5 Points
Rebecca is given two triangles, AABC and A DEF. At first glance, she thinks
that the triangles are congruent. How can she use what she knows about
rotations and triangle congruence to prove the triangle congruence?

5 PointsRebecca Is Given Two Triangles, AABC And A DEF. At First Glance, She Thinksthat The Triangles

Answers

Answer 1

Answer:

  A

Step-by-step explanation:

Rotating ABC 90° will make segment AB parallel to segment DE, facilitating comparison of sides and angles. The triangles are marked with two angles and the side between them, so the appropriate theorem to use is the ASA theorem. (That theorem refers to a side (S) between two angles (A..A).)

5 PointsRebecca Is Given Two Triangles, AABC And A DEF. At First Glance, She Thinksthat The Triangles
Answer 2

She can use what she knows about rotations and triangle congruence to prove that triangle congruence as per option A.

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

As per the given figure, we have triangles in which two angles and one side are equal.

∠A = ∠E = 65° (angle)

BA = ED (side)

∠A = ∠E = 30° (angle)

By rotating ABC 90°, section AB becomes parallel to segment DE, allowing for easier comparison of sides and angles. Because the triangles are defined by two angles and the side between them, the ASA theorem is relevant. (This theorem is about a side (S) between two angles (AA).)

Thus, the correct answer is option A.

Learn more about congruent triangles here:

brainly.com/question/4364353

#SPJ7


Related Questions

From sea level, a submarine descends 40 feet per minute. Where is the submarine in relation to sea level 5 minutes after it starts descending?

Answers

Answer:

After 5 minutes, the submarine is at -40 × 5 = -200 feet

Step-by-step explanation:

In 1 minute, the submarine is 40 feet below sea level. This situation can be represented with -40 feet. Notice that we use a negative sign since the submarine is descending.

Answer:

It's at 200 ft

Step-by-step explanation:

You multiply 40 and 5 because the submarine goes 40 ft per minute and you have to find out the level after 5 minutes.

Therefore 40•5=200 ft

Hope this helps!

3x-2y=-4 can someone find the slope and y intercept for this? thank you.

Answers

Answer:

[tex]Slope:\frac{3}{2}\\y-intercept:2[/tex]

Step-by-step explanation:

LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS



4. All angles are formed by the intersection of two _______ at a point called the angle's vertex.

A) rays

B) lines

C) segments


THE HINT I WAS GIVEN: These objects have start with an endpoint and end with a line.

Answers

Answer: rays or lines

Step-by-step explanation:

Answer:

I believe the answer is: B.) lines

Hope this helps God bless!

Isosceles and Equilateral triangles question! 60 POINTS!!
How do I figure out what "a" is equal to? Thanks!

Answers

Answer:

a = 43

Step-by-step explanation:

If PQ = PR, then P = R

The sum of the angles of a triangle is 180

P+Q+R = 180

47+2a + 47 = 180

Combine like terms

94 + 2a = 180

Subtract 94 from each side

2a = 180-94

2a = 86

Divide by 2

2a/2 = 86/2

a = 43

Answer:

43

Step-by-step explanation:

PQ = PR, so P = R

P + Q + R = 180

47+2a + 47 = 180

2a = 180 - 47 - 47

2a = 86

= 43

Hope this helps!

Solve the inequality 5(2x + 1) < 10.
A. x < 1/2
B. x > 1/2
C. x < 3/2
D. x > 3/2

Answers

Answer:

A is the answer

Step-by-step explanation:

5(2x+1)<10

10x+5<10

     -5  -5

____________

     10x<5

   ——   —-

    10      10

———————-

    x < 1/2

Answer:

a.x<1/2

Step-by-step explanation:

5(2x+1)<10

2x+1< 5/10

2x+1<2

2x<2−1

2x<1

x< 1/2

mark brianliest if my answer suit your question

How many revolutions must be made by a wheel of diameter 2.8m in order to cover a distance of 484km?

Answers

Answer :

A wheel is a circle.

Given diameter of wheel = 2.8 m

Then radius of the wheel = 2.8/2 = 1.4 m

Now we know that , circumference of circle =[tex]2\pi r[/tex]

Then,

Circumference of wheel = 2 × 22/7 × 1.4

Circumference of wheel = 8.8 m

From the above we can conclude that ;

1 revolution = 8.8 m

x revolution = 484 km = 484000 m

Thus,

[tex]x = \frac{1}{8.8} \times 484000 \\ \\ x = 55000[/tex]

Therefore, total of 55,000 revolutions are made by the wheel.

The distance between the Sun and the Earth is 1 .496 x 1O^8km and distance between the Earth and lhe Moon is 3.84 x 10^8m. During solar eclipse. The Moon comes in between the Earth and the Sun. What is the distance between the Moon and the Sun at that particular time?

Answers

Answer:

1.49216*10^8 km

Step-by-step explanation:

The first thing is to pass all the distances to the same unit system, since the distance from the earth to the sun is in kilometers and from the earth to the moon is in meters, therefore we will pass the distance of the moon in kilometers:

3.84 x 10 ^ 8m * 1 km / 1000 m = 3.84 x 10 ^ 5 km

To calculate the distance between the moon and the sun, it would be the difference between the distance they give us in the statement, because they have a point in common which is the earth, it would be:

1.496 x 10 ^ 8 km - 3.84 x 10 ^ 5 km = 149216000 = 1.49216 * 10 ^ 8 km

Therefore the distance between the moon and the sun is 1,49216 * 10 ^ 8 km

Ling likes to listen to different types of music. One afternoon, she listened to 4 rap and 12 country songs. How can you describe the relationship between rap and country songs? Check all that apply.
1. For every 12 rap songs Ling listened to, she listened to 4 country songs.
2. For every rap song Ling listened to, she listened to 3 country songs.
3. Ling listened to 3 times as many country songs as rap songs.
4. Ling listened to a ratio of 4 rap songs to 12 country songs.

Answers

Answer:

For every rap song Ling listened to, she listened to 3 country songs.

Ling listened to 3 times as many country songs as rap songs.

Ling listened to a ratio of 4 rap songs to 12 country songs.

Step-by-step explanation:

Answer:

2,3,4

Step-by-step explanation:


[tex]x^{2}-5x-24=0[/tex]
Quadratic Formula
Please show every step

Answers

Answer:

[tex]x=8,\:x=-3[/tex]

Step-by-step explanation:

[tex]x^2-5x-24=0\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\mathrm{For\:}\quad a=1,\:b=-5,\:c=-24:\quad x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:1\left(-24\right)}}{2\cdot \:1}\\\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}\\x=8,\:x=-3[/tex][tex]=\frac{5+\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}}{2\cdot \:1}\\5+\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}\\5+\sqrt{121}\\=\frac{5+\sqrt{121}}{2}\\=\frac{5+11}{2}\\=\frac{16}{2}\\=8\\\frac{-\left(-5\right)-\sqrt{\left(-5\right)^2-4\cdot \:1\cdot \left(-24\right)}}{2\cdot \:1}\\=\frac{5-\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}}{2\cdot \:1}\\5-\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}\\\left(-5\right)^2\\=25\\4\cdot \:1\cdot \:24\\=96\\=5+\sqrt{25+96}\\[/tex]

[tex]\frac{5-\sqrt{121}}{2\cdot \:1}\\\frac{5-11}{2}\\=-\frac{6}{2}\\=-3\\[/tex]

There were 49 questions in the exam and Peter answered 45 questions correctly. Find the percent of error.


A. 8.16%
B. 8.2%
C. 8.5%
D. 8.8%

Answers

Answer:

A

Step-by-step explanation:

49-45 = 4 wrong

4/49 = 0.08163

        = 8.16%

Answer:

A) 8.16

Step-by-step explanation:

1) Subtract 49-45

2) Divide 4/49 and multiply by 100

3) Then multiply by 100

Hope this helped

Today you will need to look at the following problem and explain what Susan did incorrectly. You can explain what she did incorrectly and how to do it correctly

Answers

Answer:

see below

Step-by-step explanation:

The equation of a circle can be written as

( x-h) ^2 + (y-k) ^2 = r^2

( x-3)^2 + (y+4) ^2 = 36

Rewriting this equation

( x - 3)^2 + ( y - -4)^2 = 6^2

The center is at (3,-4) and the radius is at 6

Susan did not use the formula correctly.

It is x-h and y-k so she needed to rewrite to get the equation in the proper form

Also the radius is r^2 not r/2

Find the difference.

(5x2 + 2x + 11) - (7 + 4x - 2x2)
A.
3x2 + 6x + 4
B.
9 - 2x - 2x2
C.
3x2 - 2x + 4
D.
7x2 - 2x + 4

Answers

Answer:

D

Step-by-step explanation:

Answer:

D.)   9 − 2x − 2x2

Solve for x in the diagram below.
120°
3x
0
2=

Answers

Answer:

x=40

Step-by-step explanation:

The 2 angles are opposite each other. Therefore, they are vertical angles. This means the 2 angles are equal. So, we can set them equal to each other.

120=3x

We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.

120/3=3x/3

120/3=x

40=x

x is equal to 40.

Answer:

40

Step-by-step explanation:

i had this a while ago

What is the slope of the ramp shown in the diagram below?

Answers

Answer:

Step-by-step explanation:

slope = [tex]\frac{vertical}{horizontal}[/tex] = - [tex]\frac{3}{10}[/tex] → A

The slope is negative as the ramp slopes down from left to right

The slope of the ramp shown in the diagram given is 3/10.So option D is the correct answer.

What is Slope?

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.

Given is a diagram of a ramp.

It can be picturized as a right angled triangle.

We know that,

Slope = Change in y coordinates / change in x coordinates.

Horizontal distance = change in x coordinates = 10

Vertical distance = change in y coordinates = 3

Substituting,

Slope = 3/10

Hence the slope of the ramp is 3/10.

Learn more about Slope here :

https://brainly.com/question/3605446

#SPJ7

There are two red jars of marbles and one blue jar of marbles. Jars of a certain color have the same number of marbles in them. There are 30 marbles in total. The difference between the number of marbles in a red jar and the number of marbles in a blue jar is 12. Find the number of marbles in each type of jar.

Answers

Answer:

There are 14 marbles in each red jar and 2 marbles in the blue jar

Step-by-step explanation:

There are two red jars of marbles and one blue jar of marbles.

Let the number of marbles in the red jar be x.

Let the number of marbles in the blue jar be y.

There are 30 marbles in total. This means that:

2x + y = 30 _____________ (1)

The difference between the number of marbles in a red jar and the number of marbles in a blue jar is 12. This means that:

x - y = 12 ______________(2)

We have a system of simultaneous equations:

2x + y = 30 _____________ (1)

x - y = 12 ______________(2)

Add them together:

3x = 42

=> x = 42/3= 14

Put the value of x in (2)

14 - y = 12

=> y = 14 - 12 = 2

Therefore, there are 14 marbles in each red jar and 2 marbles in the blue jar.

Three consecutive integers have a sum of 45. Find the integers.

Answers

Answer:

14,15,16

Step-by-step explanation:

14+15=29

add up 29 + 16 = 45

URGENT!!!!! LAST TWO QUESTIONS!!!!!!! WILL GIVE BRANLIEST!!!AT LEAST TAKE A LOOK!!!!!! PLS HELP!!!
14. Find the missing angle x. ( 155 degrees is on the top left side, FIRST pic below)

19. Triangles ABC and DEF are similar. Find x. SECOND PIC
A) 9.45
B) 6.12
C) 7.23
D) 8.57

Answers

Answer:

#14) x is 95 (155-180= 25, 180-25-60= 95)

#19) my best guess is 4 (DE=7 -> AB=11, a 4 unit increase)

Which of the following is an angle shown in the drawing?

Will mark as brainliest if correct. Please answer ASAP please.

Answers

Answer: All of them besides <AEB

Step-by-step explanation:

Everyone of those can be measured but the <AEB therefore all the answers besides <AEB is correct

Which regression equation best fits these data?

Answers

[tex]the \: right \: answer \: is \: of \: option \: a \\ y = - 0.32 {x}^{2} - 1.26x + 15.81 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Which expression is equivalent to

Answers

Answer: 4 and 10/12

Step-by-step explanation:

2 x 2= 4

[tex]1/2 X 3/4=2/2+ 3/4= {5/6} x 2= 10/12[/tex]

pleas help please helpppp

Answers

Answer:

the third option

Step-by-step explanation:

the inverse of a statement is just the opposite. So the opposite of your statement would be "if a quadrilateral is NOT a rectangle, then it is NOT a parallelogram."

hope this helps!

What is the product of 7/9 and 1/4

Answers

Answer:

7/36

Step-by-step explanation:

7/9* 1/4

Multiply the numerator

7*1 = 7

9*4 = 36

Put the numerator over the denominator

7/36

Answer:

Brunliest plz

Step-by-step explanation:

7/9 x 1/4 = 7/36

A drawing has a scale of 1:40.
On the drawing, a bedroom is a rectangle measuring 10cm by 18cm.
A kitchen has an actual area of 300,000cm^2.
Which has the bigger area? Show working out.

Answers

Answer:

area of the kitchen

Step-by-step explanation:

in real life the dimensions are 10*40=400 cm=4 m and 18*40=720 cm=7.2 m

Area of the bedroom is A=4*7.2=28.8  m^2

Area of the kitchen  is  300.000 cm^2=30 m^2

30>28.8

The bigger area is  area of the kitchen

The bigger area between bedroom and kitchen is kitchen which is 30 m^2

What is area?

Area can be find of l length and b breadth sides is

Area = l b

How to find area?

Here the scale of bedroom is given that is 1 : 40

If bedroom is rectangle and measuring 10 cm and 18 cm then dimensions are

l = 10x40 = 400 cm = 4 m

b = 18x40 = 720 cm = 7.2 m

Therefore the area will be

Area of bedroom = 4x7.2 = 28.8 m^2

And we have given

Area of the kitchen = 300,000 cm^2

Convert into m^2 we have

Area of the kitchen = 30 m^2

This shows the area of the kitchen is bigger than the area of the bedroom

This is the conclusion to the answer.

Learn more about area here-

https://brainly.com/question/24487155

#SPJ2

what kind of growth model (pattern) is showen in the table x 1, 2, 3, 4, 5 y 5, 25, 125 ,635 ,3,125

Answers

Answer:

x= AP, y= GP

Step-by-step explanation:

x = 1, 2, 3, 4, 5 - difference in terms = 1, this is AP

y = 5, 25, 125, 625, 3125 - the ratio of increase= 5, this is GP

Answer:

x= AP, y= GP

Step-by-step explanation:

Solve for X

5x-5=9x+3

Answers

5 x -5 = 9 x + 3


Move variable to the left-hand side and change its sign

5 x - 9 x - 5 = 3


Move constant to the right-hand side and change its sign

5 x - 9 x = 3 + 5


Collect like terms

- 4 x = 3 + 5


Add the numbers

- 4 x = 8


Divide both sides of the equation by 4

X = -2


And you answer is x = - 2

Answer:

x=-2

Step-by-step explanation:

To solve the equation, we want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

5x-5=9x+3

9x is being added to 3. The opposite of addition is subtraction, so subtract 9x from both sides.

5x-9x-5=9x-9x+3

5x-9x-5=3

-4x-5=3

5 is being subtracted from -4x. The opposite of subtraction is addition, so add 5 to both sides.

-4x-5+5=3+5

-4x= 3+5

-4x=8

x is being multiplied by 4. The opposite of multiplication is division, so divide both sides by -4.

-4x/-4=8/-4

x=8/-4

x= -2

find the total surface area of this cylinder. Give yor answer to 1 decimal place. Award is brainliest answer

Answers

Answer:

2261.95

Step-by-step explanation:

A=2πrh+2πr2

Answer:

2261.9

Step-by-step explanation:

the other users answer was correct, but not with 1 decimal place

I need help with this question.

Answers

12^2 + 9^2 = x^2

144 + 81 = x^2

225 = x^2

√225 = √x^2

x = 15

A group of 10 friends are in line to see a movie. The table shows how much different groups will pay in all. ​Predict how much the group of 10 will pay.​

Answers

Answer: Wheres the table

Step-by-step explanation:

Answer:

Step-by-step explanation:

40

What is the square root of 1000

Answers

Answer:

31.6227766

Step-by-step explanation:

hope this  help \ do you want to be friends?

give me brainlest please bet

ahhhhhhhhhhhhhhhhhhhhhhhhhhhhh!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i bet you are cute

PLEASE HELP MEEEEE ITS VERY UGRENT

Answers

Answer:

4.75

Step-by-step explanation:

u = 10  a = -2  t = 0.5 (half)

need to work out u times t add 0.5 times a times t ^2

so 10 x 0.5 + 0.5 x -2 x 0.25

= 4.75

Answer:

s=4.5 m

Step-by-step explanation:

in the equation s=ut+1/2at squared, u=10, a=-2, and t==1/2. So substitute the given values by the units u, a and t.

[tex]s=ut+\frac{1}{2} at^{2} \\s=10*\frac{1}{2}+-2*\frac{1}{2}^{2}\\ s=5+(-2)*\frac{1}{4}\\ s=5+\frac{-2}{4}\\ s=\frac{5*4-2}{4}\\ s=\frac{20-2}{4}\\ s=\frac{18}{4}\\ s=4.5 m[/tex]

Other Questions
What is the approximate length of minor arc LM? Round tothe nearest tenth of a centimeter.12.4 centimeters15.7 centimeters31.4 centimeters36.7 centimeters A/an ____ file saves a workbook as a comma-delimited text file for use on another windows operating system??A. XPSB. TXTC. ODSD. CVS Read the excerpt from The Hot Zone by Richard Preston, then use the drop-down menus to answer the questions. What is the topic of the passage? What is the central idea of the passage? Which detail supports the central idea? Which of the following acts changed the culture of education in the us what will happen to people who suffer depression for over 2 years 14 weeks is expressed as a percentage of 50 weeks is? Please help me with my question!! When you come across your host eating, what is it considered polite to do Why do we only have fossils of a fraction of the things that have existed onEarth?O A. Many environments destroy fossils over time.OB. Only mammals can become fossilized.O C. Fossils can only form during a warm period.O D. Many organisms live in the ocean. What fingers are best to use to perform blood glucose testing? For each example presented below, identify whether positive reinforcement (PR), negative reinforcement (NR), or punishment (PUN) is illustrated. Use the answer sheet on the next page to record your answer.Police pulling drivers over and giving prizes for buckling up.Suspending a basketball player for committing a flagrant foul.A child snaps her fingers until her teacher calls on her.A hospital patient is allowed extra visiting time after eating a complete meal.Receiving a city utility discount for participating in a recycling program.Grounding a teenager until his or her homework is finished.Scolding a child for playing in the street.A prisoner loses TV privileges for one week for a rule violation.A parent nagging a child to clean up her room.A defendant is harassed and tortured until he confesses.A young child receives $5 for earning good grades in school.A child is put into "time out" for misbehaving.Employee of the month gets a reserved parking space.At a party, a husband becomes sullen when his wife flirts with a colleague.A woman watching a football game offers her child candy to play quietly. 42,000 as a multipul of a power of 10 Abraham currently has a balance of $3,075.21 in an account he has held for 13 years. Heopened the account with an initial deposit of $2,152. What is the simple interest rate on theaccount?2.3%7.7%3.3%11.0% What are some potential sources of error in theexperiment that is described in the article? $49 per month for unlimited calling plus 5 cents for each text message. Is this proportional or non proportional? In football seasons, a team gets 3 points for a win, 1 point for a draw and 0 points for a loss. In a particular season, a team played 34 games and lost 6 games. If the team had a total of 70 points at the end of the season, what is the difference between games won and lost Why would cooking equipment be responsible for more total fires but smoking smoking responsible for more fire deaths? the Anasazi culture included simplify 2x+x+x+2y times 3y times y after the Civil War the south had to reinvent its economy because