The figure shows triangle DEF and line segment BC, which is parallel to EF:

Triangle DEF has a point B on side DE and point C on side DF. The line BC is parallel to the line EF.

Part A: Is triangle DEF similar to triangle DBC? Explain using what you know about triangle similarity. (5 points)

Part B: Which line segment on triangle DBC corresponds to line segment EF? Explain your answer. (3 points)

Part C: Which angle on triangle DBC corresponds to angle F? Explain your answer. (2 point

Answers

Answer 1

Part A: Yes, Triangle DEF and DBC are the same triangle, but DBC is smaller than DEF because it is just a cut off of DEF.

Part B: I am pretty sure it is angle C.

Part C: I am pretty sure it is angle D.

Answer 2

Answer:

Step-by-step explanation:

Part A.

m < B = m < E (corresponding angles, (BC parallel to EF))

m < C = m < F ( as above)

So triangles DBC and DEF are similar ( by 2 equal angles).

Part B.

Line segment BC ( as they are both opposite < D)

Part C.

< C as its in same relative position to < F.

Related Questions

Triangle ABC is translated left 1 units, and dilated by a scale factor of 2.
Write in the coordinates of vertices A'B'C'.

Answers

Answer:

Step-by-step explanation:

( x , y ) ----> ( x - 1 , y ) ------> ( 2(x-1) , 2y ) = ( 2x - 2 , 2y )

True or false 9x10^-5 is 0.01 times as much as 9x10^-3

Answers

Answer: The answer to this question is true.

Supply the missing reasons to complete the proof.

Answers

Answer:

3. ASA

4. Corresponding sides of congruent triangles are congruent

Step-by-step explanation:

I marked this in the attached image. ∠B ≅∠E, ∠ACE ≅ ∠DCE, and the side between them BC ≅ EC, so the the triangles ΔACB and ΔDCE are congruent by ASA.

If the triangles are congruent, then all corresponding angles and sides are also congruent.

Express the following equation in slope intercept form: 8x-2y=10
PLEESSSSSSSSSSSSSE

Answers

Answer:

[tex]y2 - y1 \div x2 - x1[/tex]

A pentagon has angle measures of 103°, 105°, 114° and 113°. What must the fifth angle measure?

Answers

Answer:

105°

Step-by-step explanation:

A pentagon has a total of 540°

103 + 105 + 114 + 113 = 435

540 - 435 = 105

I hope this helps!

This graph shows the amount of (s) money in Jack's account after (w) weeks.

Which equation represents the amount of (s) money in Jack's account after (w) weeks?

Answers

Answer:

s=6w

Step-by-step explanation:

the graph goes up by 6 on the y axis for everyone one that the x moves

Answer:

Step-by-step explanation:

x-(2x+3)
how to solve and why you change the sign for the +3?

Answers

Answer:

-x - 3

Step-by-step explanation:

x-(2x + 3)

=> x-1(2x + 3)

=> x - 2x - 3

=> -x - 3

Therefore, this is the solution. Hoped this helped.

[tex]GeniusUser[/tex]

Answer:

Step-by-step explanation:

x-(2x+3)

Notice that we can't further simplify the things in the bracket so we should multiply by -1

Technically this is like:

x - 1(2x+3)

-1 times 2x = -2x , -1 times 3 is -3

= x - 2x - 3

= -x - 3

Simplify the expression
x - (12 – 5x)

Answers

Answer:

6x - 12

Step-by-step explanation:

Simplify the expression

x - (12 – 5x) =

x - 12 + 5x =

6x - 12

write the equation of the line that is parallel to Y=2/3 X -7 and passes through the point (-3,1)

Answers

Answer:

y=2/3x+3

Step-by-step explanation:

parallel means it stays the same so its still 2/3

now use the equation y=mx+b

plug in the slope which is 2/3

so we get y=2/3x+b

then plug in the 2 points

1= 2/3(−3)+b

1=-6/3+b

1=-2+b

add 2 to 1 and -2

3=b

so we get y=2/3x+3

What's the value of x?

Answers

Acoording to roman numerals,X is 10

A bag of 12 oranges weighs 4 1/2 pounds, if the oranges are about the same size, how many pounds does each orange weigh

25 POINTS

Answers

0.385

Take the weight of the bag and divide it by the number of oranges in the bag (12) which is:

4.5 / 12 = 0.385

Each orange weighs 0.385 pounds.

Your answer would be 7 7/8 pounds

.hope this helps!

A 7-pound bag of cat food costs $13.93. What is the unit price?

Answers

Answer:

$1.99 is the unit price

Step-by-step explanation:

13.93 divided by 7 determines the unit price

I DONT KNOW AHHHHHH
[tex]0.399 + w = 0.4[/tex]

Answers

Answer:

[tex] \sf \: w = 0.001[/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of w.

The equation is,

→ 0.399 + w = 0.4

Then the value of w will be,

→ 0.399 + w = 0.4

→ w = 0.4 - 0.399

→ [ w = 0.001 ]

Hence, the answer is 0.001.

Doing Corrections
#14 plz and thank you

Answers

Answer:

Step-by-step explanation:

z/3 <= 3
solve for z

Answers

Answer:

assuming <= is less than or equal to

then z/3 is less than or equal to 3

z had to be less than 9

Find the value of 3a^2+2b, If a=3 and b = 4.

An explanation would be great.

Answers

Answer:

=35

Step-by-step explanation:

3(3) ^2 + 2(4)

= 3(9) + 8

= 35

Where you see a, substitute with 3 and where you see b, substitute with 4

Just follow the steps above.

[tex]\\ \sf\Rrightarrow 3a^2+2b[/tex]

[tex]\\ \sf\Rrightarrow 3(3)^2+2(4)[/tex]

[tex]\\ \sf\Rrightarrow 3(9)+8[/tex]

[tex]\\ \sf\Rrightarrow 27+8[/tex]

[tex]\\ \sf\Rrightarrow 35[/tex]

If a - 5b - 3 = 8, then the straight line ax + by + c = 0 must pass through the point
I) (1, 5)
II) (1, -5)
III) (5, -1)
IV) (-1, 5)
Please show your work...No spam.. Thank you.

Answers

Answer:

III) (5, -1)

Step-by-step explanation:

Given relationship between the constants of the line ax + by +c = 0:

a - 5b - 3c = 8

We can try options, the obvious one is:

a = 0, b = - 1, c = - 1

In this case the line becomes:

0x - y - 1 = 0y = - 1

This gives us the point (5, - 1), the option III

Catryna has 15 coins in nickels and quarters, totaling $3.75. How many quarters does she have?

Answers

Answer: 15 Quarters

Step-by-step explanation:

4Q = $1

12Q = $3

3Q = $0.75

12Q + 3Q = $3.75

The price of an item has dropped to $34 today. Yesterday it was $40. Find the percentage decrease.

Answers

15% decrease.
Explanation:
10% of 40 is $4 so another 5% is $2. So 15%

8. Select all the expressions that represent "10% more than x."
A. 10 + x
B. 0.10 + x
C. 0.1x + x
D. 0.1x + 10
E. 1.1x
F. X(1 + 0.1)

Answers

Answer:

Step-by-step explanation:

10/100 = /0.1. it should be more than x so add x to it to be 0.1+X

wich form is more quickly to reveal the y intercept f(x)=3(x-6)^2-75 f(x)=3x^2+36x+33 f(x)=3(x+1)(x+11)

Answers

Answer:

the 2nd option

Step-by-step explanation:

the second option is in standard form (y = ax^2 + bx + c), c gives us the y intercept

The graph represents the fees in thousands of dollars, y, depending on the amount invested in millions, x, with one financial investment firm.
Over what interval is the change constant?
[0, 5)
[1, 5)
[0, 20)
[1, 20)

Answers

The answer is [1,20)

10-4/4x89-1/2+43992/69x174

Answers

10.127781530000000000

Dom mowed 2/5 of his lawn. Maddy mowed 1/4 of it. who mowed most. how much more needs to be mowed

Answers

Answer:

Dom mowed the most and 7/20 is how much is left

Step-by-step explanation:

To compare the answer of which is larger you need a like denominator. Maddy: 5/20

Dom: 8/20

Now what is left for them to do is 7/20.

5. Randall wants to buy a pizza. He can
select from 4 different sizes (s,m,Ixl), three
types of crust (pan, thin, hand toss), and
two toppines (cheese or pepperoni). How
many different outcomes of pizza can
Randall order?

Answers

Answer: 18 outcomes

Step-by-step explanation:

For the small:

pan+cheese

pan+pepperoni

thin + cheese

thin + pepporoni

hand + cheese

hand + pepperoni

which is 6 outcomes

then 6x3(because of the sizes) is 18.

Given the function f(x) = 10x + 8, find each of the following.
f(7)=
f(-8)=
f(0)=

Answers

Answer:8

Step-by-step explanation:

Answer:

f(7)

Step-by-step explanation:

i am pretty sure i am not in highschool so just give me a thanks i am in 6 grade happy rest of the day

The sum of 3 and m
A.x-3
B.1/2y
C.3+m
D.14+3x
E.x+5
F.14+4x

Answers

Answer:

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

first of all thank you for reading this

it's addition which 3 + m

How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!

Answers

Answer: 16:6

Count them all together you will get 16!

With a coupon, you can get a pair of shoes that normally costs $84 for only $72. What
percentage was the discount? Show your work!
LZ Math 7

Answers

Answer:

14%

Step-by-step explanation:

Which of the following are terms in this expression? Select all that apply. 6t+7+9s

Answers

6t and 9s are the terms because they have a variable behind them !

Answer:

6t, 7 and 9s

Step-by-step explanation:

In mathematics, a term is either a single number or variable, or the product of several numbers or variables.

Hope this helps!

Other Questions

which two nutrients are needed in greater amounts by athletes than non-athletes, and why? choose the two best answers. 22 Jurisdiction refers to which of the following? a. Common law b. The constitutionality of a law c. Statutory law d. The authority of a court to hear a particular class of cases e. The rules and principles announced in court decisions help me out pleaseand i need a step by step explanation square pyramid has _______ spaces X cube+6x-16=0find all solutions by factoring.answers (-2,8)(-8,2)(2,8)(-8,-2) She often waits her friend at the bus stop.A. inB. atC. forD. of 11 12 13 14 15 16 17 18 19 20 TIME REMAINING01:52:13Read the passage from chapter 7 of Animal Farm.As Clover looked down the hillside her eyes filled with tears. If she could have spoken her thoughts, it would have been to say that this was not what they had aimed at when they had set themselves years ago to work for the overthrow of the human race. These scenes of terror and slaughter were not what they had looked forward to on that night when old Major first stirred them to rebellion. If she herself had had any picture of the future, it had been of a society of animals set free from hunger and the whip, all equal, each working according to his capacity, the strong protecting the weak, as she had protected the lost brood of ducklings with her foreleg on the night of Major's speech. Insteadshe did not know whythey had come to a time when no one dared speak his mind, when fierce, growling dogs roamed everywhere, and when you had to watch your comrades torn to pieces after confessing to shocking crimes. There was no thought of rebellion or disobedience in her mind. She knew that, even as things were, they were far better off than they had been in the days of Jones, and that before all else it was needful to prevent the return of the human beings. Whatever happened she would remain faithful, work hard, carry out the orders that were given to her, and accept the leadership of Napoleon. But still, it was not for this that she and all the other animals had hoped and toiled. It was not for this that they had built the windmill and faced the bullets of Jones's gun. Such were her thoughts, though she lacked the words to express them.Which statement best describes the use of satire in this passage?Parody is used to illustrate the impact of Stalins purge.Ridicule is used to show the gullibility of the Russian citizens.Reversal is used to show how Clover, representing the people, has changed ideals.Personification is used to show the reader Stalins thoughts and feelings. ok so i do not know this 100 POINTS PLEASE HELP ME 100 POINTS (make fullscreen) An administrative assistant works from home and originally charged her clients $8.75 per hour for any clerical work plus a set fee of $15, or C(h) = 8.75h + 15. She decided to double her hourly fee but keeps her set fee the same. Which of the following functions represents the new fees, N(h)? how did union stuggles affect African Americans Answer the following questions about time expression.1. The phrase Todo El da means _______, but the phrase todos Los das means _______.2. How would you say, "Pilar dances all the time"?______3. how would you say "ins studies every day"______4. How would you say, "Ximena always walks to school"?______ 9 x 6 and explenation will win a brainliest What makes the Earth go around the Sun? Beeswax used in making candles is produced by honeybees produce 7 pounds of honey for each pound of wax they produce. How many pounds of honey is produced if 145 pounds of beeswax help me please and thank you The security alarm on a parked car goes off and produces a frequency of 769 Hz. The speed of sound is 343 m/s. As you drive toward this parked car, pass it, and drive away, you observe the frequency to change by 69.5 Hz. At what speed are you driving The OrnithopterMany people know Leonardo da Vinci today as an artist, and it is true that he was indeed a great painter and sculptor, but he was also an inventor and one of the first individuals in recorded history to draft detailed plans for a flying machine.In order to make a living, Leonardo often depended upon wealthy individuals who would commission work from him. That means they would hire him and pay him to create specific work they wanted. In 1482, when he was 30 years old, Leonardo heard of an opportunity to work for Ludovico Sforza, the Duke of Milan. The duke, however, did not want a painter; he wanted a military engineer to help him defend the city against its enemies. This was an excellent opportunity that would pay Leonardo well, but Leonardo was a peaceful man. He considered war to be a beastly madness. He preferred to make things of beauty.Leonardo made the decision that he could tolerate making weapons if the resources the duke could provide would also allow him to create things he loved. He sent a letter to the duke detailing his skills in designing and building weapons. I will assemble catapults, mangonels, trebuchets and other instruments of wonderful efficiencyI will make an infinite number of items for attack and defense, he wrote.Leonardos letter convinced the duke of his talents, and he got the job. He set about designing the weapons that the duke desired. But Leonardo was infinitely creative, always thinking of new things, new ideashe could not be limited to weapons alone. One idea that he had not mentioned in his application was the ornithopter. It was not a weapon of war, and it was not something that the duke had asked for, but Leonardo went ahead and designed it anyway.Leonardo was fascinated by the idea of flight. The word ornithopter comes from two words meaning bird and wings. And on first inspection, his plans resembled a birds wings attached to a human beings arms. He concluded that a human beings arms were neither strong enough nor light enough to stay in the air for long. So, his design included sets of foot pedals and levers that were operated with the hands. He created detailed plans and presented them to the duke, uncertain of how the duke would react to a design for which he didnt ask.As it turned out, the duke was very impressed with the ornithopter, but it wasnt Leonardos innovation that excited him. He immediately thought of the ways this machine could be used in war. If a spy could fly over the enemys camp, imagine what information he could gather! This was not what Leonardo had intended for his beautiful flying machine.But how Leonardo felt about war turned out not to matter in the end. His ornithopter was never builtalong with his designs for tanks, parachutes, diving suits, machine guns, and even robots that he created for the duke. The ideas of Leonardo da Vinci were centuries ahead of the technology needed to make them.Read the excerpt from "The Ornithopter."He created detailed plans and presented them to the duke, uncertain of how the duke would react to a design for which he didn't ask.Which type of conflict is expressed in this excerpt?individual vs. natureindividual vs. individualindividual vs. societyindividual vs. self What was the main difference between how Japan and China reacted to Western interest in their nations in the late 1800s?1. Japan closed all of its ports to trade, while China opened.2. Japan modernized and adopted western ways, while China believed in building on its historic strengths.3. Japan believed in the strength of its feudal past while China modernized and adopted western traditions.4. There was no difference QuestionRefer to attachment nonsense answer will get report