Plot A(0, 0), B(1, 0), C(1, 2), D(2, 0), and E(2, 4). Then sketch ∆ABC and ∆ADE. By what postulate or theorem could you show that ∆ABC and ∆ADE are similar? A. AA Similarity Postulate B. SAS Similarity Theorem C. SSS Similarity Theorem D. Any of the above could be used to show that the triangles are similar.

Answers

Answer 1

Answer:

1) Please find attached the given plot and sketch of the points created with Microsoft Word

2) The correct option is;

A. AA Similarity Postulate

Step-by-step explanation:

1) Please find attached the given plot and sketch of the points created with Microsoft Word

2) The given parameters are;

The coordinates of the points are A(0, 0), B(1, 0), C(1, 2), D(2, 0) and E(2, 4)

Therefore, we have;

The length of segment AB = 1

The length of segment BC = 2

The length of segment AD = 2

The length of segment DE = 4

Therefore, we have;

∠ABC = ∠ADE = 90°

∠BAC = = artctan(2/1) = ∠DAE = artctan(4/2) = 63.435°

Therefore, ΔABC and ΔADE are similar by AA Similarity Postulate

Plot A(0, 0), B(1, 0), C(1, 2), D(2, 0), And E(2, 4). Then Sketch ABC And ADE. By What Postulate Or Theorem

Related Questions

Hello I don't know what I'm doing can someone please help.
I don't know how to solve a standard form slope equation can you please explain what I have to do.
The slope of the line 5x + y = 15 is___

Answers

Answer:

x = -1/5y +3

Step-by-step explanation:

add -y to both sides

5x + y + -y = 15 + -y

5x = -y + 15

step 2 divide both sides by 5

5x/5 = -y +15/5

x= -1/5 y +3

Answer

x= -1/5 y + 3

what is the cost per ounce for 10 ounce package of cashews

Answers

Answer:

you have to give more explanation as right now the equation is unsolvable

Step-by-step explanation:

what is a gross pay ?

Answers

The amount of pay before deductions
This is correct... Net pay is after deductions

For households and individuals, gross income is the sum of all wages, salaries, profits, interest payments, rents, and other forms of earnings, before any deductions or taxes. It is opposed to net income, defined as the gross income minus taxes and other deductions

1)
Which decimal represents the portion that is NOT shaded?
A)
0.003
B)
0.03
0
0.3
D)
3.0

Answers

Answer:

D) 3.0

Hope this helped

What is the slope of this line?
Points on this line include (1,3) (2,6) and (3,9). Number only. Just write the slope in simplest form.

Answers

the slope of this line i’m pretty sure is 2,6 of it is wrong i aplogize but this is the most reasonable answer thanks you for your time and i hope you get the answer right

Please help !! Which statement best describes the data ?

Answers

Answer:

The correct statement is C.

Step-by-step explanation:

A boxplot, also known as a box and whisker plot is a method to demonstrate the distribution of a data-set based on the following 5 number summary,

1. Minimum (shown towards the left of the chart)

2. First Quartile (shown by the left-most line of the box)

3. Median (or the second quartile) (shown as a line in the center of the box)

4. Third Quartile (shown by the right-most line of the box)

5. Maximum (shown towards the right of the chart).

From the provided box plot it can be concluded that:

Minimum = 3First Quartile = 6Median = 9Third Quartile = 12Maximum = 15

The median is a quantity in statistics that points out where the mid-value of a data set is. Half of the data is less than the median and half is more than the median.

The median is 9, i.e. half of the data is less than 9 and half is more than 9.

The correct statement is C.

Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven. Let m = the number of miles Mr. Parker drives for the day. Write an algebraic expression that shows the amount he will pay for the van. * 10 points \

Answers

Answer:

y=0.35m+50

Step-by-step explanation:

Step one:

given data

the daily fee= $50

cost per mile driven =$0.35

Let m = the number of miles

let y be the total cost

Step two

Required

the expression for the total cost is

An algebraic expression that shows the amount he will pay for the van. is  

y=0.35m+50

Your janitorial contractor wants all tenants to pay a surcharge of 8.5% to cover increased fuel costs. Your monthly cost is $450. What would the surcharge amount be?

Answers

Answer:

$38.25

Step-by-step explanation:

Casey currently owes $500 to his parents. He plans to pay them $60 per month until it is
paid off. Sally also owes her parents money. She borrowed $600 from them and plans to
pay them back $80 per month. Is there a time when they will both owe their parents the
same amount of money?

Answers

Answer:

They will both owe their parents $200 when Casey is paying his 5th month and Sally is paying on her 5th month.

Step-by-step explanation:

If Casey pays 60 dollars after 5 months, he will have payed $300 dollars. He still needs to pay $200.(500-300) If Sally pays 80 dollars after 5 months, she will have payed $400 dollars. She still needs to pay $200. (600-400)

What’s 123.45 + 67.891
Step By Step?

Answers

Answer:

123.45 + 67.891 = 191.341

Step-by-step explanation:

I don't know really know how to explain but I'll try to. So since 123.45 is the larger decimal so you put it first then below it you put 67.891.(not that it is necessary)

Then add a zero to 124.45. Meaning it will be 123.450. (It is the same number, we just have to add a zero there.)

Add then just add like you normally do. Just try doing it and you'll see.

Lines / and m parallel. Can be represented by the 3x+4y=8. If line m passes thorough the point (2,-5), which equation can be used to find the equation of line m

Answers

Answer:

y=−34x+2.75

Step-by-step explanation:

Parallel lines have the same slope. Solve for the slope in the first line by converting the equation to slope-intercept form.

3x + 4y = 12

4y = –3x + 12

y = –(3/4)x + 3

slope = –3/4

We know that the second line will also have a slope of –3/4, and we are given the point (1,2). We can set up an equation in slope-intercept form and use these values to solve for the y-intercept.

y = mx + b

2 = –3/4(1) + b

2 = –3/4 + b

b = 2 + 3/4 = 2.75

Plug the y-intercept back into the equation to get our final answer.

y = –(3/4)x + 2.75

What is the length of line segment BC

Answers

Answer:

BC = 1

Step-by-step explanation:

AB = x + 16

BC = x +6

AB + BC = AC

x + 16 +x + 6 = 12

x + x + 16 + 6 = 12

        2x + 22 = 12

              2x = 12 - 22

             2x = -10

               x = -10/5

x = - 5

BC = x + 6 = - 5 + 6 = 1

Answer:

BC = 1

Step-by-step explanation:

Frm the diagram

AB + BC = AC , substitute values

x + 16 + x + 6 = 12

2x + 22 = 12 ( subtract 22 from both sides )

2x = - 10 ( divide both sides by 2 )

x = - 5

Thus

BC = x + 6 = - 5 + 6 = 1

PLEASE HELP
The question is in the picture so this is just filler text but please help me ASAP

Answers

OC should be 5, since DE is a bisector, meaning OB and OC should be the same length. That would make BC 10, because you’re adding the two 5s together

marking brainliest to whoever can help me

Answers

The mean is 7.5 and the median is 8 so the answer would be 0.5


Adrian currently has $400 in his savings account. He saves $20 per month. He saves the same amount each month and does not take any money
out of the account. In how many months will Adrian have $700 in his savings account?
O 35 months
o 15 months
o 55 months
o 20 months

Answers

Answer:

15

Step-by-step explanation:

if 5 20s is 100 then do it times three if that makes sence lol

I need help with this plz percent equations 100% of blank = 600,000

Answers

Answer:

100% of 600,000 = 600,000

Step-by-step explanation:

The answer will be 600,000

Since

100% of 6,000,000 = 6,000,000 so,

100% of 600,000 = 600,000

600,000, since 100% of something is the number itself.

what is 5 1/3 as an improper fraction??

Answers

Answer:

5/3

Step-by-step explanation:

PLS MAKE ME AS BRAINLIST

4 and 5 PLEASEEEE!!!

Answers

Answer:

True

Bones seperated from a joint

Step-by-step explanation:

Answer:

5 is bones separated from the joint

Step-by-step explanation:

I need help ASAP pic below

Answers

Answer:

Step-by-step explanation:

2) ∠A + ∠B = 146       {Exterior angle theorem}

5y + 3 + 4y + 8 = 146

5y + 4y + 3 + 8 = 146           {combine like terms}

         9y + 11 = 146

               9y = 146 -11

               9y = 135

                 y = 135/9

y = 15

3) m∠A = 5y + 3

              = 5*15 + 3

              = 75 + 3

A = 78

4) m∠B = 4y + 8

            = 4*15 + 8

            = 60 + 8

      m∠B = 68

5) m∠ACB + m∠A + m∠B = 180   {Angle sum property of triangle}

 m∠ACB  + 78 + 68 = 180

           m∠ACB + 146 = 180

                       m∠ACB = 180 - 146

                      m∠ACB = 34

help for brainliest plsssssssssssss

Answers

Answer:

2,472 / 2 = 1,236

what’s the axis of symmetry & vertex *PICTURE*

Answers

Answer:

2.5

Step-by-step explanation:

:)

please help me with this question

Answers

Answer:

First question is 109

Second question is 45, but I guess it's a typo with 145.

Urgent!!!!

If you were 6' 6 1/2" tall, about how many meters tall would you be? Hint: "There are 3.28 feet in a meter."

6.4 meters
2 meters
1.8 meters
7 meters
3.5 meters

Answers

Step-by-step explanation:

2 meters is the answer

please give me brainliest

A farmer has 300 feet of fence available to

enclose a 4500 square foot region in the

shape of adjoining squares, with sides of

length x and y. The big square has sides of

length x and the small square has sides of

length y. Find x and y.

UUUULTTUUL

x= ? feet

y = ? feet

Answers

Given :

A farmer has 300 feet of fence available to  enclose a 4500 square foot region in the  shape of adjoining squares, with sides of  length x and y.

The big square has sides of  length x and the small square has sides of   length y.

To Find :

The value of x and y.

Solution :

From attached figure perimeter is given by :

x + x + x + y + y + y + ( x-y ) = 300 ft

4x + 2y = 300

2x + y = 150  ...1)

Now, area is given by :

A = x² + y²

x² + y² = 4500  ...2)

Putting value of y in equation 2), we get :

[tex]x^2 + ( 150 - 2x)^2 =4500\\\\x^2 + 4x^2 + 22500-600x =4500\\\\5x^2 -600x + 18000=0\\\\x^2 - 120x +3600=0\\\\x^2-2\times x\times 60 + 60^2 =0\\\\(x-60)^2 =0\\\\x = 60\ ft[/tex]

y = 150 - ( 2× 60 )

y = 30 ft

Therefore, the value of x and y is 60 ft and 30 ft respectively.

Simplify using distribution and combining like terms
7 (3x + 2y) – (13x – 3y)

Answers

Answer:

8x + 17y

Step-by-step explanation:

Hope this helps! Please mark as brainlest.

Thanks!

8x+17y
Hope that help!

Someone answer this for me

Answers

Answer:

2 3/4

Step-by-step explanation:

I think is the right answer hope it helps

I WILL GIVE THE BRAINLIEST!!
Which of the following will always be true of a table that is non-proportional?

Answers

Answer:The graph will pass through the origin. The graph will not pass through 0,0.

Step-by-step explanation:

Have a nice day

What is the equation of the line that passes through the point (3,-5) and has a
slope of o?

Answers

Answer:

y = -5

Step-by-step explanation:

slope of 0 means m = 0 in y intercept form y = mx + b.

they have given you (3, -5), plug these in and solve for your equation.

remember, a line that has a 0 slope means it is a horizontal line.

y = mx + b

-5 = 0(3) + b

-5 = b

so you have, y = -5.

determine how many solutions if correct bainliest​

Answers

Answer:

No solutions

Step-by-step explanation:

6x+2y=20

-3x-y=-4 (by rewriting)

So

6/-3 = 2/-1≠20/-4

-2=-2≠-5

So it has no solutions

To add or subtract numbers with the power of ten you need to make sure the exponents match before you do anything to the coefficients

Answers

Answer:

is this a true or false question? If so, it's false. To add or subtract, the bases have to match, not the exponents.

Step-by-step explanation:

Answer:

nope it doesn't matter the exponents they don't have to match but you later have to add them and add that many zeros back as the exponents

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