On the graph, two right triangles have the line as the hypotenuse. In this task, you will use these triangles to show that the slope between points E and A is the same as the slope between points A and C.


Q1:
Which angles of the triangles measure 90°?

Q2: To show that the other two angle measurements in each triangle are equal, you can use parallel lines cut by a transversal. Which two pairs of line segments formed by triangle sides are parallel, and what is the transversal for each pair?

On The Graph, Two Right Triangles Have The Line As The Hypotenuse. In This Task, You Will Use These Triangles

Answers

Answer 1

Answer:

1.The 6th one

2. The pairs can be (6, 8)

Step-by-step explanation:

Answer 2

We know that, the Slope is always given as [tex]\bold{\dfrac{Rise}{Run}}[/tex], where the rise is the vertical height of the slope and run is the horizontal length of the slope.

For Δ ADE,

rise = DE = 4 units,

run = DA = 6 units,

[tex]\bold{slope = \dfrac{Rise}{Run} =\dfrac{4}{6} = \dfrac{2}{3}}[/tex]

For Δ ABC,

rise = AB = 2 units,

run = BC = 3 units,

[tex]\bold{slope = \dfrac{Rise}{Run} = \dfrac{2}{3}}[/tex],

Thus, the slope of line EA and AC is equal.

We know in a Right Angle Triangle the side opposite to the right angle is the longest side and it is known as hypotenuse.

As already mentioned in the question " two right triangles have the line as the hypotenuse", which means line EA and line AC are already said as the hypotenuse of the triangles. therefore, the angle opposite to them is the right angle in the triangles.

1.)  

In ΔABC, the hypotenuse is the line AC, therefore, the right angle is the opposite angle which is ∠ABC.

Similarly,  In ΔEDA, the hypotenuse is the line EA, therefore, the right angle is the opposite angle which is ∠EDA.

2.)

Parallel lines are those lines that always maintain the same distance between them and will never meet. whereas, a transversal is a line that crosses two or more parallel lines. As shown in the image below,

Here, there are two pairs of parallel lines cut by a transversal

Pair I:   line ED and line AB are a pair of parallel lines, can be easily seen if both the lines are extended, while AD (or x-axis), line BC(only if extended), and line EC are the transverses between them.

Pair II:  line DA and line BC are a pair of parallel lines, can be easily seen if both the lines are extended, while AB (or y-axis), line ED(only if extended), and line EC are the transverses between them.

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On The Graph, Two Right Triangles Have The Line As The Hypotenuse. In This Task, You Will Use These Triangles

Related Questions

Selena babysits on the weekends. The equation y = 12x represents the amount of money she earns. What is the constant of proportionality?​

Answers

Answer: According to the question the constant would be 12

Step-by-step explanation: Its 12 because every hour she earns 12 dollars and as the y changes so will the amount of money she earns Ex: y=2 she earns 24 dollars.

Answer - 12

Step by step- She is constantly earning 12 dollars per hour and that factor is never changing therefore it would be the constant of proportionality

A hairstylist schedules 1/4 hour to trim a customer's hair and 1/6 hour to style the customer's hair. The hairstylist plans to work 2 1/3 hours each day for 5 days each week. How many appointments can the hairstylist schedule each week if each customer must be trimmed and styled?

Answers

Answer:

5 3/5

Step-by-step explanation:

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Roast beef at a deli sells for $6.40 per pound. A package of the roast beef costs $16.64. How many pounds of roast beef are in the package?

Answers

Answer: 2.56 or 2.5

Step-by-step explanation:

you do 16.64 divided by 6.40

Answer:

2.6 pounds

Step-by-step explanation:

16.64 / 6.40 = 2.6

If this wrong I'm sorry I tried to help

you divide them in order to get of how many pounds of roast beef.  

Could anyone help me with this? (A question I've been wondering about.)

Answers

Xbxhfjtiifixkdjdyfhdkkd 388484

Answer: 1

Step-by-step explanation:

Go with division first (PEDMAS/PEMDAS)

3 divided by 1/3 = 9

Then, do the subtraction.

9-9 = 0

Lastly, add the 1 at the end.

0+1=1

I heard this was a famous problem because of the division, but this is what I got.

In a direct variation, y = 14 when x = 2. Write a direct variation equation that shows the relationship between x and y.

Answers

x is only 2 if y=14 I think is the answer

Please help! Will give brainliest for proper answers! 6-10 needs to be answered

Answers

What is the function of the graph I can help if I know that

1,615 ÷ 42

Yea a divson prob its easy right I'm just timed two this is 1 minite so plz help

Answers

Answer:

[tex]38\frac{19}{42}[/tex]  

I hope this helps!

Answer:

38.4523809524 I believe

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Answer the questions to find out.

1. How many repeating digits does the number represented by n have?


Write your answer in the space below.















2. You need to multiply n by a power of 10 to help you find the fraction. Decide on the power of 10 to multiply by, and tell how you identified that number.


Write your answer in the space below.















3. Write an equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by that power.


Write your answer in the space below.















4. Write the original equation, n = 0.1515... underneath your equation from question 3. Then subtract the equations. Show your work.


Write your answer in the space below.















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Write your answer in the space below.

Answers

The answer is in your brain :)
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A farm lets you pick 3 pints of raspberries for $12.00.

1.) What is the cost per pint?
2.) How many pints do you get per dollar?
3.) At this rate, how many pints can you afford for $20.00?
4.) At this rate, how much will 8 pints of raspberries cost?

Answers

Answer:

Step-by-step explanation:

3 pints = $12

1 pint = 12/3 = $4

$1 = 1/4 pint

$20 = 1/4 x 20 = 5 pints

8 pints = $4 x 8 = $32

Answer:1. $4 per pint

2. 0.25 pints per dollar

3. you can afford 5 pints with $20

4. $32 for 8 pints

write a word phase for p devided 3
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B) a product of a number and 3
C) the quotient of a number and 3
D) a number decreased 3

Answers

A number plus 3 is 3
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PLZ HLP! I WILL GIVE BRAINLIEST
What is 12 1/2%expressed as a fraction?

Answers

Answer:

13/2??   im not completely understanding

Step-by-step explanation:

Answer:

3/25

Step-by-step explanation:

A home improvement store advertises 60 square feet of flooring for $287.00, which includes a $80.00 installation fee. Write an equation to represent the cost of one square foot of flooring. A. 80x + 60 = 287. B. 60x + 80 = 287 C. 60x - 287 = 80 D. 80x - 287 = 80

Answers

Answer:

B

Step-by-step explanation:

ez

The answer is B. Because when it’s Sq Ft. u multiply and u add on the rest.

2. which of the following numbers is both an integer and a rational number?
a. -17.6
b. 17/2
c. square root of -121
d. square root of -136

3. which number does not belong in the whole number box, but would belong in the natural box?
a. -15/3
b. -208.3
c. 12
d. 0

Answers

Iifjfjfjfjfjbgjgjggjjffj
I’m pretty sure 2. Is A and 3. Is D

Which number is missing from the list of factors for 48?

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3
20
7
14

Answers

3 is the answer

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The answer is 3 because you can't multiply 20,7,14 well

Elijah estimates that 54 students will be at the school dance. Angel estimates that 45 students will be. There are actually 48 students at the dance. How much less is the percent error in Angel's estimate than in Elijah's estimate?

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-3% less
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Answers

I believe c- -3% less
(Sorry if wrong) :/

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Answers

Answer:

The y intercept is (0,900) and the x intercept I have no idea.

Step-by-step explanation:

Answer: the y intercept is (0,900) the x intercept is (70,0)

Step-by-step explanation: I hope I’m correct!!

Chris is trimming trees. He can trim 2/3 of a tree in 30 minutes. Complete the table to show how many trees Chris can trim for different number of hours. Drag the answers to the correct spot on the table. 5,4,10,4/3,12,1/2,1 1/3
times 1,3,9

Answers

Answer:

the answer should be 1 1\3 that equals one hour.

Step-by-step explanation:

11/3 one hour I think

Please help me with this

Answers

The first one you pick goes with 2 and the exponent -5 on the top
The second one you pick goes into I think into the 2 and exponent -32
And the third one you pick goes into the 1
The last one matches with the last one
Ik I might be late or this might not help but
i’m doing the same thing right now!

its math. i dont know if it easy or not im just confused

Answers

Answer:

1.5 to 2

Step-by-step explanation:

the answer is 3:4 because you have 6 googles and 8 life jackets 6:8 is simplified to 3:4

45+-18 I really need help with this

Answers

Answer:

27................

=3

Answer:

27

Step-by-step explanation:

this is very easy just subtract 45-18

here is another question for brainliest

Answers

Answer:

Step-by-step explanation:

I think its the third answer choice

Answer:
I think the right answer was B)

Here are three figures. Two are similar and one is not.

Explain which figures you think are similar and how you know.

Answers

Answer:

I'd say A and C. Similar means the same shape but increased or decreased in size.

Answer:

A and C

Step-by-step explanation:

They're the same, but C is bigger than A

Which expression is equivalent to 6^3?
A) 6 x 3
B) 6 x 6 x 6
C) 3 x 3 x 3 x 3 x 3 x 3
D) (2x3) x (2x3) x (2x3)

Answers

B

Any number with ^ means the power of [said number]. You would times the number by how much is said ( times it by it’s self)
B) 6 x 6 x 6 is equivalent to 6^3

Find the value of x and y

Answers

Answer:

x = 80, y = 122

Step-by-step explanation:

I got this equation by using vertical angles to create a complimentary angle pair (they sum to 90 degrees).

3/4x+2/5x-2=90°,

23/20x - 2=90°,

23/20x = 92°,

92/(23/20)

20/(1/4)

20(4)

= 80.

Since the angles are a linear pair on the left side(they sum to 180 degrees). Just subtract 180 from 3/4x-2 and substitute x into the expression.

180-(3/4(x)-2), 180-3/4(80)+2 = 120+2 = 122

Money that is collecting interest in a bank account triples in value every 20
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When the account was
opened, it had 81, or 34 dollars in it. After 60 years, the
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It now has a balance of 34. 33. Expressed as a power, how much money, in
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O A. 3^7
O B. 3^3
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D. 9^7

Answers

Answer:

is it... b...? ;-;

Step-by-step explanation:

plz plzzz dont be mad at mehh if wrong :P

^O^                  

^﹏^

Answer:

A just did the test :)

Step-by-step explanation:

subtract
1 2/5 - (-3/5)
enter your answer in simplest form

Answers

Answer:

it would be 2

1 2/5 - (-3/5) = 2

The answer would be 2.

Help meeeeeeeeeeeeee... please dont answer it if u dont know the ans or almost the ans

Answers

Answer: it should be 48%

I asked my teacher and he said that it’s 48%

Problem: Four students tried to write 12x + 3y=9 in equivalent y= mx + b form.
Question: Did each student get an equation that is equivalent to the original Ax + By=C form?
If so, explain the reasoning for each step. If not, tell what errors the students made.
Use google docs to submit this assignment.

Answers

Answer:what grade is this

Step-by-step explanation:

PLZZZZZZZZZZZZZZZZZ HELP ME WITH THIS IT DUE TODAY and explain!!!!!
1 is the first image question


2 is second image question

Answers

Your doing it all wrong your answer is 3

Answer:

45

Step-by-step explanation:

Someone please help! This is part of my grade :( PLEASE dont answer wrong I’m really serious about my grades

Answers

A. 2.25 x 10 to the 5th power
B. .0012
C. 7.4 x 10 to the negative 4th power
D. 54,600,000

Answer:

A. 2.25*10^5

B. .0012

C. 7.4*10^-4

D. 54,600,000

Step-by-step explanation:

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