What is the scale factor from triangle ABC to triangle PQR?

What Is The Scale Factor From Triangle ABC To Triangle PQR?
What Is The Scale Factor From Triangle ABC To Triangle PQR?

Answers

Answer 1

The scale factor from triangle ABC to triangle PQR is 2/3 or 3/2, depending on the direction of comparison.

To find the scale factor from triangle ABC to triangle PQR, we need to compare the corresponding side lengths of the two triangles.

Side AB corresponds to side PQ, which has a length of 6 units.

Side BC corresponds to side QR, which has a length of 9 units.

Side AC corresponds to side PR, which has a length of 12 units.

So, the scale factor from triangle ABC to triangle PQR can be found by comparing the ratio of corresponding side lengths:

AB/PQ = BC/QR = AC/PR

Using the values we found above, we can write:

|AB/PQ| = 2/3

|BC/QR| = 3/4

|AC/PR| = 4/5

Since all three ratios are equal in magnitude, we can take any one of them to be the scale factor. Therefore, the scale factor from triangle ABC to triangle PQR is 2/3 or 3/2, depending on the direction of comparison.

To learn more about scale factor please click on below link.

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Related Questions

50 POINTS!!!!!!!!
Abbie, Chloe, and Xander are playing a dice game. The game consists of ten rounds. In each round, each person takes a turn rolling two dice and earns or loses points based on what they role. Points are awarded according to the following table: Roll Points Same number on both dice +3 Different numbers, with an even sum +1 An odd sum -2 At the end of ten rounds, the person with the highest number of points wins. In the first three rounds, Xander had the following rolls. Write an addition expression that can be used to find his point total at the end of the three rounds

Answers

Same number on both dice ( in first throw) + Different numbers ,with an even sum (in second throw) + An odd sum(third throw) + An odd sum(fourth throw) + Different numbers ,with an even sum (in fifth throw)

How to solve rolled dice problems?

From the given ,question Abbie, Chloe, and Xander are playing a dice game.

They are playing with two dices.

The game rules are;

Same number on both dice = +3

Different numbers, with an even sum = +1

An odd sum = -2

After five rounds, score of Chloe = +1

1 = 3 + 1 + (-2) + (-2) + 1

⇒ Same number on both dice ( in first throw) + Different numbers ,with an even sum (in second throw) + An odd sum(third throw) + An odd sum(fourth throw) + Different numbers ,with an even sum (in fifth throw)

If we alter the arrangements, In each case you will get sum as (+1), as integers satisfy both Commutativity and Associativity with respect to addition.

Complete question is;

Abbie, Chloe, and Xander are playing a dice game. The game consists of ten rounds. In each round, each person takes a turn rolling two dice and earns or loses points based on what they role. Points are awarded according to the following table:

Same number on both dice +3

Different numbers, with an even sum +1

An odd sum -2

In the first five rounds, Chloe had a combined score of 1 point. Determine what five types of rolls she had in these first rounds. Express your answer in complete sentences.

Read more about Dice rolls at; https://brainly.com/question/2140973

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Answer:

-2

-2

-2

-2

-2

The least number of rounds will be four. She will need to throw four, (different numbers, with an even sum).

Step-by-step explanation:

A gymnastics school offered a special for enrollment where a new student could enroll for half the price after paying a $17.50 application fee. Twelve new students enrolled, and the school collected $750. Which equation can be used to find p, the regular price of enrollment?

Answers

Answer:

12 (p/2 + 17.50) = 750 equation can be used to get regular price of enrollment.

Step-by-step explanation:

So when a new student gets enrolled by paying a $17.50 application fee and gets a value of price halved at p/2

where p = regular price of enrollment

So in reality, for the student to be enrolled he/she must pay = (p/2) + $17.50 application fee to be able to get that special offer.

So Twelve new students enrolled, meaning they paid: 12 (p/2 + 17.50 application fee)

The amount they all paid is $750.

To get the regular price of enrollment from the price that included the application fees, the equation to use would be: 12 (p/2 + 17.50) = 750

The correct answer is 12 ([tex]\frac{p}{2}[/tex] + 17.50) =750

Explanation:

In mathematics, an equation represents equality; this means mathematical expressions are placed to the sides of the equality sign and these have the same value. Moreover, if an equation is written based on a situation or description, the values should include the appropriate mathematical symbols (+, -, x, etc) depending on how each of the factors in the equation relates.

In the case presented, it is known the total collected was $750 and due to this, this value should be placed to one side of the symbol =. Moreover, this value was obtained as students paid 17.50 of the application fee plus half of the price. This can be written as [tex]\frac{p}{2}[/tex] (a half price or price divided 2) + 17.50 (application fee). Finally, these two values should be multiplied by 12 (number of students that paid). According to this, the equation is 12 ([tex]\frac{p}{2}[/tex] + 17.50) =750.

Is y=1/4x a function

Answers

i sure is crosses through the orgin once straight through the middle plus its linear slope of 4

What is the equation of a line that is parallel to the line y = 2x + 7 and passes through the point (–2, 4)? A. y = −12x + 3 B. y = 2x + 4 C. y = −12x − 2 D. y = 2x + 8

Answers

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept)

y = 2x + 7 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes, thus

y = 2x + c ← is the partial equation

To find c substitute (- 2, 4) into the partial equation

4 = - 4 + c ⇒ c = 4 + 4 = 8

y = 2x + 8 → D

Find the slope when give. the following points : (1,6) and (3,-4)

Answers

Answer:

y = -5x + 11

Step-by-step explanation:

Slope (m) =

ΔY

ΔX=

-5

1

= -5

θ =  

arctan( ΔY ) + 360°

ΔX

= 281.30993247402°

ΔX = 3 – 1 = 2

ΔY = -4 – 6 = -10

Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186

Frank has been driving at a constant speed for 3 hours, during which time he traveled 195 miles. Frank would like to know how long it will take him to complete the remaining 455 miles, assuming he maintains the same constant speed. Help Frank determine how long the remainder of the trip will take. Include a table or diagram to support your answer​

Answers

Answer:

10.6 hours

Step-by-step explanation:

Explain what is square root in simple form using example. ​

Answers

If something is written in its simplest radical form, that means that you have already found all possible roots and eliminated any radicals from the denominator of a fraction. ... For example, if your fraction is 2/√7, multiply by √7/√7 to get 2√7/√49. This will simplify to 2√7/7.  hope this helps

Answer:

Square roots are the opposite of “squaring” a number, or multiplying it by itself. For example, three squared is nine (3 2 = 9), so the square root of nine is three. In symbols, this is √9 = 3. The “√” symbol tells you to take the square root of a number, and you can find this on most calculators.

Step-by-step explanation:

hope it helps

Chase and sara went to the candy store. Chase bought 5 pieces of fudge and 3 pieces of gum for 5.70. Sara bought 2 pieces of fudge and 10 pieces of gum for 3.60. Determne If I were to buy 20 pieces of fudge and 20 pieces of bubble gum, it would cost me $

Answers

Let, price of fudge and gum is x and y respectively.

Converting given statements into mathematical equation.

We get :

5x + 3y = 5.70  ....1)

2x + 10y = 3.60 ....2)

Solving equation 1 and 2, we get :

x = $1.05 .

y = $0.15 .

Price of buying 20 pieces of fudge and 20 pieces of bubble gum is :

P = 20( 1.05 ) + 20( 0.15 )

P = $24

Hence, this is the required solution.

Box of 36 rubber bands he used 1/4 of the rubber bands in the box how many rubber bands did use



Pleas help

Answers

Answer:

He used 9 rubberbands.

pls give me brainliest if correct.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

36 divided by 1 over 4 equals 9

9+9+9+9=36

1+1+1+1=36

-----------

4  4  4  4

The measure of an angle is 108°. What is the measure of a supplementary angle?

Answers

Answer:

72 degrees

Step-by-step explanation:

180-108=72

where I got 180: a supplementary angle is 180 degrees

1 3/4 cups of flour per 1/8 cup of milk

Answers

Answer:

14

Step-by-step explanation:

Divide them.

14. You have to divide them.

Help, please. I will give brainliest to anyone that answers first. ​

Answers

Answer:

5000 I think bc 5 times 1000 is 500

Answer:

Step-by-step explanation:

1000 meter = 1 kilometer

1 km= 1000 meter

constant proportionality

y/x=k

y is km , x is meter

1/1000=k

y=1/1000 x (x is the number of meters)

meter                              Km

250                                0.25

12                                   12/1000=0.012

1                                      1/1000

kilometer                      meter

5                                   5000

20                                20000

0.3                               300

Can someone please help me

Answers

Answer:

z

Step-by-step explanation:

Z is the answer I hope it helped

Picture provided

Please solve.

Answers

Step-by-step explanation:

hope this helps, good night!!!!

A. Corresponding angles

B.Same side interior angles

C. Alternate exterior angles

D. alternate interior angles

Answers

Answer:

Alternate exterior angles

PLS ANSWE PLS NEED HELP ASAP

Answers

Answer:

D. 75

Step-by-step explanation:

Bc they are congruent that means that DAY has angles 60 and 45 so you add them together to get 105 and bc triangles are 180 deg, the last angle is 75 (180-105 = 75)

180-105 = 75. Sorry if wrong

Multiplying 2×1 3/7 is equal to how much

Answers

Answer:

20/7 or 2 and 6/7

Step-by-step explanation:

This equation works out to 2/1 • 10/7, which we can easily see equals 20/7, or 2 and 6/7, by multiplying the numerators and denominators.

What is the solution?

-6x - 1 =23

Answers

Answer:

X=-4

Step-by-step explanation:

the first thing you do is add 1 to both sides to make the variable be alone

-6x=24

now divide 6 on both sides the variable cancels out and your left with 24/-6

so your answer is -4

Carla is ordering pizzas for delivery. Each pizza costs $8, and there is a $6 delivery charge for the order. Write the function f(x), that Carla can use to determine the amount she will pay for having x pizzas delivered.

Answers

Answer:

8x+6

Step-by-step explanation:

Because each pizza is $8 you would have to multiply 8 by the amount of pizzas. Then you add the six because you only pay for the delivery charge once.

Zevel overheard Bradley say he got a 66% on the last test. If Zevel only got one-third what
Bradley got, what is Zevel's score?

Answers

Answer:

22

Step-by-step explanation:

66 ÷3=22

3= one third

i believe it’s 1.98 because if you divide 60% by 1/3 You get 1.98

the sum of the 2 integers is -112. if one of them is -109 find the other​

Answers

Answer:

let x and be the two integers

x+y=-112

if one of them is -109

let x be one of the that is substitute-109 to the above equation

-109+y=-112

collect like terms to the left hand side.

-109+112=-y

3=-y

move the sigh to the constant

y=-3

3.186e + 15
Convert this into a number will give Brainliest please answer as soon as possible!

Answers

Answer:

3,186,000,000,000,000

Explanation:

3.186e + 15 → 3.186E+15 [What I am implying] = 3.186 × 10^15 = 3.186 × 1,000,000,000,000,000 = 3,186,000,000,000,000

____________________

People may also get the constant e mixed up if you are referring to scientific notation. I know it is the way alot of people write it, but sometimes the calculator can mix it up.

Because 3.186e + 15 may come out as 23.66044590547

3/4 + 1/6z = 35/4 solve

Answers

z=48 hope this helps

Answer:

z = 48

Step-by-step explanation:

Given

[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{6}[/tex] z = [tex]\frac{35}{4}[/tex]

Multiply through by 12 ( the LCM of 4 and 6 )

9 + 2z = 105 ( subtract 9 from both sides )

2z = 96 ( divide both sides by 2 )

z = 48

Please send an answer quick I really need it the picture is above.

Answers

Answer:

-132

Step-by-step explanation:

When you plug in -8 to every x you get -2(8)^2+2(8)-20 which gives you -132.

URGENT NEED HELP DUE IN 12 AM

Answers

Answer:

ASA

Step-by-step explanation:

you can prove it by using ASA (Angle Side Angle)

ASA is a postulate that states if two angles and one side are congruent to another triangle.

hope this helps :)

brainliest?

Answer:asa

Step-by-step explanation:

because it is lol

The Huggins family went out to dinner. The price of the meal was $62.95. The sales tax is 8% of the
price of the meal. The tip is 15% of the meal and the sales tax. How much money did the family
pay for the meal, including tax and tip?

Answers

Answer:

$62.95 (meal) + $5.03 (sales tax) +$.75 (sales tax tip) + $9.44 (meal tip)

Total: $78.17

Answer:

$78.19

Step-by-step explanation:

To find the total after the sales tax is charged you have to do

$62.95 x 1.08 (1 = to the total and .08 to add sales tax value) =$67.986  round*

Now you take $67.99 (has been rounded) and multiply but .15 to find out what is 15% of $67.99 , it comes out to be 10.1979 (Round)

Now to finish you add $67.99 +$10.20 = $78.19

is this a function? x

Answers

the correct answer for this question is 2.the reason why it is 2 is because your adding 2 to each one.

The correct answer is 2

Katie wants to buy a bracelet. She only has $30 to spend. She has found a bracelet with a regular price of $45 and a discount of 35%. If the sales tax is 7%, will she have enough to buy the bracelet? If so, how much money will Katie have left? If not, how much more money will she need?

Answers

Given :

Money Katie has, M = $30.

She has found a bracelet with a regular price of $45 and a discount of 35%.

The sales tax is 7%.

To Find :

Will she have enough to buy the bracelet.

Solution :

Original price = $45 .

Price after discount = $( 45 - 45×0.35) = $29.25 .

Selling Price = $( 29.25 + 29.25×0.07 ) = $31.2975 .

Since, selling price is greater than $30.

Money needed = $( 31.2975 - 30 ) = $1.2975 .

Therefore, Katie will not buy the bracelet.

8oz./1 cup = ?/12 cups. How many ounces are in 12 cups?

Answers

Answer:

12cups=96oz.

Step-by-step explanation:

multiply the volume value by 8

12 oz equals 1.50 cups. 1 ounce is equivalent to 0.125 cups, and there are 1.50 cups in 12 ounces.

- Find the sum of (2+4i) and (3-6i)

Answers

(2+4i )+(3-6i)

= 2 + 4i+3 -6i

= 5 - 2i

Answer:

5-2i

Step-by-step explanation:

(2+4i)+(3-6i)

2+4i+3-6i

5-2i

Please correct me if I am wrong

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