The quadrilaterals JKLM and PQRS are similar.
Find the length x of RS.

Will mark brainliest!

The Quadrilaterals JKLM And PQRS Are Similar.Find The Length X Of RS.Will Mark Brainliest!

Answers

Answer 1

The measure of side x equivalent to RS is 42

Similar shapes are shapes that have both their sides and angles to be equal.

Since both quadrilaterals JKLM and PQRS are similar, we will take the ratio of the sides as shown;

4/24 = 7/x

1/6 = 7/x

Cross multiply

x = 42

Hence the measure of side x equivalent to RS is 42

Learn more on similar shapes here: https://brainly.com/question/12960403


Related Questions

167<6+7(2+7r)
what is it please help

Answers

Answer:

3 < r

Step-by-step explanation:

167<6+7(2+7r)

distribute the 7 to the 2 and 7r

7 * 2 = 14 and 7 * 7r = 49r

167 < 6 + 14 + 49r

combine like terms: 6 + 14 = 20

167  < 20 + 49r

subtract 20 from both sides

147 < 49r

divide both sides by 49

3 < r

What is the perimeter?

14 feet
12 feet
16 feet

Answers

Answer:

14 feet

Step-by-step explanation:

You find this answer by adding each side. The arrow tells us that each side of a square is 1 foot, so you add up the outer sides of each square

11/19% of a quantity is equal to what fraction of the quantity?

Answers

Answer:

57/10,000

Step-by-step explanation:

9/11% = 0.57% = 0.0057  

57/10,000

Determine the period of the function y = -3cos(pi/5)x.

a. 3
b. 8
c. -3
d. 10

Answers

Answer:

Step-by-step explanation:

B

Answer:

10

Step-by-step explanation:

please help me guys :) !

Answers

Answer:

{13, 9, 5, 1}

Step-by-step explanation:

Here the four inputs (x-values) are {1, 2, 3, 4}.  The corresponding y-values are calculated using the formula y = 17 - 4x, and are as follows:

x       y

1        17 - 4(1) = 13

2       17 - 4(2) = 9               In summary, the (vertical) 2nd column,

3        17 - 4(3) = 5               containing the y-values, is {13, 9, 5, 1}

4         17 - 4(4) = 1

please help due soon

Answers

Answer:

Your answer is A. x=6

Step-by-step explanation:

plug in 6 for x and youll get your answer

Your answer is A

Just trust

17. Find the 15% commission on $400 in sales.
O $75
$60
O $40
O $15

Answers

60 bc 400 x .15 =60 hope this helps

please help i dont want to fail final exam
Determine the linear equation modeled by the graph.

Answers

Answer:

liner equation

Step-by-step explanation:

do nothing

A. Are the expressions 3(m - 2) + 2(m - 2) and 50m - 2) equivalent expressions?

B. In two or more complete sentences, justify your answer to A.

Answers

Answer:

Step-by-step explanation:

3(m-2)+2(m-2)

3m-6+2m-4

3m+2m-6-4

5m-6-4

5m-10

The expressions 3(m-2)+2(m-2) and 50m-2 are not equivalent expressions.

After simplifying the first expression 3(m-2)+2(m-2) in part (a), we got 5m-10, which is different from the second expression, 50m-2.

Find the EXACT distance between the two points.

(5,−4) and (3,5)

Answers

Answer:

  √85

Step-by-step explanation:

The distance formula is used for this purpose.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((3 -5)² +(5 -(-4))²) = √((-2)² +9²) = √(4 +81)

  d = √85 . . . . the distance between the two points

John had one piece of rope that was 176 feet long. He cut the rope into as many 9-foot pieces as possible. The last piece of rope was less than 9 feet long.

Answers

Answer:

The ninth piece is 0.5 feet long

Step-by-step explanation:

176 divided by 9

Hope this helps!

How much is the bill for a person who uses 600kWh in a month?

Answers

Answer:

the correct answer is $80

Step-by-step explanation:

your welcome(:

can I get the brainliest?(:

thank me if it was right for you too

The probability for event A is 0. 3, the probability for event B is 0. 6, and the probability of events A or B is 0. 8. Why are the events not mutually exclusive?.

Answers

P(A and B) = P(A) + P(B) - P(A or B)

P(A and B) = 0.3 + 0.6 - 0.8

P(A and B) = 0.1

Because this result is nonzero, the two events A and B are not mutually exclusive. It is possible for the two events to happen at the same time.

Mutually exclusive events always have P(A and B) = 0, which means A and B cannot happen simultaneously.

The probability of A or B equals the probability of A plus the probability of B. so, the event is not mutually exclusive because of the P(A and B) = 0.1, not 0.

Given that,

The probability for event A is 0.3, the probability for event B is 0.6,

and the probability of events A or B is 0.8.

We have to find,

Why are the events not mutually exclusive?

According to the question,

The probability for event A is 0.3, the probability for event B is 0.6,

and the probability of events A or B is 0.8.

P(A) = 0.3

P(B) = 0.8

and P(A∪B) = 0.8

When two events are said to be mutually exclusive when both the events cannot take place simultaneously.

Mutually exclusive events always undergo different outcomes.

These events are also known as disjoint events.

Mutually exclusive events prevent the second event to take place when the first event appears.

The probability of mutually exclusive events follows;

The probability of A and B together equals 0,

P(A and B) = 0

The probability of A or B equals the probability of A plus the probability of B,

P(A or B) = P(A) + P(B)

Therefore,

P(A or B) = P(A) + P(B) = 0.3 + 0.6 = 0.9

Here, 0.9 ≠ 0.8

Thus, the events are not mutually exclusive.

Hence, The event is not mutually exclusive because the P(A and B) = 0.1, not 0.

For more details about Probability refer to the link given below.

https://brainly.com/question/14071639

An online retailer allows customers to rate items on a scale from −5 to 5. An item receives the scores −1.75, −1, 4.25, 3.75, 1, −4.75, and 2. Find the mean score. Write your answer as a decimal.

Answers

Answer:

mean = 0.5

Step-by-step explanation:

The mean of a set of data is calculated as

mean = [tex]\frac{sum}{count}[/tex]

          = [tex]\frac{-1.75-1+4.25+3.75+1-4.75+2}{7}[/tex]

          = [tex]\frac{3.5}{7}[/tex]

          = 0.5

What is the Answer to this

Answers

Answer:    18.8

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

Explanation:

For now, let's focus on triangle AFG.

This is a right triangle with the following sides:

FA = unknown horizontal leg = xFG = vertical leg = 6.1AG = hypotenuse = 11.2

We'll use the pythagorean theorem to solve for x.

a^2 + b^2 = c^2

(FA)^2 + (FG)^2 = (AG)^2

x^2 + (6.1)^2 = (11.2)^2

x^2 + 37.21 = 125.44

x^2 = 125.44 - 37.21

x^2 = 88.23

x = sqrt(88.23)

x = 9.39308 approximately

Side FA is roughly 9.39308 units long.

-----------

Let's say for a moment we don't know where point G is located, but we do know where points A, C, and E are located. We can determine G's location by determining the perpendicular bisectors for segments AE and EC, and then intersecting said perpendicular bisectors.

Put another way:

FG is a perpendicular bisector for AEDG is a perpendicular bisector for EC

Because of the first bullet point, we know that AE is split into two equal pieces FA and FE, ie FA = FE.

We just found that FA = 9.39308 back in the last section, which means this is the length of FE as well.

Therefore,

AE = FA + FE

AE = 9.39308 + 9.39308

AE = 18.78616

AE = 18.8 when rounding to the nearest tenth, aka one decimal place.

Answer:

18.79

Step-by-step explanation:

→ Use Pythagoras theorem

√11.2² - 6.1²

→ Simplify

9.39

→ Now double the answer

18.79

Which of the following is the correct ratio for Sine?​

Answers

Answer:

Sin = Opp/Hyp

Step-by-step explanation:

Answer:

opposite over hypotenuse

Jack was the science Museum in sabotage the recycling plant had an average speed of 26KM/H. Sometime later Aaliyah love traveling in the opposite direction with an average speed of 57KM/H. After Jack had traveled for four hours they were 332KM a part. How long did Aaliyah travel?

Answers

Off topic, I like your username :] good luck with whomever answers though <33


Mark is mixing blue paint and yellow paint in the ratio of 2 to 3 to make him pay he wants to make 45 L of green paint he be able to make a table to help him think about the problem but he’s unsure of what to do next marks for an Amanda is also mixing paint she wants to make purple paint by mixing 2 cups of blue paint and with the 4 cups of red paint Amanda mixes paint with is left with 48has a purple paint

Answers

Answer:

This question is based on the concept of ratio. Therefore, he needs to have 18 liters of blue paint and  27 liters of yellow paint to make 45 liters of green paint.

Given:

Mark was mixing blue and yellow paint ratio of 2:3.

He wants to make 45 liters of green paint.

According to the question,

Blue : Yellow =  Green

2 : 3 : 2+3 (Given)

2 : 3 : 5

Therefore, he wants to make 45 liters of green paint.

So, 5 parts = 45 liters

Step-by-step explanation:

please mark me brainliest

Say that Thailand has a workforce of 35,709,487 people, each of whom earns an average salary of (equivalent USD) $8,630 annually. If the Thai government wants to raise $70 billion in tax revenue, approximately where should it set the income tax rate? a. 5% b. 15% c. 23% d. 29%.

Answers

The income tax rate must be 29%.

Given that,

Thailand has a workforce of 35,709,487 people, each of whom earns an average salary of (equivalent USD) $8,630 annually.

If the Thai government wants to raise $70 billion in tax revenue,

We have to find,

The approximately where should it set the income tax rate?

According to the question,

Thailand has a workforce of 35,709,487 people, each of whom earns an average salary of (equivalent USD) $8,630 annually.

[tex]\rm Total \ income = Number \ of \ people \times Income \ per \ person\\\\Total \ income = 35,709,487 \times 8,630\\\\Total \ income = 308,172,872,810[/tex]

If the Thai government wants to raise $70 billion in tax revenue,

Then,

The income tax rate is,

[tex]\rm Tax\ rate = \dfrac{70,000,000,000,}{308,172,872,810}\\\\Tax \ rate = 0.29\\\\Tax \ rate = 29 \ percent[/tex]

Hence, The income tax rate must be 29%.

For more details refer to the link given below.

https://brainly.com/question/16016455

Answer:

c

Step-by-step explanation:

Trust me, I got 100%

Solve 2x^2 - x ≥ -5. Show your work.

Answers

Answer:

[tex](x-\frac{1}{4})^{2} \geq \frac{-39}{16}[/tex]

Step-by-step explanation:

Rewrite into standard form:

[tex]2x^{2} -x+5 \geq 0[/tex]

Complete the square:

[tex]2(x-\frac{1}{4} )^{2} + \frac{39}{8} \geq 0[/tex]

Subtract [tex]\frac{39}{8}[/tex] from both sides:

[tex]2(x-\frac{1}{4})^{2} \geq \frac{-39}{8}[/tex]

Divide both sides by 2:

[tex](x-\frac{1}{4})^{2} \geq \frac{-39}{\frac{8}{2}}[/tex]

Simplify:

[tex](x-\frac{1}{4})^{2} \geq \frac{-39}{16}[/tex]

Find an equivalent ratio in simplest terms: 56 : 40

Answers

Answer:

7:5 is another ratio equivalent to 56:40

Step-by-step explanation:

56/8 = 7

40/8 = 5

Answer:

hope this helps

Step-by-step explanation: an equivalent ratio in simplest form would be 7:5

this is found by dividing 56 by 8 which is 7 and 40 dividd by 8 which is 5

7:5

What logarithmic function represents the data in the table?


x f(x)
216 3
1296 4
7776 5

Answers

Answer:

Step-by-step explanation:

216 =6^3

1,296 = 6^4

7,776 = 6^5

x = 6^f(x)

log x = log 6^f(x) = f(x)log 6

f(x) = log x / log 6 =

Using the picture below, which angle is alternate exterior to angle 2?

Answers

Answer:

alternate exterior means outside of the two parallel lines so your answer is 7 because alternate means other side of transversal

If a store sells 300 flat screen TVs and 30% of high definition, how many high definition TVs were sold?

Answers

90 Tv’s are high def! 300/100 = 3 (this is what 1% equals because there’s 100% total) so if we know 1% is 3 tv’s and 30% are high def, then we find out how many tv’s 30% is. so if 3 is 1% then 30 x 1= 30 then 30x3 = 90!

The difference between two numbers is 56. Five times the smaller is equal to 4 more than the larger. What are the numbers?

Answers

Answer: The numbers are 71 and 15.

Explanation:
Let x = the first number
Let y = the second number

From what they give us, we know:
x - y = 56
5y = x + 4

Either one of the equations can be rearranged and substituted into the other equation to find one variable, or number.

5y = x + 4
5y - 4 = x or x = 5y - 4

x - y = 56
5y - 4 - y = 56
4y - 4 = 56
4y = 60
y = 15

To find the other variable (number), substitute that value in either equation.

x - y = 56
x - 15 = 56
x = 71

To check the solutions, substitute both variables into each equation to make sure they work.

x - y = 56
71 - 15 = 56
56 = 56

5y = x + 4
5*15 = 71 + 4
75 = 75

#7 What is f(4) if f(1) = 3.2 and f(x + 1) = 2.5f(x)?

Answers

Answer:  50

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

Explanation:

We're given f(1) = 3.2 which says the first term of the sequence is 3.2

To find the second term, we use the other equation, which is the recursive equation. Plug in x = 1 to get...

f(x+1) = 2.5*f(x)

f(1+1) = 2.5*f(1)

f(2) = 2.5*f(1)

f(2) = 2.5*3.2

f(2) = 8

The second term is 8. We multiplied the previous term (3.2) by the factor 2.5 to get this second term.

The third term is handled pretty much in a similar fashion

third term = 2.5*(second term)

third term = 2.5*8

third term = 20

Lastly, the fourth term f(4) is...

f(x+1) = 2.5*f(x)

f(3+1) = 2.5*f(3)

f(4) = 2.5*f(3)

f(4) = 2.5*20

f(4) = 50

The fourth term is 50.

The first four terms are: 3.2, 8, 20, 50

help me please!!!!
please be quick!!

Answers

Answer:

40m^2 e

Step-by-step explanation:

15.

Write a direct variation equation if x = 7 and y = 42.

16.

Use the equation in example 15 to find x if y = 66.

Answers

Answer:

  15. y = 6x

  16. x = 11

Step-by-step explanation:

15. A direct variation equation is of the form ...

  y = kx

Solving for k, we find ...

  k = y/x = 42/7 = 6

The equation is y = 6x.

__

16. Filling in the given values, we have ...

  66 = 6x

  11 = x . . . . . . . divide by 6

a grandmother 2 mothers and 2 daughters went to the cafe. they ordered one cup of coffee each. what was the total number of cups they ordered.

Answers

Answer:

5 cups of coffee

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

1 grandmother = 1 cups

2 mothers = 2 cups

2 daughters = 2 cups

2 + 2 + 1 = 5

what is
[tex]f(x) = 2x - 3[/tex]
And
[tex]g(x) = 6 - x[/tex]

Answers

Answer:

Solution

Correct option is C)

(fog)(x)=f(g(x))=2(3x+2)−1=6x+4−1=6x+3=3(2x+1)

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