Given angle DEF : angle RST, find the scale factor.

Given Angle DEF : Angle RST, Find The Scale Factor.

Answers

Answer 1

The scale factor is the bigger over the smaller, so [tex]\frac{4}{3}[/tex] is the scale factor.

To find x, we just use a proportion Biggest to Smallest:

[tex]\frac{4}{3}=\frac{16}{x}[/tex]

4x = 48

x = 12


Related Questions

Write the first six terms of the arithmetic sequence with the given first​ term, ​, and common​ difference, d.

Answers

9514 1404 393

Answer:

  340, 250, 160, 70, -20, -110

Step-by-step explanation:

The first term is given. Each successive term is found by adding the common difference to the one before.

  [tex]a_1=\boxed{340}\quad\text{given}\\a_2=340-90=\boxed{250}\\a_3=250-90=\boxed{160}\\a_4=160-90=\boxed{70}\\a_5=70-90=\boxed{-20}\\a_6=-20-90=\boxed{-110}[/tex]

Parrots can develop cognitive issues as they get older. This may compromise their memory, ability to learn, awareness, sight, and hearing. A researcher wishes to conduct a study to find which of two medicines, Medicine A or Medicine B, is more effective in improving cognitive health. A total of 150 parrots that are at least 12 years old will be randomly selected from sanctuaries around the United States. The researcher will get consent from all owners, treat the parrots for 1 year, and evaluate changes in cognitive health. Part A: How would the study benefit from adding a control group

Answers

Answer:

Ascertain the effectiveness of the treatment

Step-by-step explanation:

A control group is usually used in experimental. Research usually to establish a higher level of assurance or confidence in one's findings. The control group may be explained as that group in an experiment which do not receive the treatment given to the other group or groups, they may also be called the placebo group. Therefore, adding a control group, the treatment groups (Medicine A and Medicine B) would be weighed against the group which does not receive either of the two medicines.


In a right triangle, the length of the hypotenuse is
12 and the length of one leg is 8. What is the
length of the other leg?

Answers

the answer is B. the square root of 80

I need help with all of this

Answers

1. 286 ft
3. 289 ft

I don’t know the rest sry

If Houston is six hours behind London, what time would it be in Houston if it were 9 p.m. in London?

Answers

Answer:

3 p.m

Step-Hope this helps!!

Answer:

pretty sure 3pm

Step-by-step explanation:

You just subtract 9-6

So its 3pm :)

How to slove this question​

Answers

The answer is A 101 see pic for work

Which one is not a function? DONT USE THE LINK SCAM, I really need help

Answers

C is not a function

what is the distance between the points (-7,3) and (4,-5)

Answers

Answer:

The distance is 185 between the points (-7,3) and (4,-5)

Step-by-step explanation:

Answer:

Hi! The answer to your question is [tex]\sqrt{185}[/tex]

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

eBook
Video
A population has a mean of 300 and a standard deviation of 70. Suppose a sample of size 100 is selected and is used to estimate H. Use z-table.
a. What is the probability that the sample mean will be within +/- 6 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal
places.)

Answers

Answer:

Probability =0.9898

Step-by-step explanation:

Given that, mean = 4 = 300 standard deviation = 70 n = 100 PT = H = 128 oT = 0 / V n = 70/ v 100 = 7 a) within 6 = 300 ±6 = 294, 306 P(294< ī < 306) = P[(294 - 300) 7 < (ĩ -H ï) / o ĩ < (306 300) /7)] = P(-0.86 < Z < 0.86) = P(Z < 0.86) - P(Z < -0.86) Using z table, 0.8051 - 0.1949 %3D %3D %3D = 0.6102 Probability = 0.6102 a) within 18 = 300 t 18 = 294, 318 P(294< ī < 306) = P[(282 - 300) / 7< (ã -H i) / oī< (318 - 300) /7)] = P(-2.57 < Z< 2.57) = P(Z < 2.57) - P(Z < -2.57) Using z table, =0.9949 - 0.0051 =0.9898 Probability =0.9898

PLS HELP THIS IS DUE IN 10 MINUTES NUMBER 3 AND NO LINKS PLS

Answers

Answer:

A. -1/8x + 3/16

Step-by-step explanation:

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

Distribute the -1/2 into both the terms in the equation.

-1/2 * 1/4x = -1/8x

-1/2 * -3/8 = 3/16

Now combine both the expressions.

This makes your answer A,

[tex]-\frac{1}{8}x+\frac{3}{16}[/tex]

True or False: When using a permutation, order matters.

False

True

Answers

Permutations means a set or number of things can be arranged or ordered.
Answer: True

plz plz plz help me ill give brainliest i just really need help

Which rectangular prism has a surface area of 62 square units? [Note: Art is not drawn to scale.]

A rectangular prism with a length of 5, width of 3, and height of 1.

A rectangular prism with a length of 2, width of 2, and height of 6.

A rectangular prism with a length of 5, width of 3, and height of 2.

A rectangular prism with a length of 6, width of 2, and height of 4.

Answers

Answer:

C. when L =5, W = 3, H = 2

Step-by-step explanation:

2(wl + hl + hw)

2(15+5+3) = 46

2(4+12+12) = 56

2(15+10+6) = 62

Use the given graph to determine the limit, if it exists.

Answers

It’s not on the file

A random sample of 10 fields of corn has a mean yield of 22.5 bushels per acre and standard deviation of 5.84 bushels per acre. Determine the 99% confidence interval for the true mean yield. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answers

Answer:

The critical value that should be used in constructing the confidence interval is T = 3.25.

The 99% confidence interval for the true mean yield is between 16.498 and 28.502 bushels per acre.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.25 which is the critical value that should be used in constructing the confidence interval.

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 3.25\frac{5.84}{\sqrt{10}} = 6.002[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 22.5 - 6.002 = 16.498 bushels per acre

The upper end of the interval is the sample mean added to M. So it is 22.5 + 6.002 = 28.502 bushels per acre

The 99% confidence interval for the true mean yield is between 16.498 and 28.502 bushels per acre.

Helpp plzz will mark brainleast

Answers

Answer:

can we see the text and part a

like you know the question is asking abt that

12
Joe wants to rent a bike. The rental fee is dollars, after t hours, and is modeled by x= 5t +5.
Part A
If the rental fee for the bike Joe borrowed was $20, how many hours did he keep the bike?
2
3
4
1

Answers

Answer:

4

hours

i hope that helped

Step-by-step explanation:

Answer: 3 hours

It is correct trust me

Hurry, geometry math 7th grade

Answers

You need to find the area of the hexagon, and the area of the triangle.

The formula for the area of a triangle is

[tex]a = \frac{bh}{2} [/tex]

I hope this helps you a little.

Answer:

93.5 units^2

Step-by-step explanation:

a^2+b^2=c^2

a=3

b=?

c=6

b=√6^2-3^2

b=3√3=5.196

5.196×3=15.5884

15.5884×6

Whoever tells me the correct answer gets brainlest and thanks . please help me thanks!

Answers

Answer: Rectangle and Parallelogram

Step-by-step explanation:

Answer:

One could be a parallelogram that does not contain an internal right angle and the other a rectangle.  

Step-by-step explanation:

Using π = 3.14, what is the circumference of a circle with a diameter of 5.5 units?

Round your answer to the nearest hundredth.

Answers

Answer:

17.27

Step-by-step explanation:

so we do 5.5/2=2.75

2x3.14= 6.28

6.28x2.75=17.27

Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 44 cards, which was 10% of the cards sold for Mother's Day. How many cards were sold for Mother's Day?

Answers

Answer:

since 10% = 44cards and 10% is 1 of tenth of hundred then 44x10 = 440 is the numbers of card sold on the Mother's day

Please please help please please ASAP please please help

Answers

Answer:

r = 3 cm , LA= 30π cm^2 , SA = 48π cm^2

Step-by-step explanation:

This is a bit more difficult because we have to use the inverse formula

if

V = base area x height

we can obtain

base area = V/height

base area = 45π/5 = 9π cm^2

If

base area = radius^2 π

we can obtain

radius = √base area / π

r = √9 x π/π = 3 cm

base perimeter = 3 x 2 x π = 6π cm

LA = 6π x 5 = 30π cm^2

SA = 9π x 2 + 30 π = 48π cm^2

a train travels 18 km in 30 minutes.Find the speed of the train in km/h

Answers

Step-by-step explanation:

s=d/t

s=18/30

s=3/5km/h

Bro
I’m lazy and I don’t wanna do it if someone can do it it would mean a lot

Answers

Answer:

Option 2.

Step-by-step explanation:

X is a number greater than the equality. Therefore the arrow will go to the bigger side. It also is not equal to the equality hence the cirle is open.

Answer:

I feel ya. It's the second one. Have a nice day.

Step-by-step explanation:

Find the missing terms in the arithmetic sequence
15 , ____ , ____ , ____,17​

Answers

Answer:

n.m bnkjhb,nbhj

Step-by-step explanation:

Martina,Keith,and Josh have a total of $116 in their wallets. Martina has $9 less than Keith. Josh has 3 times what Keith has. How much does each have?

Answers

Answer:

keith=25,Martina=16,Joes=75

Step-by-step explanation:

In a geometric sequence, a2=2, a3=16, and a4=128.

Which equation can be used to find the nth term of the sequence, an?


an=8⋅2n−1

an=2n−1

an=14⋅8n−1

an=2⋅14n−1

Answers

Answer:

an = 1/4(8)^n-1

Step-by-step explanation:

Given the following in a geometric sequence, a2=2, a3=16, and a4=128.

nth term of a sequence = ar^n-1

a is the first term

r is the common ratio

r = a3/a2 = a4/a3

r = 16/2 = 128/16

r = 8

a2 = ar

2 = 8a

a = 2/8

a = 1/4

The nth term by substituting the parameters will be;

an = 1/4(8)^n-1

The multiplication rule of counting indicates that the product of the outcomes of each event gives the total number of possible outcomes for the series of all 5 events. There are 5 outcomes for the first city, 4 outcomes for second city, 3 outcomes for the third city, 2 outcomes for the fourth city, and 1 outcome for the final city.

Write the product of the outcomes.
(first city) · (second city) · (third city) · (fourth city) · (final city)

= 5 · 4 · 3 · 2

Note that factorial notation can be used here, since we have the product of consecutive decreasing counting numbers.

Recall that
n! = n(n − 1)(n − 2) 1.


Here,
n = 5
and
5! = 5 · 4 · 3 · 2

Step 3
Multiply to find the total number of possible outcomes.
5! = 5 · 4 · 3 · 2 · 1

= ?

So by the multiplication rule of counting, the sales representative has different choices for the order in which to visit the cities.

Answers

Answer:

third city

Step-by-step explanation:

NeverReady batteries has engineered a newer, longer-lasting AAA battery. The company claims this battery has an average life span of 17 hours with a standard deviation of 0.8 hours. Your statistics class questions this claim. You randomly select 30 batteries and find that the sample mean life span is 16.7 hours. If the process is working properly,

Answers

Answer:

the probability is 0.0202

Step-by-step explanation:

The computation is shown below:

Given that

The Average life span = 17 hours

Standard deviation = 0.8 hours

Sample = 30 batteries

Sample mean = 16.7 hours

Now based on the above information

The probability is

[tex]P (\bar x \leq 16.7) = P (\frac{\bar x - \mu}{(\frac{\sigma }{\sqrt{n} } )} \leq (\frac{16.7 - \mu}{(\frac{\sigma }{\sqrt{n} } )}\\\\= P(z\leq \frac{16.7-17}{\frac{0.8}{\sqrt{30} } } )\\\\= P(\leq -2.05)\\\\= 0.0202[/tex]

Hence, the probability is 0.0202

Find the mean for the data set. 19, 17, 17, 17, 17, 17, 13, 15, 16, 22, 18

Answers

Answer:

The mean is 17.091

Step-by-step explanation:

Which is bigger? 9^27 or 3^81? Hint: can you write 9^27?​

Answers

Answer:

3^81 is bigger

Step-by-step explanation:

3^81=4.43426488e38

9^27=5.8149737e25

i’m just answering bc it won’t let me ask a question until i answer somebody but 3^81
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