A student states that the translation of triangle ABC is A’B’C’. What measurements or properties of lines AA', BB', and CC' do you need to confirm that it is a translation? :D

A Student States That The Translation Of Triangle ABC Is ABC. What Measurements Or Properties Of Lines

Answers

Answer 1

If you can show that the following two items are true

AA' = BB' = CC'AA' || BB' || CC'

then you have shown that triangle A'B'C' is a translated or shifted copy of triangle ABC. In other words, they are the same triangle.


Related Questions

The Oxy coordinate plane for two parallel lines a and a' has the equations 2x - 3y-1 = 0 and 2x - 3y + 5 = 0. respectively. Which vector translation to convert a to a'

Answers

Answer:

Remember that a vector translation can be written as:

T(a, b)

And if we apply this to a random point, (x, y), the translation gives:

T(a, b)(x, y) = (x + a, y + b)

now, remember that a general line can be written as:

y = m*x + s

Then a point of that line can be written as: (x, m*x + s)

Then if we apply the translation to a point in the line, we get:

T(a, b)(x, m*x + s) = (x + a, m*x + s + b)

Here we have two lines:

2x - 3y - 1 = 0

2x - 3y + 5 = 0

First, let's rewrite both of these in the slope-intercept form:

y = (2/3)*x - 1/3

y = (2/3)*x + 5/3

Now let's assume that we apply a translation to the first line, that has points of the form (x,  (2/3)*x - 1/3), such that we want to get points of the form:

(x, (2/3)*x + 5/3).

Then we must have:

T(a, b)(x,  (2/3)*x - 1/3) = (x + a,  (2/3)*x - 1/3 + b) = (x, (2/3)*x + 5/3).

Then we need to solve:

(x + a,  (2/3)*x - 1/3 + b) = (x, (2/3)*x + 5/3).

This means that:

x + a = x

(2/3)*x - 1/3 + b = (2/3)*x + 5/3

From the first equation, we can see that a = 0

Now we can solve the second one to find the value of b.

(2/3)*x - 1/3 + b = (2/3)*x + 5/3

subtracting (2/3)*x in both sides, we get:

-1/3 + b = 5/3

b = 5/3 + 1/3

b = 6/3 = 2

b = 2

Then the vector translation is:

T(0, 2)

So it moves the whole line 2 units upwards.

Simply the expression (x^3/2)^6

Answers

Answer:

x**9

Step-by-step explanation:

(x**3/2)**6 = x**18/2 = x**9

Alexandra is trying to factorise fully15y + 30. Rebecca says the answer is 3(5y + 10) Victoria says the answer is 5(3y + 6) Alexandra says both Rebecca and Victoria are incorrect, why?​

Answers

Answer:

Step-by-step explanation:

They are not wrong exactly. Their answers are just incomplete. They did not take the factoring process to it's end.

Victoria could pull out another three.

Rebecca could pull out another five.

The answer is 15(y + 2)

Answer:

because:  3(5y + 10)=15y+30 (Distributive property between addition and multiplication )

the same we have  5(3y + 6)=15y+30

Step-by-step explanation:

A private and a public university are located in the same city. For the private university, 1046 alumni were surveyed and 643 said that they attended at least one class reunion. For the public university, 804 out of 1315 sampled alumni claimed they have attended at least one class reunion. Is the difference in the sample proportions statistically significant

Answers

Answer:

To find if the difference is statistically significant, we'll find the p-value and compare it to the significance level. If it's smaller, then it's significant.

Because the problem didn't state a specific significance level, I'm going to use the most common one p = 0.05.

On a graphing calculator, I conducted a 2-Proportion Z-test. It resulted in zTest_2Prop 643,1046,804,1315,0: stat.results and the p-value is shown as around 0.869485.

Set p₁ ≠ p₂ as we're trying to show that the two proportions are far in value, not whether one is greater/lesser than another.

Since 0.869 > 0.05, the difference in the sample proportions is not statistically significant.

1) With the help of given figure.

a) Write the names of minor and major arcs.

b) If mzAOQ = 70° then find m(arcAYQ) and

m(arcAXQ).​

Answers

[tex]\\ \Large\sf Minor\:Arc\longmapsto AOQ[/tex]

[tex]\\ \Large\sf Major\:arc\longmapsto AXQ[/tex]

Now

[tex]\\ \Large\sf\longmapsto m<AOQ=70°[/tex]

[tex]\\ \Large\sf\longmapsto m<AXQ=2m<AOQ[/tex]

[tex]\\ \Large\sf\longmapsto m<AXQ=2\times 70[/tex]

[tex]\\ \Large\sf\longmapsto m<AXQ=140°[/tex]

PLEASE HELP I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

correct option is A

Step-by-step explanation:

mark me

A. is your correct answer!!!!
Hope this helps!!!!!!

plzzz answer asap!! The SkyWheel has a diameter of 181 feet. What is the radius? (Don't round and just write the numerical answer, no units)

Answers

Answer:

181 ÷ 2

= 90.5 feet

...........

pls pls pls help me answer this quickly

Answers

Answer:

768

Step-by-step explanation:

(8×8×10)+(8×8×6/3)

= 640+128

= 768

Answered by GAUTHMATH

Set up an equation to find the length of the diagonal of the rectangle.

Answers

Answer:

Set length as l

Use the Pythagorean Theorem to find the diagonal:

[tex]5^{2} +l^{2} =(\sqrt{125})^{2}\\ 5^{2} +l^{2} =125[/tex]

find the missing length indicated​

Answers

Answer:

108

Step-by-step explanation:

Use the ratio of corresponding sides of similar triangles:

81 / x = x / 144x² = 81*144x = [tex]\sqrt{81*144}[/tex]x = 9*12x = 108

Answer:

x = 108

Step-by-step explanation:

x is the height

from the Euclidian theorem we know that :

x^2 = 81*144

x^2 = 11664 find the root for both

x = 108

Camilla can do 33 push ups in 3 minutes. How many push ups can she do in 1 hours if she never gets tired?

pls answer soon

Answers

Answer:

660

33 / 3 = 11 per minute

60 minutes in an hour = 11 * 60 = 660

Step-by-step explanation:

Quesdon 8 of 10
Which of the following is a polynomial?

Answers

Answer:

B

Step-by-step explanation:

It has two or more terms.

A dealer marks a T-shirt with a price 20 PERCENT more than the cost price. It he sells it at a discount of I5 PERCENT.. What will be his gain Or loss percent ? (Take cost price as Rs 100)​

Answers

Answer:

Rs 2,or 2%profit

Step-by-step explanation:

the price he marked:

[tex]100 \times \frac{120}{100} = 120[/tex]

(20 percent more than cost price)

The discount he put: 15 percent

[tex]120 \times \frac{85}{100} [/tex]

Rs102

102 is 2 more than 100

and is 2%profit.

Brainliest please

- 100
-V4
L.A.1
ints
3. What is the simplest form of
a. -51
b. 25i
c. -251
d. 5i

Answers

Answer:

- 5i

Step-by-step explanation:

sqrt(-100) / -sqrt(4)

We know that  sqrt(a) / sqrt(b) = sqrt(a/b)

- sqrt(-100/4)

- sqrt(-25)

We know that sqrt(ab) = sqrt(a) sqrt(b)

- sqrt(25) sqrt(-1)

We know sqrt(-1) = i

Taking the principle value of sqrt(25)

- 5i

The table shows values for a quadratie function
What is the average rate of change for this function for the interval from 1
Please see
Pic

Answers

Answer:

B

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 1, 3 ] , then

f(3) = 18 ← value of y when x = 3

f(1) = 2 ← value of y when x = 1

Then

average rate of change = [tex]\frac{18-2}{3-1}[/tex] = [tex]\frac{16}{2}[/tex] = 8 → B

For the following sequence determine the common difference (if it is an arithmetic sequence) or the common ratio (if it is a geometric sequence).

-7x + 8, -12x + 12, -17x + 16, . . .

Possible anwers:
-5x + 4
5x + 4
-5x - 4
5x-4

Answers

Answer:

The first one is the answer.

Step-by-step explanation:

It's an arithmetic sequence. It has a common difference.

d = an - a_n-1

an = -12x + 12

a_n-1 = - 7x + 8

d = -12x + 12 - (-7x + 8)

d = -12x + 12 + 7x - 8

d = -5x + 4

Try  it. Let's try for the third term

-12x + 12 - 5x + 4

- 17x + 15 which is exactly what the third term is.

A straight line PQ cuts the x andy axis at M and N respectively. If the points A(-3,5) and B(4,7) lies on PQ , calculate
1.the coordinate of M and N
2./AB/, correct to one decimal place
3.The eqation PQ​
I need answers urgently.
pls

Answers

Could you show us a picture of the question

Simplify the expressions by combining like terms.
30) 4x + 3-x =

Answers

Step-by-step explanation:

the answer is -1. I have a picture, take a lot at it

Answer: 3x+3

Step-by-step explanation:

4x+3-x

= (4x-x) + 3

= 3x+3

URGENT PLS HELP. pls but why or why not thank you:))

Answers

Answer:

No the relation is not a function

Step-by-step explanation:

A function by definition will have a unique output for every input, so there should be no repeating outputs, however, the clinic cares for 2 legged animals (birds) as well as 4 legged animals (cats and dogs). With this being said, if a clinic has 2 animals(input), the amount of legs(output) could be 8 if two dogs, or it could be 4 if two birds, or even six if a dog and bird.

If this were a function, the clinic would undeniably have different amounts of legs having two animals opposed to one animal, but this isn't true. if the clinic has 2 birds(input), there'd be 4 legs(output). but the clinic would also have 4 legs(output) if it had 1 dog(input). the output is the same for two different inputs

This shows the output is varying depending on the type of animal since the amount of legs changes, rather than the amount of animals.

Hope this helps :)

An item is regularly priced at $95. It is on sale for 85% off the regular price.

Answers

Answer:

14.25

Step-by-step explanation:

95*0.85=80.75

95-80.75=14.25

Answer:

The sale took $14.25 off the original price, so the item is currently $80.75 with the sale.

which choice is equivalent to the expression √20 + √80

Answers

Answer:

13.41

Step-by-step explanation:

Hope it helps!

Answer:

6[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying the radicals

[tex]\sqrt{20}[/tex]

= [tex]\sqrt{4(5)}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] = 2[tex]\sqrt{5}[/tex]

[tex]\sqrt{80}[/tex]

= [tex]\sqrt{16(5)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{5}[/tex] = 4[tex]\sqrt{5}[/tex]

Then

[tex]\sqrt{20}[/tex] + [tex]\sqrt{80}[/tex]

= 2[tex]\sqrt{5}[/tex] + 4[tex]\sqrt{5}[/tex]

= 6[tex]\sqrt{5}[/tex]

Square 1 has an area of 24 square units. If square 2 is half the size, what is the ratio of the area of square 1 to square 2.

Answers

Answer:

12

Step-by-step explanation:

I'm going to guess that 1/2 the size means the sides are 1/2 the size.

Square 1 has an area of 24. The sides are s, so the area is found by using s^2

The second square is made from sides that are 1/2 s

Area = 1/2 s * 1/2 s

Area = 1/4 s^2

Area 1 / area 2 = 24 / x^2 = s^2 / 1/4 s^2 =  1/0.25

cạnh huyền của một tam giác vuông lớn hơn một cạnh góc vuông là 1 cm và tổng của hai cạnh góc vuông lớn hơn cạnh huyền 4 cm hãy tính các cạnh của tam giác vuông này

Answers

Answer:

Cạnh huyền=13, cgv1=12, cgv2=5

Step-by-step explanation:

Tam giác ABC

Gọi a là cạnh huyền(đối diện điểm A)

b là cgv đối diện điểm B

c là cgv đối diện điểm C

Theo đề bài: a=b+1 hoặc a=c+1

TH1: a=b+1 ta có hệ pt:

a=b+1                  (1)

b+c=a+4             (2)

[tex]b^{2} +c^{2} = a^{2}[/tex]         (3)

Thế (1) vào (2) ta được: b+c=b+1+4 => c=5

Thế (1) và c=5 vào (3) ta được:  [tex]b^{2} +5^{2} = (b+1)^{2}[/tex]  

<=>  [tex]b^{2} +25=b^{2} +2b+1[/tex]

<=> 2b=24 => b=12

=> a=b+1=12+1=13

TH2: a=c+1 ta có hpt

a=c+1                  (4)

b+c=a+4             (5)

[tex]b^{2} +c^{2} = a^{2}[/tex]         (6)

Tương tự tính được a=13,b=5,c=12

Vậy cạnh huyền=13, 1 cạnh góc vuông=5 và 1 cạnh góc vuông=12

It is known that the length of time that people wait for a city bus to arrive is right skewed with mean 6 minutes and standard deviation 4 minutes. A sample of 25 wait times is randomly selected. What is the standard deviation of the sampling distribution of the sample wait times

Answers

Answer:

The standard deviation of the sampling distribution of the sample wait times is of 0.8 minutes.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30. Otherwise, the mean and the standard deviations holds, but the distribution will not be approximately normal.

Standard deviation 4 minutes.

This means that [tex]\sigma = 4[/tex]

A sample of 25 wait times is randomly selected.

This means that [tex]n = 25[/tex]

What is the standard deviation of the sampling distribution of the sample wait times?

[tex]s = \frac{4}{\sqrt{25}} = 0.8[/tex]

The standard deviation of the sampling distribution of the sample wait times is of 0.8 minutes.

Solve the system of equations:
y = 2x - 4
y = x2 - 4

Answers

Answer:

y=2x-4

Step-by-step explanation:

y=x2-4

ygjn bcgh ccfjm kbhh

The width of a rectangle measures (2h-6) centimeters, and its length measures (7h+8) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Answers

Answer:

18h +4

Step-by-step explanation:

The perimeter of a rectangle is given by

P = 2(l+w)  where l is the length and w is the width

  =2( 7h+8 + 2h-6)

Combine like terms

  = 2( 9h+2)

Distribute

   = 18h +4

What is the product of the fractions below?

Answers

The answer to this question is c because you add the numerator and you times the denominator!

Answer:

B

Step-by-step explanation:

6/11 * 7/3 = 6*7/11*3 = 42/33

We can simplify this by dividing both by 3.

42/3 = 14

33/3 = 11

So we get 14/11

What is the value of y for the parallelogram shown? A. 38 B. 60 C. 22 D. 66​

Answers

Answer:

c.22

Step-by-step explanation:

C=66

22*3=66

If the triangle on the grid below is translated by using the rule (x,y) =(x-2,y+2), what will be the coord
5
3
2
5 -3 -2 -
2
3
5
(4.0)
0 (0.4)
(0.0)

Answers

Answer: A' (-4,0)

Step-by-step explanation:

use the ratio of a 30-60-90 triangle to solve for the variables.​

Answers

Answer:

X = 32, y = 16

Step-by-step explanation:

Cos 30 = (16√3) ÷ x

x = (16√3) ÷ cos 30

x = 32

Sin 30 = y ÷ 32

y = 32 sin 30

y = 16

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