, 4x

longest side = 4x

Mid side = 3x

Shortest side = 2x

Length of longest side is 20 cm longer than shortest side

4x = 2x + 20 - - (1)

4x - 2x = 20

2x = 20

x = 10

Hence,

longest side = 4x = 4*10 = 40 cm

Mid side = 3x = 3 * 10 = 30 cm

Shortest side = 2x = 2 * 10 = 20 cm

the bottom of a 15 foot ladder is placed 3 feet back from the wall. How far up the wall will the top of the ladder reach? ( round to 1 decimal place.
a) 15 feet
b) 18 feet
c) 14.7 feet
d) 15.3 feet

Answers

Answer:

It’s c

Step-by-step explanation:

It’s simple

Solve the system.

y+5x=1

5y-x=5

The solution is ___


Explain your choice of method.

Answers

Answer:

(0, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y + 5x = 1

5y - x = 5

Step 2: Rewrite Systems

y + 5x = 1

Subtract 5x on both sides:                    y = 1 - 5x

Step 3: Redefine Systems

y = 1 - 5x

5y - x = 5

Step 4: Solve for x

Substitution

Substitution in y:                      5(1 - 5x) - x = 5Distribute 5:                             5 - 25x - x = 5Combine like terms:                5 - 26x = 5Isolate x term:                          -26x = 0Isolate x:                                   x = 0

Step 5: Solve for y

Define equation:                    5y - x = 5Substitute in x:                       5y - 0 = 5Subtract:                                 5y = 5Isolate y:                                 y = 1

The points (2, 5) and (1, 1) fall on a particular line. What is its equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

y=
x-

Answers

x= cgggvvvvy the best

Find the slope and the y-intercept of the line.
- 9x+3y=-6

Answers

Answer:

slope is 3 and y intercept of -2

Step-by-step explanation:

help ! question 6 . I’ll give brain.

Answers

Answer:

B

Step-by-step explanation:

Answer:

I think its B

Step-by-step explanation:

put me as brainliest

Help PLS anybody good at GEOMETRY?!
NUMBER 15

Answers

70 just add them dksksk

What is the appropriate sequence of events for protein synthesis?
A. Amino acids link to form polypeptides, which fold into proteins
B. Polypeptides link to form amino acids, which fold into proteins
C. Proteins link to form amino acids, which fold into polypeptides
D. Amino acids link to form proteins which fold into polypeptides​

Answers

The correct sequence of events in protein synthesis is transcription, then translation.

terms and like terms in the expression 4a−9+3a.

Answers

Examples to help:

2a + 4      (Unlike terms cannot be simplified)

4a + 3b    (Unlike terms cannot be simplified)

6a – 3a = 3a

8b – 8b = 0

5a – 3      (Unlike terms cannot be simplified)

6a – 4b    (Unlike terms cannot be simplified)

These are not the awnsers they are just examples

How many solutions does a system of equations have when solving results in the statement 3=5​

Answers

Answer:

No solutions

Step-by-step explanation:

Answer:

they usually have the sum of an answer that they divided

Step-by-step explanation:

there are 50 kilometers in 31 miles. which representation does NOT show the same relationship

Answers

Answer: D

Step-by-step explanation: did you get it right

Answer:

D

Step-by-step explanation:

Please help I’ll give you guys brainiest!


Thank youuuuuuu :))

Answers

Hi there!

[tex]\large\boxed{\left \{ {{y\geq -x + 3} \atop {y > 2x - 3}} \right.}[/tex]

We can begin by looking at the solid-line pictured in the graph.

Using the slope-formula, we can derive the slope from this line:

[tex]\text{Slope } = \frac{ y_2 - y_1 } { x_2 - x_1 }[/tex]

Plug in points from the line:

[tex]m = \frac{0- 3 } { 3 - 0} = -1[/tex]

We can also see that the graph has a y-intercept, or "b" value of 3. The line is a solid line including values above it, which means we must use a "greater than or equal to" symbol. Therefore, the final equation is:

y ≥ -x + 3

The second line is dashed and also has values shaded above its graph. We can use this later to make an equation, but let's solve for the slope for now. Use the same equation as above:

[tex]m = \frac{1-(-3)}{2-0} = 4/2 = 2[/tex]

The graph has a y-intercept at y = -3, so this is the "b" value in its slope-intercept formula.

Use a "greater than" sign (Not equal to... the line is dashed) to write the equation:

y > 2x - 3

The table shows the participation in a school's debate club during the last four years.
Year
1 2 3 4
Students
14
19
25
33
Between which two years did the club see the greatest growth? By what percent did it grow?
The greatest growth was between years 3 and 4. The growth between those years was about 32%.
The greatest growth was between years 1 and 2. The growth between those years was about 5%.
The greatest growth was between years 3 and 4. The growth between those years was about 8%.
o The greatest growth was between years 1 and 2. The growth between those years was about 36%.

Answers

Answer:

The greatest growth was between years 1 and 2. The growth between those years was about 36%.

Step-by-step explanation:

Divide 19 by 14 to check, it gets you 1.357 which rounds to 1.36, or an increase of 36%

1)Tyrone is scuba diving in the ocean and is currently at a depth of 47 feet below sea level.
2)Enter the integer that represents Tyrone's current depth.

Answers

Answer:

-47 Feet

Step-by-step explanation:

He is 47 feet below sea level, so he would be at -47 feet. If you are asking how deep he is, then it would be just positive 47 feet.

Can someone please help

Answers

Answer:

2x+7

Step-by-step explanation:

F(x+3)=2(x+3)+1

F(x+3)= 2x+6 +1 =2x+7

Which set best describes the numbers used on the scale for a standard thermometer?




A real numbers
B whole numbers
C integers
D rational numbers

Answers

I believe it’s B sorry if I’m wrong

A toy maker wants to re-create the Wright Brothers 1903 airplane. The actual plane was 21 feet long. The toy maker wants to use a scale model of 3 feet = 2 inches. How long will the replica plane be?

Answers

Answer:

[tex]x = 14ft[/tex]

Step-by-step explanation:

Given

[tex]Actual\ Length = 21ft[/tex]

Model:

[tex]3\ ft = 2\ in[/tex]

Required

Determine the length of the replica

Represent the model as a ratio:

[tex]Ratio = 3\ in:2\ ft[/tex]

Convert to fraction

[tex]Ratio = \frac{3\ in}{2\ ft}[/tex]

Represent the actual lengths as a ratio

[tex]Ratio = 21\ ft : x[/tex]

Where x is the length of the replica

Convert to fraction

[tex]Ratio = \frac{21\ in}{x}[/tex]

Equate both ratios (because they are in proportion)

[tex]\frac{3\ in}{2\ ft} = \frac{21\ in}{x}[/tex]

[tex]\frac{3}{2\ ft} = \frac{21}{x}[/tex]

Cross Multiply:

[tex]3 * x = 21 * 2\ ft[/tex]

[tex]3x = 42\ ft[/tex]

Solve for x

[tex]x = \frac{42ft}{3}[/tex]

[tex]x = 14ft[/tex]

Hence, the length of the replica is 14ft

I need the value of X that has the same area please help

Answers

Answer:

x = 10

Step-by-step explanation:

To find the value of x that will make the area of both figures to be equal, set the expression for the area of one figure equal to the other.

Thus:

(x + 5)×12 = x × 18

Solve for x

12x + 60 = 18x

Subtract 12x from each side

12x + 60 - 12x = 18x - 12x

60 = 6x

Divide both sides by 6

60/6 = 6x/6

10 = x

x = 10

Find all solutions of
- 2r +4-8=0​

Answers

Answer: -2

Step-by-step explanation: 4-8= -4 then it ends up being -2r-4=0

Then you add 4 to 0 so -2r=4 then divide

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