Mathematics College

in the coordinate plane, triangle ABC has vertices A(1,-2), B(1,0.5), and C(2,1) and triangle DEF has vertices D(4,-3), E(4,2), and F(6,3). The triangles are similar because DEF is the image of ABC under a dilation with center (_,_) and scale factor ___.

PLEASE HELPP​

Answers

Answer 1

Answer:

(A) the center of dilation is at (-2,-1)

(E) the scale factor is 2

In The Coordinate Plane, Triangle ABC Has Vertices A(1,-2), B(1,0.5), And C(2,1) And Triangle DEF Has
Answer 2

The triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

The ratio of the lengths of corresponding sides of triangles ABC and DEF.

AB and DE are corresponding sides, so:

AB/DE = (distance between A and B) / (distance between D and E)

= 2.5 / 5

= 0.5

BC and EF are corresponding sides, so:

BC/EF = (distance between B and C) / (distance between E and F)

=1.118 / 2.236

= 0.5

AC and DF are corresponding sides, so:

AC/DF = (distance between A and C) / (distance between D and F)

AC/DF = 2.236 / 4.472

= 0.5

We see that all three ratios are equal to 0.5.

Hence, the triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.

To learn more on Triangles click:

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Related Questions

plz help!! will give brainliest!

Answers

Answer:

C) 13

Step-by-step explanation:

Ok so

8√3

ANGLE KLM and ANGLE RST are supplementary angles. If ANGLE KLM is (7x) and ANGLE RST is (36-x) what is the value of x ? Please hurry, this is my final
19

18

30

24

Answers

Answer:

30

Step-by-step explanation:

Angle B measures 60°. What is the measure of the angle that is complementary to angle B?

30°

60°

120180°

Helppp pleaseee I don’t understand

Answers

Answer:

I think it is all false. 45 minutes is 19 and 55 is 23

Aaron made a $400 purchase using his credit card. The credit card has a simple interest rate of 12% each year. How much will Aaron owe in total at the end of the year?

Answers

Answer:  448 dollars

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

Work Shown:

P = 400 is the balance

r = 0.12 is the decimal form of the interest rate

t = 1 is the number of years

Use those values to get the simple interest to be

i = P*r*t

i = 400*0.12*1

i = 48

The amount of interest charged is $48

Add this onto the balance of 400 dollars and the total amount Aaron owes is P+i = 400+48 = 448 dollars.

Translate this sentence into an equation. The sum of 18 and Mabel's savings is 49. Use the variable m to represent Mabel's saving

Answers

Answer:

18 + m = 49 or 49 = 18 + m

Step-by-step explanation:

P.S Can I have brainliest?

the measure of the angle is..

Answers

Answer:

149

Step-by-step explanation:

149 and the angle beside b are supplementary (Let's call it A)

180-149=A=31

180-31=149

149=B

A veterinarian prescribes Benadryl for a dog with allergies. The recommended dosage is 3 mg per kg per day to be given in two doses. If your golden retriever weighs 67 lbs., how much Benadryl should he get in each dose? Round to nearest milligram.

Answers

Answer:

Each dose should be of 5.05 milligrams.

Step-by-step explanation:

To solve the present problem, it is necessary to first establish the equivalence between pounds and kilograms. Thus, 1 pound is equal to 0.453 kilograms. Therefore, the dog weighs about 30.35 kilograms (67 x 0.453), with which, since 3 milligrams must be applied for each kilogram of the animal's weight, 10.1 milligrams of Benadryl (30.35 / 3) should be applied.

Now, since Benadryl is applied in two doses, each of these doses should be 5.05 milligrams (10.1 / 2).

...............................

Answers

Answer:

What dose this mean

Step-by-step explanation:

Thx for the free points

20) Find the length of a side of a square with a
diagonal length of 100 cm.

Answers

Answer:

about 7.0710678cm

Step-by-step explanation:

it's a square so the sides are equal.

the diagonal is 100cm

This makes a right triangle with two sides

since the sides are equal, they both are equal to the square root of 50, which is half of 100

the square root of 50 is about 7.0710678cm

A rectangular field is 348 inches long and 7 yards wide

Answers

ill take a guess on what the actual question is..

        area: 2,436

perimeter: 710

Answer:

um i think it's cheese

Step-by-step explanation:

Because i like cheese

The Fruity Tooty company claims that the population proportion for each of its five flavors is exactly 20%. Jane counts 92 red candies in a 400-count sample.
what is the value of the z-test statistic? Answer choices are rounded to the hundredths place.

Answers

Answer:

86.96%

Step-by-step explanation:

s2 = a2 / n  

a2 =  4.34782608696 if just 1/1 flavour 400/400 was the case.

We are asked to account for 5 flavours 4.34782608696/5

Z test was  0.86956521739 for red candies

s2 = a2/n

a2 = 0.86956521739/1

s2 = 0.86956521739/1  

s2 = 0.87 hundredth place

Percentage  0.86956521739 x 100 = 86.96% to 100th place

madison's family drove to her grandmothers' house. they drove 58.6 miles in the first hour, 67.2 miles in the second hour, and 60.5 miles in the third hour they followed the same routine to return home. about how much far did madison's family travel?

Answers

Answer:

add the 3 distances

Step-by-step explanation:

58.6 +67.2 + 60.5 = ( use a calculator ) = 186.3

What is the equation of the line that has a slope of -3 and passes through the point (-2, 4)?
O y = -3x - 2
y=-3x
ООО
y=-3x - 4
y = -3x + 4
O y=-3x + 2

Answers

Y = -3x + b
Plug in points
4 = -3(-2) + b
4 = 6 + b, b = -2
Solution: y = -3x - 2

write the decimal 2.10 as a percent ​

Answers

Answer:

210%

Step-by-step explanation:

dat was too easy

Answer:

210% or 21% or 2.10%

its all about what 2.10 is out of (example:   /1=210%  /10= 21%  /100=2.1%

edit: if your wondering what the "/" means it means " out of"                (example: 1 out of 100 is 1%)

Which of the following represents an inequality statement with a solution of
Please help out I’ll give you brainliest

Answers

Answer:

the second to last one

Step-by-step explanation:

Sorry if it is incorrect!

A 20 ft tall ladder standing next to a statue casts a 12 ft shadow. If the statue casts a shadow that is 9 ft long then how tall is it?

Answers

Given that,

Length of the ladder = 20 ft

It casts a 12 ft shadow

To find,

If the statue casts a shadow that is 9 ft long then how tall is it?

Solution,

Let the ladder be x ft tall.

20 ft tall ladder = 12 ft shadow

9 ft tall ladder =

[tex]\dfrac{20}{12}\times 9\\\\=15\ ft[/tex]

Hence, the required length is 15 ft.

Help me please I’m confused

Answers

Answer:

Its c

Step-by-step explanation:

Joe marked up all the shoes in his store by 15%. If a pair of shoes originally cost $45, what was the price after the markup?

Answers

Answer:

The price would be $51.75.

Step-by-step explanation:

Since Joe is marking up by 15%, the price will increase for the pair of shoes.  Multiply 45 by 1.15 since you are increasing the price by 15% to get your final answer which is $51.75.

In preparation for the school play, the number of adult tickets sold by the ticket office was 5 less than twice the number of children's tickets. They sold 95 adult tickets. Write an equation you can use to find how many children's tickets were sold.

Answers

Answer:

3

Step-by-step explanation:

i think 5-2

PLEASE ANSWR I WILL GIVE 50 POINTS!!!!!
Which expression is equivalent to (1/ sqrt of y) ^-1/5 ?

Answers

Step-by-step explanation:

sqrty = y^(0.5)

1 / sqrty = y^(-0.5).

-1/5 = -0.2.

Therefore we have (1 / sqrty)^(-1/5)

= [y^(-0.5)]^(-0.2)

= y^[(-0.5)(-0.2)] (Law of indices)

= y^0.1

= 10th square root of y. (2nd option)

Answer:

1/sqrt 10th y

Step-by-step explanation:

1/(sqrt9)

19/76sprt

a bottle of eye drops has 0.45 fluid ounces of liquid how much liquid is in ten Forths bottles of eye drop.

Answers

The answer is 4,500 fluid ounces

The difference of 2 numbers is 7. The sum of those numbers is 23. What are the 2 numbers?

Answers

Let's write this question as a systems of equations to solve.

x-y=7 (the difference)

x+y=23 (the sum)

Through the process of elimination we get

2x=30

x=15.

With that value of x, we can plug it back into any of the previous equations to get the value of y.

(15)-y=7 (Solve for y)

y=8.

The two numbers are 15 and 8.

​Which of the numbers shown in the box below is the ​largest? ​​ 19/3, 31/5, 13/2, 25/4 pls help urgent

Answers

Answer: i think they are all the exact same 6 with a remainder of 1

Step-by-step explanation:

Just do q1-4 and hurry...... he’s coming for me!

Answers

1.order of operations

2.12 or variable

3.error

4.Line(12¨

hope this helps

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PLEASE HELPPP THIS IS SUE IN 5 MINUTESSS! I WILL MARK YOU AS BRAINLIEST!!!!!

The expression 12 dollars t can be used to find the total cost for t tickets to the movie theater. Choose the correct number expression to represent 12 dollars times t.
A) 12+t
B) 12-t
C) 12/t
D) 12*t

Answers

Answer:

D) 12*t

Step-by-step explanation:

It askes for the correct number expression to represent 12 dollars times t

and * means times so this expression 12*t literally means 12 dollars times t

so D) is your answer or D) 12*t

good luck with ur assignment or test! hope u aced it.

I NEED REAL HELP PLEASEE!!! a store has televisions on sale for 20% off the original price. The original price of a television is 150 before the sale what will be the sale price of the television set

a. 142.50

b.135

c.130

d.127.50

e.120

Answers

Answer:

120

Step-by-step explanation:

E

Answer:

$120

Step-by-step explanation:

there are 7209 students at a amusement park. to the nearest thousands, how many students are in the park

Answers

Step-by-step explanation:

In ordee to round the number 7209 to the nearest thousands, we take a look at the digit in the hundreds place (which is 2).

Since 2 < 5, we round the number itself down to the nearest thousands:

7209 => 7000.

Hence our rounded number is 7000.

Answer:

7000

Step-by-step explanation:

The thousandths place in 7209 is less than 5, the number will change to 7000.

Solve the expression. 0.02 × 0.3
A. 0.6
B. 0.06
C. 0.006

Answers

c. 006 is the answer

Find the value of x → x² = (Q - A)(Q - B)(Q - C) ….. (Q - Z)

Answers

Answer:

[tex]\boxed{0}[/tex]

Step-by-step explanation:

x² = (Q - A)(Q - B)(Q - C) ... (Q - Z)

x² =  (Q - A)(Q - B)(Q - C) ... (Q - P)(Q - Q)(Q - R) ... (Q - Z)

x² = (Q - A)(Q - B)(Q - C) ... (Q - P)(0)(Q - R) ... (Q - Z)

x² = 0

x = 0

Answer:

t8y8 uv7g7 ug8 ugy ug h 7 v jvu utyc7 . hit u ut taj h

Step-by-step explanation:

fucjvjvi j jvu jvivu igigi ivigi iigihi ivigi igih

plis help

Find the distance from the origin to the graph of 6x+3y+2=0

a.
0.33
b.
0.31
c.
0.3
d.
0.32

Answers

Answer:

Step-by-step explanation:

B is the answer

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