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

Answer:

The unknown measurement of angle R to the nearest degree is 41°

Step-by-step explanation:

As you can see, we made a diagram form the given information in the problem. We are trying to find the measurement of angle R which is our unknown angle represented by the question mark.

in order to solve this problem, we are going to be using tangent. Tangent uses the opposite side and the adjacent side from the given or from the unknown angle measurement.

So, our equation will look like this.

[tex]tanx=\frac{7.6}{8.6}[/tex]

Since, we do not know the measurement of the unknown angle, then are going to use the inverse of tangent.

[tex]x=\frac{7.6}{8.6}(tan^-^1)[/tex]

Now, we solve. You can use a calculator to do these calculations.

The unknown measurement of the unknown angle to the nearest degree is 41° which is answer choice D.

Answer:

Step-by-step explanation:

"Which ordered pair" implies that there were several answer choices for this problem.  It's important that you share such answer choices.

2x+4y=6x−y reduces to 5y = 8x, and so y = (8/5)x

If we choose x = 2, then y = (8/5)(2) = 16/5 is a solution of the given equation.  There are an infinite number of such solutions.  All lie on the line y = (8/5)x.

Answer:

C

Step-by-step explanation:

Divide 4.5 by 3 = 1.5

1.5 x 3 = 4.5

Answer:

1.5 (c)

Step-by-step explanation:

You have to find the difference:

so you have to divide 4.5 the original and 3 the scaled image to see how much changed.

4.5 / 3 = 1.5  

Answer:

The correct option is;

Left object volume = right object volume

Step-by-step explanation:

The shapes given in the question are two circular cones that have equal base radius and equal height

The formula for the volume, V of a circular cone = 1/3 × Base area × Height

The base area of the two shapes are for the left A = π·r², for the right A = π·r²

The heights are the same, therefore, the volume are;

For the left

[tex]V_{left}[/tex] = 1/3×π·r²×h

For the right

[tex]V_{right}[/tex] = 1/3×π·r²×h

Which shows that

1/3×π·r²×h  = 1/3×π·r²×h and [tex]V_{left}[/tex]  = [tex]V_{right}[/tex], therefore, the volumes are equal and the correct option is left object volume = right object volume.

Answer:

8x-20y

Step-by-step explanation:

Use the distributive property then add or subtract the terms(like terms)

3(2x-4y)-2(4y-x)

6x-12y-8y+2x

6x+2x-12y-8y

8x-20y

Hope this helps ;) ❤❤❤

Answer:

8x-20y

Step-by-step explanation:

3(2x-4y)-2(4y-x)

6x-12y-8y+2x

6x+2x-12y-8y

8x-12y-8y

8x-20y

Answer:

convert them to decimasls

Step-by-step explanation:

convert thhem to decimals to make it easier

Answer:

1/2 2/4 4/8 6/12 9/18

Step-by-step explanation:

Answer:B, C, & F

Step-by-step explanation:

got correct on edge

KM, JK, PK, and MJ are shown on the diagram. Then the correct options are B, C, D, and F.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

A line segment in mathematics has two different points on it that define its boundaries.

All the line segments will be

JK, JM, KM, MP, PK, and KL

The triangle KPM.

And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.

Then the correct options are B, C, D, and F.

More about the coordinate geometry link is given below.

https://brainly.com/question/18269861

#SPJ2

Answer: Ix - 4I ≤ 4

Step-by-step explanation:

You can see a black dot in the zero, and a black dot in the 8.

So those are the extremes of our set and are included in the set of solutions, we have that the set is defined by:

0 ≤ x ≤ 8.

Now we want to construct an absolute value equation such that the set {0 ≤ x ≤ 8} is the set of solutions.

The first step is to find the middle value of that set:

The middle value is equal to half of the difference between the extremes:

m = (8 - 0)/2 = 4.

Now we know the middle point, so we can write the equation:

Ix - mI ≤ m

m = 4

Ix - 4I ≤ 4

That is our inequality.

Where the "equal" part of ≤ is for the values x = 0 and x = 8.

Answer:

B) 30

Step-by-step explanation:

Since ABCD is a parallelogram the diagonals bisect each others in their midpoint.

Wich means that BE = ED

● BE = ED

● (2/3)x = x-10

Substract x from both sides

● (2/3)x -x = x-10 - x

● (2/3) x - x = -10

Multiply x by 3 then ubstracr it from 2x

● (2x-3x)/3 = -10

● -x/3 = -10

Multiply both sides by -3

● (-x/3)×(-3) = -10 ×(-3)

● x = 30

The probability of drawing a yellow chip, replacing it, and choosing a blue chip will be 18/625.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips.

Then the total number of the event will be

Total event = 7 + 9 + 3 + 6

Total event = 25

The probability of getting a yellow chip will be

Favorable event = 3 {yellow chip}

Then the probability will be

P(Y) = 3 / 25

The probability of getting a blue chip will be

Favorable event = 6 {blue chip}

Then the probability will be

P(B) = 6 / 25

Then the probability of drawing a yellow chip, replacing it, and choosing a blue chip will be

P = P(Y) x P(B)

P = (3/25) x (6/25)

P = 18 / 625

The probability of drawing a yellow chip, replacing it, and choosing a blue chip will be 18/625.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

Answer:

3(4)to the 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Copy the diagram using ruler for parallel lines * ensure they (the parallel lines) each have the same distance each point to one another before drawing or adding the transversal line L(3)

The transversal doesn't have to be exact to the diagram but the parallel lines do have to be correct to prove that angle 1 + 5 are identical and fit into each other.

2. They only become corresponding because of being on transversal to add to 180 degree. As you will see when you draw angle 1 on colored paper near the first blue/green circle and match with 5 below in the second blue/green circle.

3. The reason they want tracing paper afterwards of the same shape is so you can use alternatively to cover angle 5 in your book.  

You will see they do cover each other.

Additional

''When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. ''

Should you enter search for the above statement it will show you an interactive tool you can use for regarding maths transversal.

Here you can compare parallel lines like l(1) and l(2) as even if they were not parallel they would still be corresponding angles. As you will see.

Answer:

5:

x = 9  y = 34

x = 2  y = 6

x = -6  y = -26

x = 3  y = 10

x = 4  y = 14

6.

x = 8  y = 19

x = 5  y = 35

x = -2  y = -21

x = 1  y = 3

x = 4  y = 27

1.

x = 2  y = -5

x = 5  y = -2

x = -1  y = -8

x = 7  y = 0

x = 3  y = -4

2.

x = 8  y = 5

x = 2  y = -1

x = -2  y = -5

x = 9  y = 6

x = 1  y = -2

3.

x = 3  y = -1

x = 6  y = 2

x = -7  y = -11

x = 4  y = 0

x = 2  y = -2

4.

x = 6  y = 39

x = 5  y = 32

x = -9  y = -60

x = 1  y = 4

x = 2  y = 11

5.              6.             1.            2.         3.          4.

x  | y      |       x | y        x | y       x | y      x | y      x | y

9 | 11      |       3 | 19      2 | -5     8 | 5     3 | -1     6 | 39

2 | 6      |       5 | 35     5 | -2     2 | -1     6 | 2     5 | 32

-6| -26  |      -2 | -21    -1 | -8     -2 | -5   -7 | -11  -9 | -66

3 | 10    |        1  | 3       7 | 0       9 | 6     4 | 0      1 | 4

4 | 14    |        4 | 27     3 | -4       1 | -2    2 | -2    2 | 11

Hope this helps!

Answer:2-4=

Step-by-step explanation:y-16-(-42)

y-16+16

y-32

y-16-(-22)

y-16+4

y-20

y-16-(02)

y-16

y-16-(42)

y-0

Answer:

The answer is 2-4

Step-by-step explanation:

Answer:

h=7

Step-by-step explanation:

First we need to define the formula for surface area

2(wl+hl+hw)=100

Now we can replace length with x

That makes width .5x and height x+3

2(.5x^2+x^2+3x+.5x^2+1.5x)=100

2(2x^2+4.5x)=100

2x^2+4.5x=50

2x^2+4.5x-50=0

Insert into quadratic equation (a=2x^2, b=4.5, c=-50)

x=4 or -6.25

x can't be negative so x is 4

h=x+3=7

h=7

Answer:

X=5/216

Step-by-step explanation:

Answer:

X=5/216

Step-by-step explanation:

the above photos is the solution

Answer:

see below

Step-by-step explanation:

Video Game

20% off means you pay 80%

80 dollars * 80% =

80 * .80 = 64

Movie ticket

14 original price

Sale price = 11.40

14* p% = 11.40

Divide each side by 14

p% = 11.40/14

p% =81.4285714

You paid 81 3/7%

The discount is 100 -81 3/7%

18 4/7 % discount

Laptop

1000 original price

Sale price = 750

1000 * p% = 750

p% = 750/1000

p% =75%

You paid 75%

The discount is 100 -75%

25 % discount

Answer:

Below

Step-by-step explanation:

First item)

The original price of the video games is 80$ wich is 100%

This item has a 20% discount.

Let x be the value of the dicount in dollars.

● 80 => 100

● x => 20

● x =(80×20)/100 = 16$

So the amount of the discount is 16$.

● 80-16 = 64 $

So the amount that was paid is 64$

■■■■■■■■■■■■■■■■■■■■■■■■■■

Second item):

The price that was paid is 11.2$out of 14$ initially.

Let x be the percentage of 11.2

● 14$ => 100%

● 11.2$ => x

● x = (11.2×100)/14 = 80%

● 100-80 = 20%

So the percentage of discount was 20%

■■■■■■■■■■■■■■■■■■■■■■■■

Third item):

The laptop was boughr for 750$ out of 1000$ initially

No need to do calculations here.

Notice that: 750/1000 = 3/4 = 0.75 = 75%

● 1000-750 = 250

So 250 is the amount discounted wich is 25% of 1000$

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▹ Answer

X = 24

m = 13/7 or about 1.86

▹ Step-by-Step Explanation

X/3 + 7 = 15

X + 3 * 7/3 = 15

X + 21/3 = 15

X = 24

3.5m - 1.5 = 5

35/10m - 15/10 = 5

5 * 7/2 * 5m - 3 * 5/2 * 5 = 5

m = 13/7 or about 1.86

Hope this helps!

CloutAnswers ❁

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Answer:

RS = 5

Step-by-step explanation:

To find x use the equation 2x - 6 + 1 + x - 4 = 18

When you solve this x should equal 9

To find RS plug in x in (x-4)

9 - 4 (5)

Answer:

5 (Answer A)

Step-by-step explanation:

From the diagram we know that 2x - 6 + 1 + x - 4  must equal  18.

Then 2x - 6 + 1 + x - 4 = 18.  Combining like terms, we get:

3x - 5 - 4 = 18, or 3x - 9 = 18

Then 3x = 27, and so x must be 9.

Then the length of RS is 9 - 4 = 5 (Answer A)

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▹ Answer

$49,980

▹ Step-by-Step Explanation

[tex]\frac{20}{100} * $249,900 \\\\= $49,980[/tex]

Hope this helps!

CloutAnswers ❁

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Answer:

9:30 am

Step-by-step explanation:

factors of 10;  5 and 2

factors of 15; 5 and 3

factors of 25; 5 and 5

calculate lcm so, 5x5x3x2 =150

150 mins = 2hr 30mins

7am+2hr30min = 9:30 am

Answer:

48 ÷ 65

Step-by-step explanation:

hope it helps you

Answer:

[tex]\frac{48}{65}[/tex]

Step-by-step explanation:

Step 1: Find LCM for denominators

13(5) = 65

So we need to convert our fractions to add them

Step 2: Convert [tex]\frac{7}{13}[/tex] by multiplying both top-bottom by 5

[tex]\frac{7}{13} (\frac{5}{5} ) = \frac{35}{65}[/tex]

Step 3: Convert [tex]\frac{1}{5}[/tex] by multiplying both top-bottom by 13

[tex]\frac{1}{5} (\frac{13}{13} ) = \frac{13}{65}[/tex]

Step 4: Add the converted fractions

[tex]\frac{13}{65} +\frac{35}{65} =\frac{48}{65}[/tex]

And we have our answer!

Answer:

can you send a picture please? i have no clue how to answer this. it seems confusing with the numbers

Answer:

8

Step-by-step explanation:

Since this isosceles triangle has been broken down into two right triangles, and we already know that two sides are the exact same (note that there are 2 x's) that means BD and BC are going to be the exact same length. Since BD is 4, that means BC will be 4, and that means

[tex]4+4=8[/tex]

Hope this helped!

Answer:

19.5

Step-by-step explanation:

The Volume of a cone is h/3(r²)[tex]\pi[/tex]

That means, for the larger cone,

66=h/3(3²)([tex]\pi[/tex])

66=h/3*9[tex]\pi[/tex]

66/9[tex]\pi[/tex]*3=h

h=7, so the height of the larger cone is seven

Since the cones are similar, it has to have the same ratio. 7/3 of 2 is 4.6666.  So the height of the smaller cone is 4.66666.

Putting that in the formula,

V=(4.66666/3)(2²)[tex]\pi[/tex]

V=1.555555*4*[tex]\pi[/tex]

V=19.547

Answer:

19.6

Step-by-step explanation:

I have acellus too, and honestly, I typed in 19.5, which didn't work, so I typed in 19.6 and it worked. Hope this helps!

Answer:

248

Step-by-step explanation:

=================================================

Explanation:

Since the x coordinates are the same, we can subtract the y coordinates to get

1.5 - (-3.5) = 1.5 + 3.5 = 5

Note how subtracting a negative is the same as adding.

-------

We can subtract in the other order

-3.5 - 1.5 = -5

but we need to make this result positive. A negative distance is not allowed. Absolute value is applied to make the result positive

|-5| = 5

Answer:

The answer is -10/77 .

Step-by-step explanation:

In order to find the value of xy/z, you have to substitute the value of x, y and z into the expression :

[tex] \frac{xy}{z} = xy \div z[/tex]

[tex]( \frac{2}{3} \times \frac{5}{7}) \div - \frac{11}{3} [/tex]

[tex] = \frac{10}{21} \times - \frac{3}{11} [/tex]

[tex] = \frac{10}{7} \times - \frac{1}{11} [/tex]

[tex] = - \frac{10}{77} [/tex]

Answer:

1.C (4,90) 2.C.Time

Step-by-step explanation:

the answer to number 1 is C because the x coordinate is 4 and the y coordinate is 90. The answer to 2 is c because the independent variable represents x, which is time in this case because it is labeled on the coordinate plane.