which construction can you use to prove that the Pythagorean theorem based on similarity of triangles​

Answers

Answer 1
A right angle triangle can be used to prove the Pythagorean theorem as (The length of the hypotenuse which is the long side is equal to the other sides of the triangle ). AC^2 =AB^2+BC^2
Answer 2

The construction that you can use to prove the Pythagorean Theorem based on similarity of triangles is 2nd construction. Please see the attached file.

What are similar triangles?

Two triangles are similar triangles of their corresponding angles are equal corresponding sides are in equal ratios.

The Pythagorean theorem, also known as Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It mentions that the sum of the squares of the other two sides is equal to the square of the hypotenuse (the side opposite the right angle).

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Which Construction Can You Use To Prove That The Pythagorean Theorem Based On Similarity Of Triangles

Related Questions

can somewon help me plz

Answers

Answer:

parallel

Step-by-step explanation:

We are cutting in the same direction as the base, so the slices is parallel to the base

the answer is parallel to the base

Liam tried to define a translation. - Point A maps to point A' - Every point P maps to point P' such that PP' is parallel to AA' and points in the same direction as AA' Which counterexample shows that Liam's definition does not fully define a translation?

Answers

Answer:

B

Step-by-step explanation:

This is the correct answer.

From The diagrams shown here, the option that does not fully define a translation is B.

What is a translation in mathematics?

In mathematics, this is another word for a transformation. What the translation does is that it helps to move a shape in different ways without altering the appearance of the shape.

The translation in this question is option B given the definition that we have above.

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Helllllpppppp!
I went to Starbucks and purchased three coffees and two cake pops with a total cost of $7 dollars. Then I
went to Einstein Bagels and purchased two coffees and four cake pops for $8 dollars. What is the price for a
single coffee and single cake pop?

x=cost of a single coffee
y= cost of a cake pop

3x+2y+7
2x+4y+8


Answers

Answer:

Step-by-step explanation:

The system of equations is:

● 3x + 2y = 7

● 2x + 4y = 8

Where x is the price of a single coffee and y is the price of a single coffee

We will solve this simultaneous equations using the graphing method:

The solutions is the intersection point of to the lines.

(Picture below)

The intersection point is (1.5,1.25)

Answer:

x = 1.5

y =1.25

Step-by-step explanation:

3x+2y=7

2x+4y=8

Multiply the first equation by -2

-2(3x+2y=7 )

-6x-4y = -14

Add this to the second equation

-6x-4y = -14

2x+4y=8

----------------

-4x = -6

Divide by -4

-4x/-4 = -6/-4

x = 1.5

Now find y

3x+2y=7

3(1.5) + 2y = 7

4.5 +2y = 7

Subtract 4.5 from each side

2y = 2.5

Divide by 2

y = 1.25

Use a number line to approximate the value of :

Answers

Answer:

9 < [tex]\sqrt{88}[/tex] < 10

Step-by-step explanation:

[tex]\sqrt{88}[/tex] = 9.38083152

Answer:

Third option

Step-by-step explanation:

Notice that √88 is close to √81 wich is 9.

● √88 is greater than √81 so it is greater than 9.

● √88 is less than √100 wich is 10

● so √88 is between 9 and 10

Kara has twenty-four thousand, five hundred sixty stickers in her album.
Raul has 20,000 + 4,000 + 500 + 60 stickers in his collection.

Answers

Answer:

they are both the same thing the first one with kara is in numbers and with raul it is in words

Step-by-step explanation:

hope i helped and have a great day :)

Because ,Kara’s own is in words whilst the addition of Raul’s own is the same as Kara’s own

Find the area of the shape shown below.

Answers

Answer:

31.5

Step-by-step explanation:

We can add the areas together

We have a rectangle and a triangle

The area of the rectangle is

A = lw

   = 7*3

   = 21

The area of the triangle is

A = 1/2 bh

   = 1/2 (7)*3

   = 21/2

   = 10.5

Add them together

A = 21 + 10.5

   =31.5

Answer:

31 1/2

Step-by-step explanation:

You find the area for the triangle on top and the rectangle on the bottom. In order to find the area of the triangle, multiply 7 and 3. Then divide the product which is 21 by 2. So the area of the triangle is 21/2 which could also be written as 10 1/2. Next, you find the area of the rectangle which is 7x3. You get 21. Finally, you add the two areas to get 31 1/2. It could also be written as 63/2 or 31.5

Two boxes can hold the same amount of sand. Box 1 is 1/4 filled and box 2 is 2/3 filled. If the sand in box2 is poured into box 1, what is the fraction of box 1 still not filled a.1/12 b.3/7 c.4/7 d.11/12

Answers

Answer:

d.11/12

Step-by-step explanation:

1/4x3=3/12

2/3x4=8/12

3/12+8/12=11/12

The answer should be D hope I helped and good luck

Sam weighed his dog. He rounded the weight to the nearest tenth of a pound to get 18.6 pounds. Which could have been the actual weight of Sam's dog?

Answers

Answer:

18.55 <=  wt < 18.65

In other words, the dog could weigh anywhere from 18.55   up to , but not including  18.65  lbs

Step-by-step explanation:

Answer:

every thing that is 18.55 and after it until 18.64

Step-by-step explanation:

so that will be 18.55,18.56,18.57,18.58,18.59,18.6,18.61,18.62,18.63,18.64

those are all numbers that could be sams weight

HELP HELP HELP HELP HELP HELP!!! What symbol is needed between –2 ? |–3| to make a true statement?

Answers

Answer:

[tex]\boxed{<}[/tex]

Step-by-step explanation:

[tex]-2 \ ? \ |-3|[/tex]

[tex]\sf Solve \ absolute \ value.[/tex]

[tex]|-3|=3[/tex]

[tex]-2 < 3[/tex]

[tex]\sf -2 \ is \ less \ than \ 3.[/tex]

Answer:

<

Step-by-step explanation:

|-3| = 3

-2 < 3

does the following table shows a proportional relationship between the variables g & h​

Answers

*the table being referred to is attached below

Answer:

The table does not show a proportional relationship between variable g and h.

Step-by-step explanation:

For a proportional relationship to exist between two variables, there must be a constant, of which serves like a unit rate, when comparing two variables.

Thus, in the table attached below, there is no obvious constant of proportionality between variable g and variable h.

Thus, [tex] \frac{9}{3} [/tex] ≠ [tex] \frac{36}{6} [/tex] ≠ [tex] \frac{81}{9} [/tex]

Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. He was at sea level after 30 minutes of driving. Graph the relationship between Amir's altitude relative to sea level (in meters) and time (in minutes).

Answers

Answer:

Graph these two points: (0, 360), (30, 0)

Step-by-step explanation:

Since Amir drove for 30 minutes at a rate of 12 meters, that means that he started at an elevation of 360 feet. The easiest way to graph this, is to place one dot at (0, 360), and at (30, 0).

The straight line joining the points (0, 360) and (30, 0) will be the graph.

What is the equation of a straight line? What do you mean by domain and range of a linear function?

The general equation of a straight line is -

y = mx + c

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

(y - y₁) = m(x - x₁)                              {Point - slope form}

(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)     {Two point - slope form}

x/a + y/b = 1                                       {intercept form}

x cos(β) + y sin(β) = L                         {Normal form}

For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.

We have Amir who drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. He was at sea level after 30 minutes of driving.

We can write the equation of graph as -

y = - 12t + 360

At t = 0 -

y = 0 + 360

y = 360

and

at t = 30 minutes -

y = - 12 x 30 + 360

y = - 360 + 360

y = 0

The straight line joining the points (0, 360) and (30, 0) will be the graph.

Therefore, the straight line joining the points (0, 360) and (30, 0) will be the graph.

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Use addition to solve the linear system of equations. 2x + y = 5 3x + 2y = 4 (6,7) (-6,-7) (6,-7) (-7,6)

Answers

Answer:

Solving 5x + y = 5 and - 3x + 2y = 6 gives (4/13,45/13) Similarly solve other combinations by observing graph to get other coordinates. From the figure we have obtained coordinates of corners as:

Step-by-step explanation:

The Solution for the linear equation is ( 6, -7)

What is Linear Equation?

First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation.

Given:

2x + y = 5.......................(1)

and, 3x + 2y = 4....................(2)

Multiply the equation (1) by 2 we get

4x + 2y = 10 ....................(3)

Solving Equation (2) and (3), we get

  3x  +  2y  = 4      

  4x  +  2y  = 10

-         -           -

_____________

    -x = -6

      x= 6

and, y= 5- 2x = 5-2(6) = -7

Hence, the solution is (6, -7)

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The distribution of city championship wins shared by 3 HS girls basketball teams in Clayton, MO is as follows: Rockefeller HS 12, Clayton West 20, Clayton South 7. Rounded to the nearest 10%, approximately what percentage of the total wins does each team have?

Answers

Answer:

Rockefeller HS = 31%

Clayton West = 51%

Clayton South = 18%

Step-by-step explanation:

Given the following:

Championship wins shared by 3 basketball teams :

Rockefeller HS = 12

Clayton West = 20

Clayton South = 7

Percentage of total wins each team has :

Total number of wins = (12 + 20 + 7) = 39 wins

Percentage wins :

[(Number of wins per team) / total number of wins)] × 100

Rockefeller HS:

(12 / 39) * 100 = 30.769% = 31%

Clayton West :

(20/39) * 100 = 51.28% = 51%

Clayton South:

(7/39) * 100 = 17.948% = 18%

Iy
What is the domain of the function f(x) = 3|x + 4[ + 1?
ca
4+
3
-2-
1+
O all real numbers
O all real numbers less than or equal to -4
O all real numbers greater than or equal to 1
O all real numbers greater than or equal to -4
-7-5-5
3-2-11
5.6
X
2.
2Y
16

Answers

Answer:

  all real numbers

Step-by-step explanation:

The function f(x) = 3|x +4| +1 is defined for all values of x. Its domain is all real numbers.

The Answer is all the real numbers

What is the solution to -5 + z = -12 A. z = -17 B. z = -7 C. z = 7 D. z = 17

Answers

Answer: -7

Step-by-step explanation:

Your answer is B. Z= -7

DONT ANSWER!! am i right? 20 points!

Answers

Answer:

yes

Step-by-step explanation:

Step-by-step explanation:

Hi, there!!!

It's so simple,

so, let's simply work with it;

Here, the given equation is;

4d-4 = 5d-8

so, let's take "4d" to right side and -8 to left side. we get,

-4+8 = 5d-4d

or, 4 = d

Therefore, the value of d is 4.

{here, we simply simplified to get answer}

YOU ARE ABSOLUTELY RIGHT...

Hope it helps....

if all the possible values of x are indicated by the shaded part of the number line above, which number line best shows all possible values of 1/x? (the shaded part in the number line is 0.5 to 1.5, the whole number line segment is from 0 to 3)

Answers

Answer:

can i see a picture of the number line?

Step-by-step explanation:

Do you have a picture of the number line?

5. A recent school survey found that 8 out of 10 students plan to go to college after graduating high school. At
that rate, how many of the 2540 students at the local high school plan to go to college?
318 students
2032 students
2000 students
3175 students

Answers

Answer:2032

Step-by-step explanation:

Since 80% of the students plan to go to college, 80% of 2540 is 2032. 2540x0.8

2082

because

2540/10 x 8 =

help me plz I really need this thanks I will give a lot of points

Answers

Answer:

see the picture below

Step-by-step explanation:

There is 19, 13, 8, 4, 7, 14, 7, 9.

There is 1 number between 0 and 5.

and there's 4 on between 6 to 10.

and so far.

Step-by-step explanation:

Taller bars show that more data falls in that range.

19, 13, 8, 4, 7, 14, 7, 9 stay in order = 1,2,3,4,5,6,7,8

Add 2 more months to make 8 months

Then go vertical if using this histogram so that numbers of feathers above are vertical shaped bars.  |--------------| stacked on top of each other.

Or///

Copy the diagram and swap the names ie) months so they go at the bottom and feathers go along the side axis.


Easy question
I need the answers only for (d) and (e) parts.
plz help
will give the brainliest
Need explanation.
Please answer correctly.​

Answers

Answer:

d)33

e)80

Step-by-step explanation:

I'm sorry I don't really know how to explain this.

If for [tex] x[/tex] cumulative frequency the marks are $y$ (as given on the graph), we have $x$ students with marks equal to or less than $y$

d)

Total students are $140$. Hence three-fifths of that is $140\times \frac{3}{5}=84$. Find the marks at $84$ in the graph for the passing marks.

e)

From the graph we have $60$ students having less than or equal to $30$ marks. Total students are $140$.

Subtracting, $140-60=80$ we get the numbee of students achieving more than 30 marks.

Which of the following statements is true for a function with equation Ax) = 5(3)*?
The graph has y-intercept (0,5) and increases with a constant ratio of 3.
The graph has y-intercept (0, 3) and decreases with a constant ratio of 3.
The graph has y-intercept (0, 3) and increases with a constant ratio of 5.
The graph has y-intercept (0,5) and decreases with a constant ratio of 3.

Answers

Answer:

Hey there!

The graph has a y-intercept of (0,5), and increases with a common ratio of 5. (For example, it increases from 3, 15, 75, and the common ratio is 5.  

Hope this helps :)

don’t have the answer but you have it already:)

The function f is defined by f(x) = (x + 3)(x + 1).
The graph of f in the xy-plane is a parabola. Which
of the following intervals contains the x-coordinate
of the vertex of the graph of f?

Answers

Answer:

Below in bold.

Step-by-step explanation:

The  zeroes ( = x-intercepts) are x = -3 and x = -1.

So the x -coordinate of the vertex is between x = -3 and x = -1.

The actual x-coordinate is halfway between these value: at x = -2.

Answer:

x = -3 or x = -1

Step-by-step explanation:

f(x) = (x + 3)(x + 1)

⇒ x = -3 or x = -1

Create diagrams to represent the possible cases for common tangents between two circles. Your diagram can be created using multimedia sources or drawn by hand. They should not be copied and pasted from a website. Explain why your diagrams satisfy the given criteria. One Common Tangent (10 points) Diagram: Justification:

Answers

Answer:

draw 2 lines and draw 2 circles in the lines with the edge touching the line

Step-by-step explanation:

In between two circles, there might be 0, 1, 2, 3, and 4 tangents are there.

What is the tangent of a circle?

"A tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior.

1. When one circle is in between another and one circle does not touch the other one, then tangent is not possible.

2. When one circle is in between another and one circle touches the other one at a point inside the circle, then only one tangent is possible.

3. When one circle intersects the other one, then two tangents are possible.

4. When one circle touches the other one at a point outside, then three tangents are possible.

5. When one circle neither intersects the other one nor inside the other one, then four tangents are possible.

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Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solution set of this problem?
(16, positive infinity)
(Negative 16, positive infinity)
(Negative infinity, 16)
(Negative infinity, Negative 16)

Answers

Answer:

{16, +infinity}

Step-by-step explanation:

Represent the number with n

Required

Find the solution set

From the question, we have that;

4½n - 9½ > 62.5

Convert all numbers to decimal

4.5n - 9.5 > 62.5

Add 9.5 to both sides

4.5n - 9.5 + 9.5 > 62.5 + 9.5

4.5n > 72

Multiply both sides by 2

2(4.5n) > 72 * 2

9n > 144

Multiply both sides by ⅑

⅑ * 9n > 144 * ⅑

n > 16

This implies that n ranges to infinity from positive 16;

Hence, the correct answer is {16, +infinity}

16, + infinity . Multiply sides by 1/9 n rages to infinity from 16.

Solve 2x^2+12=x−3 help

Answers

Answer:

x = 1 ±[tex]\sqrt{119i}[/tex]/ 4

Step-by-step explanation:

[tex]2x^{2} -x +15[/tex] = 0

Use the quadratic formula:

x = 1 ±[tex]\sqrt{119i}[/tex]/ 4

I hope this helps...

And plz mark me brainliest!!1

The answer is 4 help

help me with these thanks

Answers

This is the answer to your question
Answer: I do not know

Explanation:

what is (7*7*7*7*7*7) * (7*7) in exponential form? ​

Answers

Answer:

7^8

Step-by-step explanation:

Answer:7^8

Step-by-step explanation:

An executive drove from his home at an average speed of 35 mph to an airport where a helicopter was waiting. The executive then boarded the helicopter and flew to the corporate offices at an average speed of 78 mph. The entire distance from his home to the office was 169.5 if the executive spent the same amount of time in the car as he did the helicopter how long did it take the executive to get to work

Answers

Answer:

3 hours

Step-by-step explanation:

Speed is the ratio of distance traveled to time taken, it is given as:

Speed = distance / time

An executive drove from his home at an average speed of 35 mph to an airport where a helicopter was waiting. He then took the helicopter and flew to the corporate offices at an average speed of 78 mph. Given that the executive spent the same amount of time in the car as he did the helicopter how long did it take the executive to get to work.

Let the amount of time the executive spent in the car be t hours, therefore the amount of time spent in the helicopter = t hours.

For car:

Speed = distance / time

35 = distance ([tex]d_1[/tex]) / t

[tex]d_1=35t[/tex]

For helicopter:

Speed = distance / time

78 = distance ([tex]d_2[/tex]) / t

[tex]d_2=78t[/tex]

The total distance traveled = 169.5 miles

[tex]d_1+d_2=169.5\\35t+78t=169.5\\113t=169.5\\t=169.5/113\\t=1.5\ hours[/tex]

The time taken for the executive to get to work = time spent on car + time spent on helicopter = 1.5 + 1.5 = 3 hours

3 hours let me know if it’s right.

(08.06 MC)
Use the graph to approximate the ordered pair where the exponential function begins to exceed the quadratic function.
ty
15
18
t
16
14
f(x)
Jestion
Question 1 (Answered)
0

Answers

Answer:

  (3.5, 17)

Step-by-step explanation:

It would be nice to see the whole graph, so we can see where the functions cross.

Without that information, we can still eliminate unreasonable choices.

A) the quadratic at y=3.5 is well above the exponential

B) the most likely choice (3.5, 17)

C) at x=-8, the quadratic is above the exponential

D) neither graph goes anywhere near y = -8

The answer is 3,15,19

Select the correct answer. The edges of a cube are 5 centimeters each and the diagonal of a face is approximately 7 centimeters. What is the approximate area of the cross section passing through the diagonals of opposite faces of this cube? A. 12 square centimeters B. 25 square centimeters C. 35 square centimeters D. 49 square centimeters Reset Next

Answers

C : 35

---------------------

c35 ...........................
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