What is the scale factor from ABC to DEF?

What Is The Scale Factor From ABC To DEF?

Answers

Answer 1

Within similar triangles, the angles are the same. So, we need to look at the side lengths then.

72 to 12

66 to 11

42 to 7

In each pair of corresponding side lengths, the original side length from triangle ABC is divided by 6 (or multiplied by 1/6) to get the smaller side length on triangle DEF.

The scale factor from ABC to DEF is 1/6.

Hope this helps!


Related Questions

the area of kitchen is 149m^2 how many tiles each of area 0.2m^2 are needed to flooring the kitchen what will be the total coast at the rate of rs 250 per tiles..​

Answers

Answer:

186,250 rs

Step-by-step explanation:

So

149m is the whole space

0.2m is one tile space

250 rs = 0.2 tiles (so 250=1)

so if there is


HELP PLZ!! Convert 80 mph (miles per hour) to feet per second.

Answers

Answer:

117.33333 feet per second

Step-by-step explanation:

can someone pls help me!! :)

Answers

Answer:

I think the answer is B

the prouduct of any two irrational number is​

Answers

Answer:

mostly rational but sometimes irrational

The product of any two irrational number can be rational or irrational depending on the two numbers.

Isabel and Sophia share a bag of 42 sweets. Isabel has 16 sweets. Find the ratio of Sophia's sweets to Isabel's sweets.

Answers

Answer:

ratio of Sophia's sweets to Isabel's sweets is

13:8

Answer:

you first have to find the number of sweets that sophia got.by subtracting the total number of sweets minus the number of sweets that isabel got which will be

42-16=26

therefore the ratio will be

16:26

8:13

I hope this helps

Prove that:
Sin^2A+Sin^2B.Cos2A=Sin^2B+Sin^2A.Cos2B​

Answers

Answer:

See Below.

Step-by-step explanation:

We want to prove that:

[tex]\displaystyle \sin^2 A + \sin^2 B \cdot \cos 2A = \sin^2 B + \sin^2 A \cdot \cos 2B[/tex]

Recall that double-angle identity for cosine:

[tex]\displaystyle \begin{aligned} \cos 2x &= \cos^2x - \sin^2 x \\ &= 2\cos^2x -1 \\ &= 1 - 2\sin^2 x\end{aligned}[/tex]

Substitute cos(2A) for its third form:

[tex]\displaystyle \sin^2 A + \sin^2 B \cdot \left(1 - 2\sin^2 A\right) = \sin^2 B + \sin^2 A \cdot \cos 2B[/tex]

Distribute:

[tex]\displaystyle \sin^2 A + \sin^2 B - 2\sin^2B \sin^2A = \sin^2 B + \sin^2 A \cdot \cos 2B[/tex]

Rewrite:

[tex]\displaystyle \sin^2 B + \left(\sin^2 A - 2\sin^2 B\sin^2 A\right)[/tex]

Factor:

[tex]\displaystyle \sin^2 B + \sin^2A\left(1 - 2\sin^2 B\right) = \sin^2 B + \sin^2A\cdot \cos 2B[/tex]

Double-Angle Identity for cosine:

[tex]\displaystyle \sin^2 B + \sin^2 A \cdot \cos 2B \stackrel{\checkmark}{=} \sin ^2 B + \sin^2 A\cdot \cos 2B[/tex]

Hence proven.

Element X is a radioactive isotope such that every 42 years, its mass decreases by
half. Given that the initial mass of a sample of Element X is 50 grams, how long
would it be until the mass of the sample reached 45 grams, to the nearest tenth of a
year?

Answers

Answer:

6.38548 years

Step-by-step explanation:

1 = 2 [tex]e^{42k}[/tex]

1/2 =   [tex]e^{42k}[/tex]

ln(1/2) = 42k ln(e)

ln(1/2)/42 = k

k = -0.01650

~~~~~~~~~~~~~~

45 = 50 [tex]e^{-0.01650t}[/tex]

45/50 =   [tex]e^{-0.01650t}[/tex]

ln(45/50) =  -0.01650 t ln(e)

ln(45/50)/ -0.01650 = t

t = 6.38548 years

The number of years for the radioactive element to reach a mass of 45 grams is given by t = 6.384129 years

What is half-life of an element?

The half-life of a radioactive isotope is the amount of time it takes for one-half of the radioactive isotope to decay. The half-life of a specific radioactive isotope is constant; it is unaffected by conditions and is independent of the initial amount of that isotope.

Half-life (symbol t½) is the time required for a quantity (of substance) to reduce to half of its initial value

The decay constant λ is = 0.693/t½

where t½ is the half-life of the element

Given data ,

Let the number of years be t

Let the initial mass of the element be a = 50 grams

The final mass of the element be ( a - x ) = 45 grams

Now , Element X is a radioactive isotope such that every 42 years, its mass decreases by half

And , half life t½ = 42 years

So , the decay constant k = 0.693/t½

k = 0.693 / ( 42 )

k = 0.0165

And , k= 2.303/t {log (a/a-x)}

So , t = 2.303 / ( 0.0165 ) log ( 50/45 )

On simplifying , we get

t = 6.384129 years

Hence , the number of years for the radioactive element to reach 45 grams is 6.384129 years

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Which set of numbers are rational numbers but not integers whole numbers or natural numbers?

Answers

You chose the correct answer. Hope my answer helped u :)

The set of numbers are rational numbers but not integers whole numbers or natural numbers are { 1/2, 1/4, 1/8}.

Hence the third option is correct.

Use the concept of rational number defined as:

A rational number is a number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

It can be represented as p/q,

Where p and q are integers and q is not equal to zero.

Examples of rational numbers include 1/2, -3/4, and 5/7.

Now analysing the given options we can see that,

The numbers 1/2, 1/4 and 1/8 are rational but not an integer.

Therefore,

The set  { 1/2, 1/4, 1/8} is the correct one, which is option third.

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Leo took part in a diet program. He weighed 190 pounds at the start of the program. During the first week, he lost 4.3 pounds. During the second week, he had lost 2.8 pounds. The third week, he gained 0.7 pounds. The fourth week, he lost 1.9 pounds. What did Leo weigh at the end of the fourth week?

Answers

Answer:

Leo's weight at the end of the fourth week = 181.7 pounds

Step-by-step explanation:

Leo's initial weight = 190 pounds

First week = lost 4.3 pounds

New weight = 190 pounds - 4.3 pounds

= 185.7 pounds

Second week = lost 2.8 pounds

New weight = 185.7 pounds - 2.8 pounds

= 182.9 Pounds

Third week = gained 0.7 pounds

New weight = 182.9 pounds + 0.7 pounds

= 183.6 pounds

Fourth week = lost 1.9 pounds

New weight = 183.6 pounds - 1.9 pounds

= 181.7 pounds

Leo's weight at the end of the fourth week = 181.7 pounds

Alternatively

New weight = initial weight - first week - second week + third week - fourth week

= 190 - 4.3 - 2.8 + 0.7 - 1.9

= 181.7 pounds

HELPPPPPPPPP !!!!!!!!! plzzzzz

Answers

Answer:

a) its root 2

b) 2

c) 3,4,5,6 (just all x numbers)

d) inverse is just reverse of points ex: (2,1) for the first set

also what is that equation up top am i suppose to use that for something

Step-by-step explanation:

If you travel 4 miles around a circle with a radius of 1 mile, what is the central angle (q)?

A=66
B=229.18
C=114.59
D=240

Answers

Answer:

229.18 degrees

Step-by-step explanation:

The circumference of a circle with radius r is 2×pi×r.

So if it has a radius of 1 mile, then the circumference is 2×pi×1=2pi miles.

So if we travel 4 miles, then the percentage of this circle we traveled is 4/(2pi)=63.66% approximately.

There are 360 degrees in a circle and we want to how much of that rotation belongs to traveling 4 miles of the circumference of a circle that measures 2pi miles. So 63.66%×360 degrees =229.18 degrees.

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART

Answers

Answer:

a7 = 55 + (7-1) 10

Step-by-step explanation:

See,

It's given that it will take 7 hours for Jiya to move.

$55 are charged for 1 (first) hour. Now, 6 hours are left (unpaid). $10 per every hour after that.

Among the total 7 hours, the payment for first hour is done ($55) so we are left with the other 6 hours multiplied by 10.

Therefore, the correct option is:

a7 = 55 + (7-1) 10

Triple a number is 18.

Answers

hi

so 3X = 18

      X = 18/3 = 6

Answer:

6

Step-by-step explanation:

6 + 6 + 6 = 18

Function: y= x^2 + 5x - 7
Vertex:
Solutions:
( , ) and
( , )

Answers

Answer:

Vertex is (-2.5, - 13.25) and x=(-5±sqrt(53))/2

Step-by-step explanation:

x^2+5x-7

x^2+5x+(2.5)^2-(2.5)^2-7

(x+2.5)^2-13.25. Vertex is (-2.5, - 13.25)

Solution of the functions are x=(-5±sqrt(53))/2

2/3 divided by -2 (in fraction form)

Answers

2/3 divided by -2

now,

answer= 2/3×1/2

we need to receprocal the number if we have to change division into multiplication...

= 1/3

we cut 2 as it is equal and present in both denomenator and numerator....

Answer:

-2/6

Step-by-step explanation:

a rectangular garden is 52m long and 34m broad a path 2m wide is running inside the garden calculate the cost of travelling the path at rs 40 per sq metre snd calculate the cost of covering the empty space with tires at rs 20 per sq metre​

Answers

Answer:

Answer From Gauth Math

Step-by-step explanation:

Determine if the following conjecture is valid.

Given: If a computer sales person sells at least 15 computers in a week, then she gets a bonus. Mandy sells 12 computers in a week.

Conclusion: Mandy gets a bonus.

Answers

Answer:

Not valid

Step-by-step explanation:

Because 12 is minor than 15

The conjecture is not valid.

Mandy not gets a bonus.

Given that:

If a computer sales person sells at least 15 computers in a week, then she gets a bonus.

Maddy sells 12 computers in a week.

Conclusion: Maddy gets a bonus.

We have to check the conjecture is valid or not.

What is Conjecture?

A conjecture is a conclusion or proposition that is proffered on the tentative basis without the proof.

Now,

Here, if a person sells 15 or more computers in a week, she gets a bonus.

Maddy sells 12 computers in a week, which is less than 15.

So, Maddy did not get a bonus.

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PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Larry is going on a road trip for work. He is recording how many miles he drives, and how many gallons of gas he uses for his expense report. Which is the independent variable?
A. the amount of gasoline Larry uses
B. the type of car Larry drives
C. the type of roads Larry drives on
D. the amount of miles Larry drives

Answers

Answer: option A the amount of gasoline larry uses

Step-by-step explanation:

This is because a independent variable is not changed by other variables.

please click thanks and mark brainliest if you like :)

Option A: The amount of Gasoline Larry uses. I guess you could say that the dependent variable being (D) is also a Constant Variable because the amount of miles he travels to reach his destination is not changeable. Brainliest plz. Lol


The answer is Option A!

what is the measure of B?

Answers

Answer:

A. 28°

Step-by-step explanation:

Since sides AC and AB are congruent, their opposite angles are congruent.

m<B = m<C = 28°

Answer: A. 28°

Answer:

The answer is A

Step-by-step explanation:

What you have is an isosceles triangle. AC = AB <A cannot be 28 degrees so the triangle is not equilateral.

If the 2 sides are equal, the 2 angles opposite these equal sides are also equal.

<B = <C

<C = 28 degrees

<B = 28 degrees

What is the slope of the line?

Answers

Answer:

A number that describes both the direction and the steepness of the line is known as slope of the line .

mp rs 700 and sp rs 524 find discount step by step.

Answers

Cost price=CP=700Sold price=SP=524

[tex]\boxed{\sf Discount=CP-SP}[/tex]

[tex]\\ \sf\longmapsto Discount=700-524[/tex]

[tex]\\ \sf\longmapsto Discount=176[/tex]

Answer:

cost price(cp)=rs.700

sold price(sp)=rs.524

discount =cp-sp

discount =700-524

discount =rs.176

Which inequality is represented by this graph?
10
I
(0.1) (6.0)
X
- 10
10
- 10

Answers

Answer:

C

Step-by-step explanation:

Because in graph there are boxes

And boxez are squre

And C is the answer

You Fool

Yoo Fool

A paper factory needs to ship an order for 4,500 sheets of yellow paper. The factory will put 50 sheets in each box. How many boxes will the paper factory need to us

Answers

Answer:

90

Step-by-step explanation:

If they put 50 sheets per box, then it is just simple division.

4,500 divided by 50 is 90.

Answer:

90 boxes

Step-by-step explanation:

They need to ship 4500 sheets of paper.

They put 50 pages in each box.

# of boxes they will need = amount of paper / amount of paper they put in each box

# of boxes they will need = 4500 / 50 = 90

1. Eddie ordered customized cups. He was
charged a $30 design fee plus $8 per cup. His
total order was $334. How many cups did Eddie
order?

Answers

Answer:

38 cups

Step-by-step explanation:

8c + 30 = 334

8c = 334 - 30

8c = 304

c = 304 ÷ 8

c = 38 cups

The total number of cups ordered by Eddie is 8

Design fee = $30

Cost per cup = $8

Total cost of order = $334

Let the number of cups ordered = p

The total cost of order can be represented by the equation :

Design cost + (cost per order × Number of orders)

$30 + (8p) = $334

8p = 334 - 30

8p = 304

p = 303 / 8

p = 38

Hence, the number of cups ordered is 8

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which letter has horizontal not vertical symmetry H, W, Y, E

Answers

The best answer out of all of that is W if I’m right

I thing W,Y is righ am i right.

branches of chemistry

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{There is approximately 5 branches of chemistry.}\\\\\large\textsf{The branches are...}}\\\\\bullet\large\text{Analytical chemistry}\\\bullet\large\text{Biochemistry}\\\bullet\large\text{Inorganic chemistry}\\\bullet\large\text{Physical chemistry}\\\bullet\large\text{Organic chemistry}[/tex]

[tex]\star\large\textsf{\ \underline{\underline{Analytical chemistry}} is the science that prevails, communicates, and}\\\large\textsf{process the information about its arrangement of the matter.}\\\\\star\large\textsf{\ \underline{\underline{Biochemistry}} is the study of the process in the cellular \& molecular}\\\large\textsf{level}[/tex]

[tex]\star\large\textsf{\ \underline{\underline{Inorganic chemistry}} is the behavioral mood of the inorganic and the} \\\large\textsf{organometallic compounds. It is distributed with the synthesis.}\\\\\star\large\textsf{\ \underline{\underline{Physical chemistry}} is the changing and exchange of the materials.}[/tex]

[tex]\star\large\textsf{\ \underline{\underline{Organic chemistry}} is the study of the structure, property,}\\\large\textsf{(or properties) \& reactions of the organic compounds}[/tex]

[tex]\large\boxed{\frak{Good \ luck \ on \ your \ assignment \ \& \ enjoy\ your\ day!}}[/tex]

~[tex]\rm{Amphitrite1040:)}[/tex]

The segments shown below could form a triangle.

Answers

false

to form a triangle the two smallest lengths must be added together and greater than the largest length. in this problem, 9 plus 7 is equal to 16 therefore it won’t form a triangle.

Who has hegarty maths as there school home work?

If you do please let me know below :):):):):):):)

Answers

Answer:

1200$

Step-by-step explanation:

All right, you usually pay 160 dollars but with the extra 25% off sale, you pay 120(160 ÷ 4 = 40, 160 - 40 = 120). BUT you have the extra VAT charge you will pay 150 dollars every day. You stay for 8 nights so 150 × 8 = 1200

Geometry, please answer question ASAP

Answers

I think it’s c ps I just need more points so I’m wrong

What is the answer to P(4)=4n + 5

Answers

Answer:

P(x) = 4n+5

P(4) = 4(4)+5

P(4) = 16+5

P(4) = 21

The answer is 21.

Let me know if this helps!

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