the pentagons ABCDE and JKLMN are similar find the length x of JK

The Pentagons ABCDE And JKLMN Are Similar Find The Length X Of JK

Answers

Answer 1
the second shape is double the first so you would do AB = 2 and then times by 2 as its double and you will get 4
answer = 4
Answer 2

Answer:

x = 4

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{JK}{AB}[/tex] = [tex]\frac{KL}{BC}[/tex] , substitute values

[tex]\frac{x}{2}[/tex] = [tex]\frac{8}{4}[/tex] = 2 ( multiply both sides by 2 to clear the fraction )

x = 4


Related Questions

How to expand Expand 7n-3+1-2n

Answers

Answer:

5n-2

Step-by-step explanation:

collect like terms

-> (7n-2n)+(-3+1)

simplify

=> 5n-2

What does the point (12,45) represent?
A
For 45 dictionaries, the cost is $12.
B The cost of each dictionary is 12 divided by $45.
C
The cost of 12 dictionaries is $45.
D
The total cost of the dictionaries is 12 times $45.

Answers

I think it might be A I’m not sure though but you can try it :)

PLEASEEEE HELPPPP ASAPPPP

Answers

Answer:

x ≈ 7.1

Step-by-step explanation:

Using the cosine ratio in the right triangle.

cos27° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{KL}{KM}[/tex] = [tex]\frac{6.3}{X}[/tex] ( multiply both sides by x )

x × cos27° = 6.3 ( divide both sides by cos27° )

x = [tex]\frac{6.3}{cos27}[/tex] ≈ 7.1 ( to the nearest tenth )

Find the slope for (3,1)and (4,3)

Answers

y2-y1 / x2-x1

so, 3-1 =2 and 4-3=1
2/1 is 2

Answer:

2

Step-by-step explanation:

slope formula : [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where the x and y values are derived from known points

We are given the points (3,1)and (4,3)

Given these points we can define our variables

(x1,y1) = (3,1) so x1 = 3 and y1 = 1

(x2,y2) = (4,3) so x2 = 4 and y2 = 3

Now that we have defined our variable, we plug them into the formula

Recall formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

x1 = 3 , y1 = 1 , x2 = 4 , y2 = 3

* plug in values *

[tex]\frac{3-1}{4-3}[/tex]

subtract 3 and 1 , and 4 and 3

[tex]\frac{3-1=2}{4-3=1} =\frac{2}{1} =2[/tex]

the slope is 2

A karaoke marked at ₽3,750 was sold for ₽3,225. What was the rate of discount?

Answers

Answer:

Step-by-step explanation:

14%  increase

what are all the numbers through 10 and 100 that are divisible by 6 and 9

Answers

Answer:

6,12,18,24,36,42,48,5,60,66,72,78,84,90,96

Step-by-step explanation:

got a friend help

Which of the following function rules represents the graph shown?
o f() = Xhy3
of(x) = 3 - X
Of(x) = -3х

Answers

Answer:

f(x) = 3 - x

.......!!!!

I think so this is the. answer.....!!!

Which statements are true about the scatter plot? Select all that apply:
(Graph is attached)

A. Most players are between 60 & 70in tall
B. Players scored between 40 & 80 points
C. There is an outlier at about (70,23)
D. There is a weak positive association between height & points scored

Answers

Answer:Nooo please don’t put B. It’s A,C, and D

Step-by-step explanation:

Are two similar triangles necessarily congruent? Why?​

Answers

if their corresponding angles are congruent and the corresponding sides are in proportion ...so it will be similar triangle

find the equation of the line.

y=[ ]x+[ ]

Answers

Answer:

y = -2x + 5

Step-by-step explanation:

Slope = -2

m = slope

y-intercept = 5

b = 5

y = mx + b

y = -2x + 5

4. Identify the zeros and the graph of the function y = x(x − 2)(x + 5).

Answers

The zeros of

y = x(x + 2)(x + 5)y=x(x+2)(x+5)

are

x=0,x=-2,x=-5x=0,x=−2,x=−5

EXPLANATION

The given function is

y = x(x + 2)(x + 5)y=x(x+2)(x+5)

To find the zeros of the above function, we just have to equate the function to zero and solve for x.

x(x + 2)(x + 5) = 0x(x+2)(x+5)=0

This implies that,

x = 0 \: \: or \: x + 2 = 0 \:or \: x + 5 = 0x=0orx+2=0orx+5=0

x = 0 \: \: or \: x = - 2\:or \: x = - 5x=0orx=−2orx=−5

To graph the above function, we need to consider the multiplicity.

We can see that the multiplicity of the roots are odd. This means that, the graph crosses the x-axis at each x-intercept.

We also need to consider the position of the graph on the following intervals,

x < - 5x<−5

When

x = - 10x=−10

y = - 10( - 8)( - 5) \: < \: 0y=−10(−8)(−5)<0

The graph is below the x-axis.

- 5 \: < \: x \: < \: - 2−5<x<−2

When

x = - 3x=−3

y = - 3(2)( - 1) \: > 0y=−3(2)(−1)>0

The graph is above the x-axis.

- 2 \: < \: x < \: 0−2<x<0

when

x = - 1x=−1

y = -1(1)(4) \: < \: 0y=−1(1)(4)<0

The graph is below the x-axis.

Finally the interval,

x \: > \: 0x>0

when

x = 1x=1

y = 1(3)(6) \: > \: 0y=1(3)(6)>0

The graph is above the x-axis.

We can now use the above information to sketch graph as shown in the diagram above

What is the first step in solving the equation 4b - 7 = 13.

Answers

Answer:

Add  7 to both sides of the equation [it would look like: 4b - 7 +7 = 13+7]

Step-by-step explanation:

What is the value of q

Answers

Answer:

Triangles QST and RST are similar.  Therefore, the following is true:

q       s

--- = ----   This results in 10q=rs.

r      10

Also, since RST is a right triangle, 4^2 + s^2 = q^2.

Since QST is also a right triangle, s^2 + 10^2 = r^2.  

           4      s

Also:  ---- = -----    which leads to s^2 = 40

           s      10

Because of this, 4^2 + s^2 = q^2 becomes 16 + 40 = 56 = q^2

Then q = sqrt(56) = sqrt(4)*sqrt(14) = 2*sqrt(14) (answer)

what’s 75 percent of 120

Answers

Answer:

90

Step-by-step explanation:

q

It’s 6.25
Multiply 75 by 100 and divide it by 120z

If one worker can lay 10 bricks every hour, and one bandit steals 3 bricks every hour, then how long would it take 8 workers and 5 bandits to lay 1400 bricks?

Answers

It will take 21.53 hours for 8 workers and 5 bandits to lay 1400 bricks.

Given that one worker can lay 10 bricks every hour, and one bandit steals 3 bricks every hour, to determine how long it would take 8 workers and 5 bandits to lay 1400 bricks, the following calculation must be performed:

10 - 3 = 7 5 x 7 + 3 x 10 = X 35 + 30 = X 65 = X 1400/65 = X 21.53 = X

Therefore, it will take 21.53 hours for 8 workers and 5 bandits to lay 1400 bricks.

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Solve. 8 3/5=3/4x−5 1/2 Enter your answer as a mixed number in simplest form in the box.

Answers

The value of x in the expression is 18(24/30).

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

8(3/5) = (3/4)x - 5(1/2)

43/5 = 3x/4 - 11/2

43/5  + 11/2 = 3x/4

(86 + 55)/10 = 3x/4

141/10 = 3x/4

3x = 141 x 4 / 10

x = 564/30

x = 18(24/30)

Thus,

The value of x is 18(24/30).

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which is equivalent to -sinx for all values of x?
A. Sin(90*+x)
B.sin(90*-x)
C.sin(180*+x)
D.sin(180*-x)

Answers

Answer:

sin ( 180* + x ) = - x

Step-by-step explanation:

This is the correct answer

Evaluate -5.8-3.1x0.5

Answers

Answer:

7.35

Step-by-step explanation:

Using DMAS, let's solve.

=> -5.8 - 3.1 x 0.5 (Multiplication)=> -5.8 - 1.55 (Subtraction)=> -7.35 (Solved)

Conclusion:

Therefore, the answer is:

7.35

Hoped this helped.

[tex]GeniusUser[/tex]

A baseball traveled 330 feet in 5 seconds. Which rate is equivalent to the rate at which the baseball traveled?

Answers

Answer:

the baseball traveled 66 feet per second if that helps

Step-by-step explanation:

Sue is still a waitress. If she worked 21 hours this week and made $70 in tips she didn't
make enough for her weekly pay to be above minimum wage. How much does her
employer have to pay to make up the difference and ensure that she makes minimum
wage for the week?

Answers

Answer:

more than 23.3 $

Step-by-step explanation:

if we say she will work minimum 4 hours in day that mean it will be 28 hours

so she left 7 hours behind

and she make 3.33$ per hour (70/21=3.33) so (7 * 3.33 = 23.3) she need more than 23.3$

Consider the right triangle below. Solve for x. Label the sides in the image as opposite, adjacent, or hypotenuse, then show your work on the sketchpad.

Answers

Answer: 11.9

Step-by-step explanation:

The opposite is across from the 35 degree angle and the ajacent is the side valued at 17.

Answer:

A. 11.9

Step-by-step explanation:

35° = opposite/adjacent

tan(35°) = x/17

tan(35) x 17 = 11.90352814

x = 11.90352814

x = 11.9

There are 24 hours in a day. James sleeps 8 hours each night what fraction of the day does James sleep?

Answers

Answer:

1/3 of the day

Step-by-step explanation:

8/24 simplifies to 1/3

8/24 (hours slept by james) = 1/3 (simplified)

[tex]15yx^{2} -34y-16[/tex]

Answers

Answer:

15yx^2-34y-16

Step-by-step explanation:

Alyssa has fifty-quarters and dimes
She has a total of $9.80
How many dimes does she have?
a.)32
b.)30
c.)20
d.)18

Answers

a. 32

hope this helps

Type the correct answer in each box. If necessary, use / for the fraction bar(s). Find the solution for this system of equations. 12x 15y = 34 -6x 5y = 3 x = y =.

Answers

The value of x and y are 5/6 and 8/5 respectively

Given the systems of equations

12x + 15y = 34 ...................... 1 *1 -6x + 5y = 3 ..................... 2 * 3

Solving the equations using the elimination method

12x + 15y = 34

-18x + 15y = 9

Subtract both expressions:

12x-(18x) = 34 - 9

12x+18x = 25

30x = 25

x = 5/6

Substitute x = 5/6 into equation 1 to have:

12x + 15y = 34

12(5/6) + 15y = 34

10 + 15y = 34

15y = 24

y = 8/5

Hence the value of x and y are 5/6 and 8/5 respectively

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Answer to this ?……..

Answers

If you filled out the chart fully:

a = 4

b = 7

c = 6

d = 9

e = 17

Based on the chart, their 7 girls and 10 boys. In this case, it is a better chance of selecting a boy which ratio is:

7:10

There is a greater chance of picking a boy than a girl where there is three more boys than girls.

PLEASE HELP!! name the property of equality that the statement illustrates:

if x = y , then -2x = -2y

Answers

The multiplication property of equality states that if [tex]x=y[/tex] is true, then [tex]xz=yz[/tex] must also be true.

The property of equality illustrated by the statement "if x = y, then -2x = -2y" is the: Multiplication Property of Equality.

How to Identify the Property of Equality?

The properties of equality describe the relation between the two sides of an equation and state that the two sides remain equal even after applying the same arithmetic operation on each side.

The property of equality illustrated by the statement "if x = y, then -2x = -2y" is the Multiplication Property of Equality.

This property states that if you multiply both sides of an equation by the same nonzero number, the equality still holds true.

In this question, both sides of the equation are multiplied by -2, maintaining the equality between the expressions.

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Find the inverse of f(x) = 1/2x + 3

Answers

The equation we have right now is basically y = 1/2x + 3. We can switch the x and y variables. Our new equation is: x = 1/2y + 3. Next, we solve for y.

Firstly, we subtract 3 from both sides. This gives us x - 3 = 1/2y. Next, we multiply both sides by 2 to isolate y. This gives us 2(x - 3) = 1/2y. Then, we have 2x - 6 = y.

The answer is f(x) = 2x - 6

May I please receive help?

Answers

Problem 1 (on the left)

Answers:

[tex]10^2+12^2 = \boldsymbol{244}\\\\14^2 = \boldsymbol{196}\\\\\text{What kind of triangle?} \textbf{ Acute}[/tex]

-------------------------------

Explanation:

The converse of the pythagorean theorem can be used to determine what kind of triangle we're dealing with.

Here are 3 important rules to have in your notes:

[tex]\cdot \text{If } a^2+b^2 > c^2 \text{ then the triangle is } \underline{\text{acute}}\\\\\ \cdot \text{If } a^2+b^2 < c^2 \text{ then the triangle is } \underline{\text{obtuse}}\\\\\cdot \text{If } a^2+b^2 = c^2 \text{ then the triangle is a } \underline{\text{right}} \text{ triangle}\\\\[/tex]

The third rule is probably the most familiar as it's the pythagorean theorem itself.

In this case, we have [tex]a^2+b^2 = 10^2+12^2 = 244[/tex] larger than [tex]c^2 = 14^2 = 196[/tex], which fits the first rule mentioned.

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

Problem 2 (on the right)

Answers:

[tex]8^2+15^2 = \boldsymbol{289}\\\\17^2 = \boldsymbol{289}\\\\\text{What kind of triangle?} \textbf{ Right}[/tex]

-------------------------------

Explanation:

We follow the same idea as problem 1. This time, both [tex]a^2+b^2[/tex] and [tex]c^2[/tex] result in the same value (289). Therefore, [tex]a^2+b^2 = c^2[/tex] is a true equation, and we go for the third rule mentioned earlier. An 8-15-17 right triangle is one of the infinitely many pythagorean triples.

Your piggy bank contains quarters and dimes. There are 572 coins in the piggy bank totaling $92. How
many quarters and dimes are in the piggy bank

Answers

Answer:

340 dimes and 232 quarters

Step-by-step explanation:

Let the number of dimes be x and quarters be y.

Dime = 10 cents, quarter = 25 cents, total amount is $92 = 9200 cents

We have equations:

x + y = 57210x + 25y = 9200

Multiply the first equation by 10 and subtract from the second one:

10x + 25y - 10x - 10y = 9200 - 572015y = 3480y = 3480/15y = 232

Find the value of x:

x + 232 = 572x = 572 - 232x = 340
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