Mikhail draws triangles ABC and FED, as shown below, and claims that the two triangles are similar but not congruent.

Select all methods that can be used to justify the claim.

show that 2C 2D and that all corresponding sides are congruent

show that 2C 2D and that all corresponding sides are proportional

show that a sequence of rotations, reflections, and translations carries triangle ABC onto triangle FED

show that a sequence of rotations, reflections, translations, and dilations carries triangle ABC onto triangle FED

Answers

Answer 1

Answer:

First definitions:

Two triangles are congruent if the corresponding sides are all the same length (one triangle can be a rotation, translation or reflection of the other)

Two triangles are similar if the corresponding interior angles are equal and the corresponding sides are proportional. (so one triangle can be a rotation, translation, reflection or contraction/dilation of the other)

You can notice that two congruent triangles are similar, but two similar triangles are not necessarily congruent.

Then two methods to show that the triangles are similar but not congruent are:

1) show that a sequence of rotations, reflections, translations, and dilations carries triangle ABC onto triangle FED

If we have a dilation, then the sidelengths of the corresponding sides can not be equal, wich implies that the triangles are not congruent.

2) show that 2C 2D and that all corresponding sides are proportional

If the sides are proportional, then it is similar, but not congruent.


Related Questions

Find the equation of a line parallel to −2x+2y=6 that contains the point (3,−5). Write the equation in slope-intercept form.

Answers

-2x+2y=6
2y=2x+6
y=x+3

y=3+3
y=6

y=x+3
-5=x+3
x=-8

help me please i’ll give u a cookie

Answers

Answer:

the answer is B

Step-by-step explanation:

i just did this.

What is 5 8/100
as a decimal?
O
A. 5.008
0
B. 5.08
O
C. 5.8
0 D. 58

Answers

Answer:

5.08

Step-by-step explanation:

5   8/100

Since there are 2 zero's in 100, we need two numbers in the top

Replace 8 with 08 which is the same number

5  08/100

Now write as a decimal

5.08

Answer:

B. 5.08

Step-by-step explanation:

[tex]5\frac{8}{100} = \frac{508}{100}[/tex]  508 ÷ 100 = 5.08

I hope this helps!

I think of two numbers.
When I add the numbers, the answer is 8.
When I subtract the numbers, the answer
Is less than 6.
What can the numbers be?
The two numbers can be _ and _ .

Answers

Answer:

There are a variety of possible answers, including the following:

4 and 4     (4 + 4 = 8........4 - 4 = 0.......... 6 > 0)

6 and 2     (6 + 2 = 8........6 - 2 = 4.......... 6 > 4)

5 and 3     (5 + 3 = 8.........5 - 3 = 2.......... 6 > 2)

And for the subtraction, each can be reversed (2 - 6 ...... 3 -5 ...... etc.)

Answer:

2 and 3 is the answer we know it right

5x + y =7
20x + 2 = y

Answers

Answer:

y = 6

x = 0.2

Step-by-step explanation:

5x + y =7

20x + 2 = y

5x(4) + y(4) = 7(4)

20x + 4y = 28

(20x = 28 - 4y) = (20x = y - 2)

28 - 4y = y - 2

30 - 4y = y

30 = 5y

y = 6

5x + y =7

20x + 2 = y

y = 7 - 5x

7 - 5x = 20x + 2

5 - 5x = 20x

5 = 25x

x = 0.2

Please help guys this has to be do in 10:00 please help

Answers

she drank 14 ounces of her water, she has 28 ounces left, just divide 42 by 3

Answer:

1)14oz

2)28oz

Step-by-step explanation:

1) To find the amount of water is left in the bottle you want to substract 1/3 so the first thing you want to do is find what 1/3 of 42 is. So do this: (This is also 42/3)

42*1/3=14

So we now know that 14 is 1/3 of 45 which is the first answer. To find the second answer you want to substract 14 from 42 which is 28.

So that means she has 28 oz of water left when she gets there.

f(x) = 23 – 22
g(x) = 4x + 5

Answers

Answer:

23-22=1

5 times 4=20

Step-by-step explanation:

What is the ratio of daises to all the flowers in the vase?

Answers

Answer: Do you have the original ration so we can simplify it then??

Step-by-step explanation:

Arnold has $500 as his pocket money, he buys a bike for $200, and he payed 10% tax and payed 20$ extra. How much money did he have balance?

Answers

Answer:

$250

Step-by-step explanation:

Total money he has - $500

He buy a bike for - $200

500 - 200 = 300

Balance - $300

10% tax

10 x 300/100 = 30

300 - 30 = 270

He payed $`20 extra

170 - 20 = 250

Balance = $250

He had $250 balance in his pocket money

Hope you understand

:-)

Morgan reads 45 pages in 60 minutes how much can she read in 1 minute

Answers

Answer:

Morgan can read [tex]\frac{3}{4}[/tex] of a page in 1 minute.

Step-by-step explanation:

If you divide 45 ÷ 60 you get 0.75 which is equal to [tex]\frac{3}{4}[/tex].

Morgan can read 0.75 pages in 1 minute.

What is division?

Math operations include division as one of its types. This technique involves splitting the phrases or numbers into the same amount of components.

To find out how many pages Morgan can read in 1 minute, we divide the total number of pages she read by the time it took her to read them. This gives us the average number of pages she read per minute.

In this case, Morgan read 45 pages in 60 minutes. So, we divide 45 pages by 60 minutes:

45 pages ÷ 60 minutes = 0.75 pages per minute

This means that on average, Morgan can read 0.75 pages in 1 minute.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ2

Pure acid is to be added to a 10% acid solution to obtain 99L of a 20% acid solution. which amounts of each should be used ?

Answers

Answer:

x = amount of 100% acid solution (pure acid, no water)

y = amount of 10% acid solution (acid + water)

both amounts are in liters

Step-by-step explanation:

What is the y-intercept of the line with equation 3y - 4x = 9?

Answers

Answer: (0, 3)

Step-by-step explanation: To find the y-intercept, we can plug a 0 in for x.

So we have 3y - 4(0) = 9.

This simplifies to 3y = 9.

Dividing both sides by 3, we find that y = 3.

So our y-intercept is 3 which we can write as the ordered pair (0, 3).

write an equation that represent the table​

Answers

Answer:

y equals 5x + 20

James is studying different kinds of weather. Rain has water drops that are larger than 0.02 inch in diameter. Small hailstones are less than 14 inch in diameter. Complete the statement that best represents the different kinds of weather James studied. Select one correct answer from each box to complete the sentence.

Answers

Answer:

wheres the stament

Step-by-step explanation:

Answer:

huh

Step-by-step explanation:

Aging workers of the Neotropical termite, Neocapritermes taracua, develop blue crystal containing glands ("backpacks") on their backs, When they fight intruding termites and are hampered, these "blue" termites explode, and the glands spew a sticky liquid (Sobotnik et al. 2012). The following data are from an experiment that measured the toxicity of the blue substance. A single drop of the liquid extracted from blue termites was placed on individuals of a second termite species, Labiotermes labralis, and the number that were immobilized (dead or paralyzed) within 60 minutes was recorded. The frequency of this outcome was compared with a control treatment in which liquid from glands of "white" termites lacking the blue crystals was dropped instead.
Is the blue liquid toxic compared to liquid from white termites?
Liquid source Unharmed Immobilized
Blue workers 3 37
White workers 31 9

Answers

Answer:

Yes blue liquid is toxic

Step-by-step explanation:

H0: p1 = p2

H1: p1>p2

For blue

We calculate proportion as

37/40 = 0.925

For white

9/40 = 0.2250

To get p

(X1 + x2)/(n1 + n2)

= 0.5750

After calculating the z as statistic (please check attachment) I got 6.33

P value = 0.0000

We reject null hypothesis and say in conclusion that enough evidence exists for us to say blu liquid is toxic!

Thank you!

(IF YOU'RE IN COLLEGE, ANSWER THIS) Should I delete social media?
I have twitter and I feel like it's impacting my life. I'm in college and whenever I study or work on an assignment, I find myself distracted by clicking on the website, and scroll through the timeline for hours. And then boom, it's 8pm. It's the reason why I'm so behind on my studies. I think I should delete it because I care about my future and I wanna become successful (I wanna be a doctor). but at the same time I have like 334 followers lol and it's nice but I should delete it for good I think. People are too toxic and it does no good for my brain.

Answers

Answer:

I think you should delete it because as you said it is distracting you. I think you should just focus on your studies if that is the most important thing to you

imo you should delete social media or at least take a break. it’s really good for both your mental health and for your grades as you’ll be less likely to get distracted or waste time on twitter, instagram, snap... etc. once you’re done with school or caught up with your you can always redownload or log back into your accounts. the people in social media are very toxic and cause pointless drama. since you’re trying to become a doctor i personally believe you should at least limit how often you’re on your phone/on social media or apps that constantly get you distracted. if you think it’ll be hard to put your phone away and focus on your work, use screen time and try to keep you daily usage under 3, 4, 5, 6 whatever hours or so. you can always put a time limit on social media as well

Cliff needs 6 meters of wood for a building project. He already has 3
meters of wood.
Approximately how many feet of wood does Cliff need? (One meter
is approximately 3.3 feet.)
1 foot
3 feet
6 feet
10 feet

Answers

letter B 3 feet

Step-by-step explanation:

he needs three more to get 6 meters of wood

10, because he needs 3 more meters and 3 meters = 9.9 feet

The left and nght page numbers of an open book are two consecutive integers whose sum is 447. Find these page numbers​

Answers

Answer:

223 and 224

Step-by-step explanation:

Divide 447 by 2. It gives a decimal of 223.5, but obviously you don't have half pages. So the page number would be 223 and 224.

Answer:

223,224

Step-by-step explanation:

page 1-x

page 2-x+1

2x+1=447

2x=446

x=223

page 1=223

page 2=224

Brainliest is Very Appreciated!

Which is true when you rent?
ОА.
You build equity in your house.
ОВ.
You are responsible for any repairs.
Ос.
You pay fewer up-front costs.

Answers

You are responsible for any repairs.

find x (x+y) 30 24 2x​

Answers

Answer:

vfvgyfygj

Step-by-step explanation:

gvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvdyu so yeah

find the possible factor for the estimated product 5,600​

Answers

Answer:

Question example:

Suppose that the weight of navel oranges is normally distributed with a mean µµ = 8 ounces, and a standard deviation σσ = 1.5 ounces. a. What percent of oranges weigh more than 11.5 ounces? b. What percent of oranges weigh less than 8.7 ounces? c. If you randomly select a navel orange, what is the probability that it weighs between

Answers

Answer:

Hello some parts of your question is missing below is the missing part

c. If you randomly select a navel orange, what is the probability that it weighs between6.2 and 7 ounces

Answer: A) 0.0099

              B) 0.6796

              C) 0.13956

Step-by-step explanation:

weight of Navel oranges evenly distributed

mean ( u ) = 8 ounces

std ( б )= 1.5

navel oranges = X

A ) percentage of oranges weighing more than 11.5 ounces

P( x > 11.5 ) = [tex]P ( \frac{x - u}{ std} > \frac{11.5-8}{1.5} )[/tex]

                   = P ( Z > 2.33 ) = 0.0099

                   = 0.9%

B) percentage of oranges weighing less than 8.7 ounces

  P( x < 8.7 ) = [tex]P ( \frac{x - u}{ std} > \frac{8.7-8}{1.5} )[/tex]

                    = P ( Z < 0.4667 ) = 0.6796

                    = 67.96%

C ) probability of orange selected weighing between 6.2 and 7 ounces?

P ( 6.2 < X < 7 ) = [tex]P (\frac{6.2-8}{1.5} < \frac{x - u}{ std} < \frac{7-8}{1.5} )[/tex]

                          = P ( -1.2 < Z < -0.66 )

                          = Ф ( -0.66 ) - Ф(-1.2) = 0.13956

Your grandfather gave you $18 to buy a present. This covered 9/10 of the cost. How much did the present cost?

Answers

it cost $20 because if you divide 18 by 9 you get 2 which means that if you multiply 2 by 10 the total would be 20

In a casino in Blackpool there are two slot machines (machine 1 and machine 2): one that pays out 10 % of the time, and one that pays out 20 % of the time. Obviously, you would like to play on the machine that pays out 20% of the time but you do not know which of the two machines is the more generous. You thus adopt the following strategy: you assume initially that the two machines are equally likely to be the generous machine. You then select one of the two machines at random (this turns out to be machine 1) and put a coin into it. Given that you loose that first bet estimate the probability that machine 1 is the more generous of the two machines
What do I know?
What do I want to find out?
What do I expect the answer to be?
How do I go from what I know to what I want to find?
Is the answer consistent with what I expected?

Answers

Answer:

Step-by-step explanation:

From the given information:

We are  told that there exist two machines

Machine 1 and Machine 2

Given that machine 1 pays 10% when it is generous, then the probability  can be computed as:

P(pays | machine 1 is generous) = 0.10

Also, machine 2 pays 20% when it is generous, then the probability that the machine pays 20% when it is generous is :

P(pays | machine 2 is generous) = 0.20

However, the two machines have an equal chance of being generous.

Therefore, the probability that machine 1 is generous is equal to the probability that machine 2 is also generous.

i.e.

P( machine 1 is generous) = P( machine 2 is generous) = 0.50

The first objective is to find the probability that the machine 1 is generous, given that the player loses the first bet.

i.e. P (machine 1 is generous | but lost)

Thus, we know that the probability that the machine is generous is = 0.5, therefore, the probability that the machine is generous is 50% when he loses the first bet.

Therefore, to find the probability that the machine 1 is generous | but lost, we have:

[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{P(machine \ 1 \ is \ generous \ \cap lost )}{P(lost)} }[/tex]

Let:

P(lost | machine 1 is generous) = A

P(machine 1 is generous) = B

P (Pays | machine 1 is generous ) = C

P(Pays | machine 2 is generous )  = D

P(machine 2 is generous) = E

[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{(1 - C) \times B}{ (1 - C) \times B + (1 - D) \times E} }[/tex]

[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{(1 - 0.10) \times 0.50}{ (1 - 0.10) \times 0.50 + (1 - 0.20) \times 0.50} }[/tex]

[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{0.45}{0.85}}[/tex]

[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) =0.5294}[/tex]

Thus, the probability that machine 1 loses the first bet but it is generous = 0.5294

Thus, since the answer is close to 0.50, we say that the answer is consistent with what is expected.

The measures of two supplementary angles are in the ratio 1:3. What is the measure, in degrees, of the larger angle?

Answers

Sum of two angles that are supplementary = 180°

Ratios in which they have been given their measurement = 1 : 3

Total number of parts = 1 + 3 = 4

Each part = 180÷4 =

[tex]Each \: part = \: \frac{180}{4} [/tex]

Each part = 45°

Measure of smaller angle = 45 × 1 = 45°

[tex]Measure \: of \ \: the \: smaller \: angle \: = \: 45 \: × \: 1 \: = \: 45°[/tex]

[tex]Measure \: of \: \: the \: larger \: angle \: = \: 3 \: × \: 45 \: = \: 145° \: [/tex]

∴ The measure of the larger angle in degrees = 145° .

What is the value to the expression -2.1(4.7+(-7.4))

Answers

The correct answer is 5.67
Someone said 5.67 so

find the distance between points P ( 7,8 ) and Q ( 6,2 )

Answers

Answer:

6/1

Step-by-step explanation:

40,984 rounded to the nearest ten thousand

Answers

Hi friend! Hope this helps!

40,000.

What is the equation in slope-intercept form of the line that passes through the points (−12, −4) and (4, 8)?


A. y = −43 − 20
A. , y = −43 − 20

B. y = 43 − 12
B. , y = 43 − 12

C. y = −0.75 − 13
C. , y = −0.75 − 13

D. y = 0.75x +5
D. , y = 0.75x +5

Answers

Answer:

Choice D. [tex]y = 0.75\, x + 5[/tex].

Step-by-step explanation:

The general equation for the slope-intercept form of a line in a cartesian plane is [tex]y = m\, x + b[/tex], where:

[tex]m[/tex] is the slope of the line, and[tex]b[/tex] is the [tex]y[/tex]-intercept of the line. (The [tex]y\![/tex]-intercept of a line in a cartesian plane is the [tex]y\!\![/tex]-coordinate of the point where the line intersects the [tex]\! y \![/tex]-axis.)

Start by finding the value of [tex]m[/tex]. The slope of a line is equal to its rise-over-run. For the two points in this question:

The "rise" is the [tex]y[/tex]-coordinate of the first point minus that of the second: [tex]\text{rise} = (-4) - 8 = -12[/tex].The "run" is the [tex]x[/tex]-coordinate of the first point minus that of the second. The order of these two points should stay the same: [tex]\text{run} = (-12) - 4 = -16[/tex].

Calculate the slope of this line:

[tex]\displaystyle m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{-12}{-16} = 0.75[/tex].

The equation of the line becomes:

[tex]y = \underbrace{0.75}_{m}\, x + b[/tex].

Substitute the coordinates of either of the two points to find [tex]b[/tex]. For example, for the first point [tex](12, -4)[/tex], substitute in the following:

[tex]x = -12[/tex], and[tex]y = -4[/tex].

The equation becomes:

[tex]-4 = 0.75 \times (-12) + b[/tex].

Solve for the value of [tex]b[/tex]:

[tex]b = 5[/tex].

Hence, the slope-intercept form of this line shall be:

[tex]y = 0.75\, x + 5[/tex].

if x=3 and y=2 then find the value of 2x²-xy+y²-4x​

Answers

Answer:

4

Step-by-step explanation:

Put x = 3 and y = 2 to the expression 2x²- xy+y²- 4x​:

2(3)² - (3)(2) + 2² - 4(3)    use PEMDAS

=2(9) - 6 + 4 - 12

= 18 - 6 + 4 - 12

= (18 + 4) - (6 + 12)

= 22 - 18

= 4

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