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

EASY POINTS FOR Y'ALL!!!!!!

Answers

Answer:B

Step-by-step explanation:

Answer:

D, is the correct answer!!

Step-by-step explanation:

Simplify.
6y + 5y



Please help me!!!!!!!

Answers

Answer:

11y

Step-by-step explanation:

The answer is 11y because is kinda like adding. You add 6 + 5 which is 11 and then you just convert the y so its 11y

I need help please #23

Answers

The answer of question 23 is 24

Answer:

24

Step-by-step explanation:

8%=8/100

& 8/100 of 60=4.8  ( "of" in mathematic means "multiply")

check if you get 4.8 by multiplying each of the given options by  1/5

1/5 0f 24=4.8

So 24 will be the ans

How can you tell, without multiplying, if the product of three or more integers will be positive or negative?

Answers

Answer:

divide, or write and equation and solve it

Step-by-step explanation:


Please Help me :)))))))))))

Answers

Answer:

35

Step-by-step explanation:

if GFL = 34 and GEL = 36 FLG would be 35

What is the equation for the line in slope-intercept form? Enter your answer in the box.

Answers

Answer: y=-4x+5

Step-by-step explanation:

Answer:

y=-4x+5

Step-by-step explanation:

1. Find the slope by counting downward and over from one point to another point.  Let's start from (-2,13) and go down to (0,5)

If you are worried about miscounting, you could also use the slope formula which is y2-y1/x2-x1

5-13/0--2

= -8/2

The slope is -4.

2. FInd where the line crosses the y-axis to get the y-intercept. Here it crosses it at 5.

3. Write the equation on slope-intercept form, which is y=mx+b where mx represents the slope and b represents the y-intercept.

y=-4x+5

HELP ME THIS IS SO CONFUSING

Answers

Answer:

365 degrees :)

Step-by-step explanation:

It's a multiple of 5, but with no zeros, so that means the ones place is 5. The hundreds place is two less than 5, so that's 3. And the tens place is two times the 3, so that gives you 365!  

Answer: 365

Step-by-step explanation: hope this helps bud

I need help any help is appreciated please

Answers

Answer:

third option both cost the same after 2 months

1.
Divide:
x+3x+2 x +4x+4
x+1 x + 5x+4

Answers

Answer:

x  

4

−5x  

2

+4

To factor the expression, solve the equation where it equals to 0.

x  

4

−5x  

2

+4=0

By Rational Root Theorem, all rational roots of a polynomial are in the form  

q

p

​  

, where p divides the constant term 4 and q divides the leading coefficient 1. List all candidates  

q

p

​  

.

±4,±2,±1

Find one such root by trying out all the integer values, starting from the smallest by absolute value. If no integer roots are found, try out fractions.

x=1

By Factor theorem, x−k is a factor of the polynomial for each root k. Divide x  

4

−5x  

2

+4 by x−1 to get x  

3

+x  

2

−4x−4. To factor the result, solve the equation where it equals to 0.

x  

3

+x  

2

−4x−4=0

By Rational Root Theorem, all rational roots of a polynomial are in the form  

q

p

​  

, where p divides the constant term −4 and q divides the leading coefficient 1. List all candidates  

q

p

​  

.

±4,±2,±1

Find one such root by trying out all the integer values, starting from the smallest by absolute value. If no integer roots are found, try out fractions.

x=−1

By Factor theorem, x−k is a factor of the polynomial for each root k. Divide x  

3

+x  

2

−4x−4 by x+1 to get x  

2

−4. To factor the result, solve the equation where it equals to 0.

x  

2

−4=0

All equations of the form ax  

2

+bx+c=0 can be solved using the quadratic formula:  

2a

−b±  

b  

2

−4ac

​  

 

​  

. Substitute 1 for a, 0 for b, and −4 for c in the quadratic formula.

x=  

2

0±  

0  

2

−4×1(−4)

​  

 

​  

 

Do the calculations.

x=  

2

0±4

​  

 

Solve the equation x  

2

−4=0 when ± is plus and when ± is minus.

x=−2

x=2

Rewrite the factored expression using the obtained roots.

(x−2)(x−1)(x+1)(x+2)

Marcella and Juan are baking brownies. The recipe lists
2/3 cup of flour. They
only have 2/3
cup of flour left.
How many more cups of flour do they need to
bake the brownies?

Answers

Answer:

0

Step-by-step explanation:

2/3 - 2/3 = 0/3 = 0

Find the slope of a line with a y-intercept of -5 that goes through the point (12,3).
Formula: y=mx+b

Answers

Slope is equal to rise over run. In this case there is a point at (0,-5), and (12,3). The change in the y is positive 8, and x positive 12. Because of the slope formula change in y over change in x, you could write this as 8/12, or 2/3. The equation would then be

y=2/3x-5

I WILL GIVE BRAINLY!!!!!!!!!

Samuel earns $5 per hour plus 65% commission on all his sales. If y represents
his sales for one day, which expression represents Samuel’s total earnings for a
day when he worked 6 hours?
A. 5(6) + 65y
B. 5(65) + 6y
C. 5(6) + 0.65y
D. 5(6) + 1.65y


PLSS SHOW YOUR WORK PLSSS

Answers

Ok Bett lmk it’s c btw just lmk tho

Kendra washes windows in an office building. She washes 25 2 5 of the windows on Monday. She washes 13 1 3 of the windows on Tuesday. What fraction of the windows remain for Kendra to wash?

Answers

I think you mean 2/5 and not 25 for Monday and 1/3 and not 13 on Tuesday. So i will solve with the fraction.

Answer: The fraction of the windows remaining  for Kendra to wash=4/15

Step-by-step explanation:

Step 1

The fraction of windows washed on Monday = 2/5

The fraction of windows washed on Tuesday= 1/3

Fraction remaining to be washed = Total windows - Fraction already washed

Step 255

Fraction already washed=2/5 + 1/3 =6+ 5/15 = 11/15

The total numbers of windows in the office will be represented as 1 whole number since we are dealing with fractions such that the

Fraction remaining to be washed = 1- Fraction already washed

= 1- 11/15 = 15/15-11/15= 4/15

Answer:

Step-by-step explanation:

.Write the following number in expanded form using powers of 10: 67.938

Answers

Answer:

67.938 =

(6 * 10^1) + (7 * 10^0) + (9 * 10^-1) + (3 * 10^-2) + (8 * 10^-3)

Step-by-step explanation:

Here, we want to write the given number in expanded form

Mathematically that will be ;

60 + 7 + 0.9 + 0.03 + 0.008

Using the power of 10, that will be;

(6 * 10^1) + (7 * 10^0) + (9 * 10^-1) + (3 * 10^-2) + (8 * 10^-3)

What is the imagine point of (-1,-5) after a translation left 1 unit and up 4 units?

Answers

Answer:

-2, -1

Step-by-step explanation:

So moving left would affect the x-axis.

Left would move it to the negatives so -1 - 1 = -2.

Moving up would affect the y-axis.

Up would move towards the positive so -5 + 4 = -1.

-2, -1

8n - 32 + 5m + 33 - 3

Answers

8n - 32 + 5m + 33 - 3

8n-32+5m+30

8n-32+30+5m ( rearranging)

8n-2+5m

answer:

5m+8n-2 or 8n+5m-2

Answer:

[tex]8n+5m-2[/tex]

Step-by-step explanation:

Simplify the expression by combining like terms:

[tex]-32+33-3\\\\1-3\\\\-2[/tex]

Insert:

[tex]8n+5m-2[/tex]

:Done

Which graph shows 3x - y = 1?

Answers

Answer:

The graph below shows the graph of 3x - y = 1.

Hope this helps! :)

Wendy tasted 12 desserts from each bakery in her county. Each bakery has an equal number of desserts.

Is this sample of the desserts from the county's bakeries likely to be representative?

Answers

It is difficult to determine whether the sample of desserts that Wendy tasted is representative of all desserts from the county's bakeries without additional information.

First, it depends on the total number of bakeries in the county. If there are only a few bakeries, Wendy's sample of 12 desserts from each bakery may not be enough to accurately represent all the desserts in the county. On the other hand, if there are many bakeries, and Wendy tasted 12 desserts from each one, then her sample may be more representative.

Secondly, it is important to consider how the bakeries were selected. If Wendy only tasted desserts from certain types of bakeries or only in certain areas of the county, her sample may not be representative of all the county's bakeries.

Therefore, without more information on the total number of bakeries in the county and the selection process, it is difficult to determine whether Wendy's sample of desserts is representative of all the desserts from the county's bakeries.

To learn more about sample here:

https://brainly.com/question/12496604

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Expand and simplify
1: (2 ) a) 9( 3 – 10n ) -3 ( 10n + 1 )

Answers

Answer:

Hope it can help you .......

Mark me as a brainlist and follow me.....

Find the perimeter of the figure.

Answers

Answer:

17x-3

Step-by-step explanation:

6x+9 + 3x-2 = 9x+7

2(4x-5) = 8x-10

9x+7 + 8x-10 = 17x-3

Answer:

Step-by-step explanation:

Answer:

17x-3

Step-by-step explanation:

6x+9 + 3x-2 = 9x+7

2(4x-5) = 8x-10

9x+7 + 8x-10 = 17x-3

Bob’s monthly phone bill is made up of a $10 fee plus $0.05 per minute. Bob’s phone bill for July was $22. Write an equation to model the situation using m to represent the number of minutes. Solve the equation to determine the number of phone minutes Bob used in July.

Answers

Answer:

equation: 10 + 0.05x=22

Step-by-step explanation:

the next step after writing the equation would be to subtract 10 from both sides to get 0.05x=12. after this you would then have to divide 12 by 0.05 to get 240 minutes. you could check it by putting 240 in for x to get 10+0.05(240)=22. you would then multiply 0.05 by 240 to get 12 and then add 10 onto it to get 22 which was already given.

9514 1404 393

Answer:

  equation: 10 +0.05m = 22

  solution: Bob used 240 minutes in July

Step-by-step explanation:

Bob's bill is the total of the fixed fee and the charges based on minutes. The latter is 0.05m, where m is the number of minutes. Hence, Bob's July bill is ...

 10 + 0.05m = 22 . . . . . total of charges for July is $22

__

The equation is solved by subtracting the constant and dividing by the coefficient of m.

  0.05m = 12 . . . . . subtract 10

  m = 12/0.05 = 240

Bob used 240 minutes in July.

Jenny earned 110 of a possible 148 points on a test. She lost 2 points for each incorrect answer. How many incorrect answers did she have?

Answers

She answered 19 questions incorrectly

Answer: She had 19 incorrect answers

Step-by-step explanation:

n = number of incorrect answers at 4 points per answer

110 = 148 - 2n

Solve for n

n = (148 - 110)/2 = 19

select Yes or No to indicate whether each of the ordered pairs is most likely a solution to the equation represented by the graph

Answers

Answer:

(-1, 4)

Step-by-step explanation:

From the graph we see that;

At x = 0, y has a value of 1

At x = 2, y has a value of 1

At x = 1, y has a value of 0

At x = -1, y has a value of 4

Looking at the given options, the only ordered pair that corresponds to a correct reading on the graph as earlier observed is; (-1, 4)

Answer:

no

no

yes

Step-by-step explanation:

what is an equivalent fraction to 9/28 ​?

Answers

Answer:

18/56

Step-by-step explanation:

Answer:

18/56

Step-by-step explanation:

9/28= 18/56

for the top 1 I multiplied the numerator and denominator by 2 and then when you simplify it you get 9/28

1.) What is the maximum number of zeros for the following function
f(x) = x - 2x2 - 11x + 12

Answers

Answer:

-14x+12

Step-by-step explanation

f(x)=-14

In the supermarket, there were 434 boxes of cereal, 285 gallons of milk, and 176 cans of orange juice. About how many
breakfast items were there? Use rounding to the nearest hundred to estimate the total number of breakfast items.

Answers

Answer:

900

Step-by-step explanation:

434+285+176 is 895,895 to the nearest hundred is 900

Part B: A triangle has vertices A (-2, 3), B (0, 0), and C (1, 2). What are the coordinates of the vertices if the original triangle is dilated by a scale factor of 3 and then reflected over the x-axis?

Answers

Answer:

(-6,-9) , (0,0) and (3,-6)

Step-by-step explanation:

Here, we want to find new coordinates after dilating by 3 and reflecting over x-axis

By dilating by a factor of 3, we multiply each term by 3

We have the following;

A’(-6,9) B’(0,0) and C’ (3,6)

Now if we want to reflect the point (x,y) over x-axis, what we shall have is (x,-y)

So the vertices will be as follows;

(-6,-9) , (0,0) and (3,-6)

the table below shoes the rates for two duplicating companies. quick copy copy place initial fee of $5.00 initial fee of $10.00 $0.06 per page $0.04 per page the total cost, c, is dependent on the number of pages, p, that are duplicated. which of these systems of equations represents this situation? p = 5 + 6c p = 10 + 4c ⊝ c = 5 + 6p c = 10 + 4p ⊝ p = 5 + 0.06c p = 10 + 0.04c ⊝ c = 5 + 0.06p c = 10 + 0.04p

Answers

Answer:

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The system of equations representing the rates for two duplicating companies are -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the rates for two duplicating companies. There are two different rates as-

[1] > initial fee of $5 and $0.06 per page.

[2] > initial fee of $10.00 and $0.04 per page.

For the [1] company, we can write the equation as -

C[1] = 5 + 0.06x

For the [2] company, we can write the equation as -

C[2] = 10 + 0.04x

So, the system of equations will be -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

Therefore, the system of equations representing the rates for two duplicating companies are -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

To solve more questions on equation modelling, visit the link below-

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6. A rectangle has a length of (x + 2) and a width of (3x
an expression in simplest form for the perimeter of the rectangle,

Pleaseee urgent!! Thank youuu

Answers

8x + 4
x + 2 + x + 2 + 3x + 3x = 8x + 4

"If three angles and two sides of two triangles are congruent, are the triangles congruent? Why or why not?"

Answers

Answer:

yes

Step-by-step explanation:

because the corresponding angles are congruent, the triangles are congruent through CPCTC. If two sides are congruent and an included angle, then the triangles are congruent through the SAS postulate. And if two sides and a non-included angle are congruent then the triangles are congruent through the AAS postulate. Any way of looking at this proves congruency through various postulates, therefore the trianlges are congruent.

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