Mathematics College

These two polygons are similar
y = [?]

Answers

Answer 1

Answer:

w = 9

x = 12

y = 5

z = 3

Step-by-step explanation:

The corresponding sides of similar polygons are proportional.

Therefore:

[tex] \frac{w}{3} = \frac{x}{4} = \frac{15}{y} = \frac{9}{z} = \frac{6}{2} [/tex]

Solve for each variable as follows:

✔️[tex] \frac{w}{3} = \frac{6}{2} [/tex]

Multiply both sides by 3

[tex] w = \frac{6}{2} \times 3 [/tex]

[tex] w = 3 \times 3 [/tex]

[tex] w = 9 [/tex]

✔️[tex] \frac{x}{4} = \frac{6}{2} [/tex]

Multiply both sides by 4

[tex] x = \frac{6}{2} \times 4 [/tex]

[tex] x = 3 \times 4 [/tex]

[tex] x = 12 [/tex]

✔️[tex] \frac{15}{y} = \frac{6}{2} [/tex]

Cross multiply

[tex] y \times 6 = 2 \times 15 [/tex]

[tex] 6y = 30 [/tex]

Divide both sides by 6

[tex] y = 5 [/tex]

✔️[tex] \frac{9}{z} = \frac{6}{2} [/tex]

Cross multiply

[tex] z \times 6 = 2 \times 9 [/tex]

[tex] 6z = 18 [/tex]

Divide both sides by 6

[tex] z = 3 [/tex]

Related Questions

the linear equation y=1/2x+1 is represented by the graphed line. A second linear equation is represented by the data in the table. X(-2,0,2,4) Y(7,6,5,4) .In which square is the solution located

Answers

Answer:

Correct Answer is D

Step-by-step explanation:

Answer:

Yeah it's "D"

Step-by-step explanation:

Have a Jocular Day

There are 8 classroom in a particolar
School. The number of student in each classroom
range from 25 to 30, what is the total number
of student in the School?

Answers

Answer:

25 times 8 kid its easy then do the answer is greater than or equal to x

Step-by-step explanation:

Study circle C, where diameter TV bisects chord EF.
The diagram as described in the text.

If m∠EKT=(5x + 65)∘, what is the value of x?
Enter the correct value.

Answers

The answer to the question and value is 5

please help - it neeeeddd this - im going to fail - i will give you a lot of points

Answers

The answer is one of the last two. I am pretty sure that it is corresponding but I could be wrong.

Answer:

389202838

Step-by-step explanation:

Solve for x: 3 − (2x − 5) −8
c. x −3

Answers

Answer:

-8cx−2x+5

Step-by-step explanation:

solve and evaluate expression

Answer:

hshd

Step-by-step explanation:

hhshahj

Pllls Help ill give brainliesstttt

Answers

Number one is 16

number two is 30

Number 3 is 100

Number four is 50

4.5.36
A smoke jumper jumps from a plane that is 1500 ft above the ground. The function h= - 16t^2+ 1500 gives the jumper's height h in feet during the free fall att seconds
a. How long is the jumper free fall if the parachute opens at 1000 ft?
b. How long is the jumper in free fall if the parachute opens at 940 ft?
c. What is a reasonable domain and range for the function h?

Answers

We have a jumper that jumps from 1500ft above the ground, such that its height as a function of time is given by:

h(t) = -16*t^2 + 1500

The solutions are:

A) 5.59 seconds

B) 5.91 seconds

C) D = (0s, 9.68s)

R = [0ft, 1500ft]

Notice that when t = 0, h = 1500, then at the initial time (t = 0) the height is 1500 (in ft), which means that the zero of the height is the ground.

a) How long is the jumper free fall if the parachute opens at 1000 ft?

Here we need to solve:

h = 1000 = -16*t^2 + 1500

Now we just need to solve this for t:

16*t^2 = 1500 - 1000 = 500

t^2 = 500/16 = 31.25

t = √31.25 = 5.59

So it takes 5.59 seconds to open the parachute.

B) similar to before, this time we need to solve:

h = 940 = -16*t^2 + 1500

16*t^2 =1500 - 940 = 560

t^2 = 560/16 = 35

t = √35 = 5.91

So it takes 5.91 seconds to open the parachute.

C) The domain is the set of inputs that we can use in the function.

The minimum of the domain is t = 0, when the jumper jumps.

To find the maximum of the domain we need to find the maximum time at which he could open the parachute, that is when h = 0ft, just in the ground.

Then we solve:

h = 0 = -16*t^2 + 1500

16*t^2 = 1500

t = √(1500/16) = 9.68

Then a reasonable domain is (0s, 9.68s)

And the range is the set of possible outputs, which will be all the possible heights of the jumper. We know that all of these are between 0ft and 1500ft, thus the range is [0ft, 1500ft]

If you want to learn more, you can read:

https://brainly.com/question/1632425

Mackenzie sells shoes. She makes a 20% commission on all of her sales.
Write 20% as a fraction in simplest form.

Write 20% as a decimal.

Answers

Answer:

20% as a fraction is 20/100

20% as a decimal is 0.20

Step-by-step explanation:

Answer:

1/5 and 0.20

Step-by-step explanation:

20/100 = 10/50 = 2/10 = 1/5

20% is out of a 100, so move the decimal place of the 20 two times because 100 has 2 zeros.

0.20

Find Y (pic attached) (i’ll mark brainliest)

Answers

Answer:

4y - 4 = 60

4y = 64

Y = 16

Answer is B

I get 60 as it is a equilateral triangle.

Thank you and please rate me as brainliest as it will help me to level up

The Shredder, Inc. produces two types of paper shredders, home and office. The office model requires 6 hours to assembly and 2 finishing work units for finishing work, the home model requires 4 hours to assemble and 12 finishing work units for finishing. The maximum number of assembly hours available is 96 per day, and the maximum number of finishing hours available is 96 per day.

Let
x = the number of office model shredders produced per day and
y = the number of home model shredders produced per day.

Write the system of inequalities that represents the maximum number of shredders that can be produced in one day.

NOTE: 4 inequalities are expected.

Answers

Answer:

4y + 6x ≤ 96

12y + 2x ≤ 96

Step-by-step explanation:

Paper shredders produced :

Home :

Assembling time = 4 hours

Finishing work unit = 12

Office :

Assembling time = 6 hours

Finishing work unit = 2

Maximum number of assembly hours = 96 / day

Maximum number of finishing hours = 96/ day

Let

x = the number of office model shredders produced per day and

y = the number of home model shredders produced per day

(office Assembly hours x Number of office model) + (Assembly hours * number home models)

OFFICE MODEL:

Assembly operation :

Home + office ≤ 96

4y + 6x ≤ 96

Finishing operation :

Home + office ≤ 96

12y + 2x ≤ 96

The life expectancy (M) in the United States is 85 with a standard deviation of 6 years. A random sample of 36 individuals is selected. What is the probability that the sample mean will be between 82.5 and 86 years?

Answers

Answer:

The probability that the sample mean will be between 82.5 and 86 years is 0.8351.

Step-by-step explanation:

According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\mu\\[/tex]

And the standard deviation of the sample means is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

The information provided is:

[tex]\mu=85\\\sigma=6\\n=36[/tex]

As the sample size is large enough the Central Limit Theorem can be used to approximate the sampling distribution of sample mean life expectancy (M) in the United States.

Compute the probability that the sample mean will be between 82.5 and 86 years as follows:

[tex]P(82.5<\bar X<86)=P(\frac{82.5-85}{6/\sqrt{36}}<\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{86-85}{6/\sqrt{36}})\\\\=P(-2.5<Z<1)\\\\=P(Z<1)-P(Z<-2.5)\\\\=0.84134-0.00621\\\\=0.83513\\\\\approx 0.8351[/tex]

Thus, the probability that the sample mean will be between 82.5 and 86 years is 0.8351.

The probability that the sample mean will be between 82.5 and 86 years is 0.8351.

Standard deviation σ = 6

Sample size n =36

What is the central limit theorem?

The central limit theorem (CLT) states that the distribution of sample means approximates a normal distribution as the sample size gets larger, regardless of the population's distribution.

Since the sample size is significant i.e. large, so the given scenario can be treated as normally distributed as per the central limit theorem.

So, the standard deviation of sample means = σ/√n

The probability that the sample mean will be between 82.5 and 86 years:

[tex]P(82.5 < X < 86) = P(\frac{82.5-85}{\frac{6}{\sqrt{36} } } < Z < \frac{86-85}{\frac{6}{\sqrt{36} } } )[/tex]

[tex]P(-2.5 < Z < 1)=P(Z < 1)-P(Z < 2.5)[/tex]

[tex]P(-2.5 < Z < 1) =0.8413-0.0062=0.8351[/tex]

Therefore, the probability that the sample mean will be between 82.5 and 86 years is 0.8351.

To get more about the central limit theorem visit:

https://brainly.com/question/18403552

The radius of a circle is 3 feet. What is the circle's area?

Answers

Answer:

Step-by-step explanation:

Answer:1.5 feet

Step-by-step explanation: your welcome

hey guys what is this type of equation/ question called 1 < x < 30

Answers

Answer:

2,3,4,5,6,7,8,9,10,...29

Step-by-step explanation:

Hell and thanks please

Answers

Answer:

Step-by-step explanation:

What is the sum of -16/8 and 2

Answers

Answer:

Step-by-step explanation:

Answer:

the answer is 0

Step-by-step explanation:

hope this helped,brainliest?

Gabriela drank three fourths of her glass of milk and jenny drank six eighths of her glass of milk if the glasses were the same size did they drink the same amount ? Use cross multiplication to prove your answer

Answers

Answer:

just croos multi

Step-by-step explanation:

its very easy

3/4•6/8= 9/16. Explanation: first you multiply 3/4•6/8. You would need to cross off 6 and 4. The six should be a three and the four should be a two. The answer should be 9/16. I hope that this helps!

how would i slove for x??

Answers

Answer:

x=12

Step-by-step explanation:

First you need to find the 3rd angle.

180-118=x

x=62

Once you have that 3rd angle, set all the inside angles equal to 180

4x-6+5x+16+62=180 ---> set to 180

9x+72=180 -->combine like terms

9x=108 --> subtract 72 from both sides

x=12 -->divide both sides by 9

Which term best describes objects that have length, width, and height?
A. Two-dimensional
B. One-dimensional
C. Three-dimensional
D. Zero-dimensional

Answers

Answer:

Step-by-step explanation:

hope this helps

Answer: c

Step-by-step explanation:

Find the equation of the line use exact numbers.

Answers

Answer:

y = 2/3x+4

Step-by-step explanation:

The answer is y = 2/3x + 4

Can you please mark me as Brainliest

A car salesperson earns a 5.8% commission on every car sold. How much commission will the salesperson earn on the sale of a $28,400 car? * PLZZ help!!

Answers

He would earn $1,647.20 in commissions. To calculate this: cost of car * commission rate = his commission. 28,400 * .058 = $1,647.20

This is statistics. Please answer fast

Answers

Answer:

This is a normal distribution and we can use the standard score to compute for probabilities. We compute the standard score of the given.

Step-by-step explanation:

z = (x - mu)/sd

z = (2625 - 2600)/50 = 25/50 = 0.5.

Consulting the z-table, P(z <= 0.5) = 0.6915.

P(z > 0.5) = 1 - P(z <= 0.5) = 1 - 0.6915 = 0.3085.

I hope this helped! <3

Haven’t been able to figure this out, can someone help?

Answers

Answer:

D reorder the terms using communitive properties

because there is nothing else to do with this problem

Step-by-step explanation:

8 3√25 k

I checked the other problems and K was 12

Hope this helps ?

Need help on question 1,2 please please help please please help me please will mark the brainiest it’s due today please please help

Answers

For the top on you just multiple

Answers:

1. 750

2. 750 + 5*20 = 850

What is the perimeter of the figure?

A. 20.0 cm
B. 23.0 cm2
C. 25.0 cm2
D. 11.0 cm

Answers

Answer:

Answer is D, all you do is add the numbers

The perimeter of the figure is 20 cm.

The perimeter of the figure is the sum of the whole sides. When the whole sides of the figure is added the perimeter is known. Therefore,

perimeter = 5 cm + 3 cm + 1 cm + 2cm + 4cm + 5 cm

perimeter = 8 cm + 3cm + 9cm

perimeter = 20 cm

The perimeter of the figure = 20 cm

read more: https://brainly.com/question/20306407?referrer=searchResults

Leila bought 3 bananas, which weighed a total of 3/4 of a pound . if each banana weighed the same amount , what is the weight of each banana ?

Answers

Answer:

1/4

Step-by-step explanation:

3/4 (total weight)

3 bananas

(3/4)/3=1/4

PLS GIVE BRAINLIEST

Write the conclusion:
If Charlie goes to the store, then Harry loves school

A. Charlie doesn't go to the store
B. Harry does not love school
C. Charlie goes to the store
D. Harry loves school

a. then Harry loves school
b. Harry loves school
c. Charlie goes to the store,
d. Then Charlie goes to the store,

Question 5
Write the converse:
If the team does not play on Tuesday then the project is not due Friday.

a. If the project is not due Friday then the team does not play on Tuesday
b. If the team plays on Tuesday then the project is due FridayThis answer is incorrect.
c. If the project is due Friday then the team plays on Tuesday
d. The team plays on Tuesday if and only if the project is due Friday.

Question 7
Write the converse:
If Don goes to the store then George doesn't go to the store.

A. If George doesn't go to the store then Don goes to the store
B. Don doesn't go to the store if and only if George goes to the store.
C. If George goes to the store then Don doesn't go to the store
D. If Don doesn't go to the store then George goes to the store

a. If George doesn't go to the store then Don goes to the store
b. Don doesn't go to the store if and only if George goes to the store.
c. If George goes to the store then Don doesn't go to the store
d. If Don doesn't go to the store then George goes to the store

Question 9
Write a counterexample:
If the product of two numbers is 80, then one number must be 10.

a. x = 10 and y = 8
b. x = 1 and y = 8
c. x = 10 and y = 80
d. x = 1 and y = 80

Answers

Answer:

Step-by-step explanation:

beacause Harry loves school so he go to school

What percentage of the eggs hatched?

Answers

Answer:

Is there supposed to be a picture or what??

Step-by-step explanation:

Solve the problem. Sven can type 57 words per minute. How many words would he type in hour (40 minutes)? 2280 words 86 words 38 words 1520 words

Answers

Answer:

Sven would type 2280 words every 40 minutes.

Step-by-step explanation:

Multiply 57 by 40 and that should get you 2280.

Now, if it was truly an hour, you would multiply 57 by 60. The answer should be 3420.

A book company publishes 749 copies of
a novel and distributes them to 7 bookstores.
If each bookstore were to receive the same
number of copies, how many copies would
be sent to each store?

Answers

Answer:

107 copies to each books store

749copies/7bookstores
= 107

107 copies would be received from each bookstore

3(x+6)=3x + _
Please asap

Answers

Answer:

3x + 18

General Formulas and Concepts:

Pre-Alg

Distributive Property

Step-by-step explanation:

Step 1: Define expression

3(x + 6)

Step 2: Expand

Distribute 3 to both terms: 3x + 18

Answer

3x+18 or 3x+9 but I'm not sure which one

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These two polygons are similar y = [?]

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These two polygons are similar
y = [?]