Drag and drop the responses in to the boxes to correctly complete the statement
Proving the converse of the Pythagorean theorem means that if the ———- of the squares of the length of the ——- sides of the triangle equals the square of the length of the ——- side then the triangle is a right triangle
Word choice sum , longest, similar,shorter product square congruent

Answers

Answer 1

Answer:

Step-by-step explanation:

sqrt(169) = ±13

13*13 = 169

(-13)*(-13) = 169

Proving the converse of the Pythagorean theorem means proving that if the sum of the squares of the lengths of the shorter sides of a triangle equals the square of the length of the longest side, then the triangle is a right triangle

a^2 + b^2 = c^2

This is the Pythagorean theorem

a and b are the shorter sides and c is the longer side


Related Questions

help plz. question is in photo.

Answers

Answer:

A.) [tex]10\sqrt{5}[/tex]

Step-by-step explanation:

I'll explain rn hold up

Answer:

A.) [tex]10\sqrt{5}[/tex]

Step-by-step explanation:

Fist simplify [tex]40\sqrt{40}[/tex] :

[tex]40\sqrt{40}\\\\40\sqrt{4}\sqrt{10}\\\\40*2\sqrt{10}\\\\80\sqrt{10}[/tex]

Now simplify [tex]4\sqrt{8}[/tex] :

[tex]4\sqrt{8}\\\\4\sqrt{4}\sqrt{2} \\\\4*2\sqrt{2}\\\\8\sqrt{2}[/tex]

Insert both into expression:

[tex]\frac{80\sqrt{10}}{8\sqrt{2}}[/tex]

Simplify:

[tex]\frac{10\sqrt{10}}{\sqrt{2}}[/tex]

Rationalize:

[tex]\frac{\sqrt{2}}{\sqrt{2}}*\frac{10\sqrt{10}}{\sqrt{2}}\\\\\frac{10\sqrt{20}}{\sqrt{4}}\\\\\frac{10\sqrt{20} }{2}[/tex]

Simplify:

[tex]5\sqrt{20}[/tex]

Convert to simplest radical form:

[tex]5\sqrt{4*5} \\\\5\sqrt{4}\sqrt{5}\\\\5*2\sqrt{5}\\\\10\sqrt{5}[/tex]

:Done

Suppose (12, 8) and (4, 6) are the endpoints of a diameter of a circle. Which is an equation of the circle?

Answers

Answer:

[tex](x-8)^2 + (y-7)^2 - 17 = 0[/tex]

Step-by-step explanation:

The formula for the equation of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

where (h,k) is the center and r is the radius of the circle.

To first solve solve this, use the endpoints of the diameter to solve for the center of the circle using the midpoint formula, which is known as:

[tex]\frac{(x_1+x_2)}{2},\frac{(y_1+y_2)\ }{2}[/tex]

The points given are (12,8) and (4,6), so plug in the coordinates into the formula.

Center = (1/2)(12+4),(1/2)(8+6)

            = (8,7)

Now, to find the radius, we can use the distance formula and use the center (8,7) and one of the endpoints, (12,8). The distance formula is known as:

[tex]\sqrt{(x_{1} -x_{2})^2 +(y_{1} -y_{2})^2 }[/tex]

Radius = √(x₂- x₁)² + (y₂-y₁)²

            = √(12- 8)² + (8-7)²

            = √(4² + 1²) = √(16+ 1) = √17

            = r² = 17

Now that the radius and the center are known, the equation of the circle can be written as:

[tex](x-8)^2 + (y-7)^2 - 17 = 0[/tex]

What is the area of a circle with a radius of 6 inches?

Answers

Answer:

113.04 inches

use the formula for the area a circle

[tex]A=\pi a^{2}[/tex]

:

What if the value of x?

Answers

Answer:

x = 5

Step-by-step explanation:

This is a right triangle with hypotenuse x

We can use the Pythagorean theorem

a^2+b^2 = c^2

3^2+4^2 = x^2

9+16= x^2

25=x^2

Take the square root of each side

sqrt(25) = sqrt(x^2)

5 = x

Simplify
[tex](5 \frac{1}{6)6} [/tex]

Answers

Answer:

simplify the expression

exact form :

5/36

decimal form :

0.138

Find the volume of the following cone. Use 3.14 for π.

Question 2 options:



9847.04 cubic meters


39388.16 cubic meters


10257.33 cubic meters


41029.33 cubic meters

Answers

Answer:

A. 9847.04 cubic meters

Step-by-step explanation:

Answer:

B; 39388.16 cubic meters

Step-by-step explanation:

I think the following information will make things clearer:

The formula for finding the volume of a cone is V = πr²h/3:

We can substitute our lengths to find out the volume.

[tex]28^{2} = 784\\48 \: \div \: 3 = 16\\16\: \cdot \: 784 \: \cdot \: 3.14\\= 39,388.16[/tex]

Thusly, the volume of the cone is [tex]\boxed{39,388.16}[/tex].

Hope this helps!! ((:

If each quadrilateral below is a rectangle find the missing measure in #5

Answers

Answer:

What do you mean by #5?

Step-by-step explanation:

What is the value of y in this triangle?
980
А.
124°
В. 98°
Ос. 56°
OD. 36°

Answers

The answer is D (36 degree)

Answer:

D.36

Step-by-step explanation:

you have to subtract them to get your answer.

Rodney spun this five section spinner 80 times. The results of his spins are listed in the table below.



Identify the sample space using the first letter of the color in alphabetical order

{ , , , , }.



What is the theoretical probability for landing on blue?
%



What is the experimental probability for landing on yellow or white?
%

Answers

Answer:

Sample space: {B, G, R, W, Y}

20%

40%

Step-by-step explanation:

Theoretical probability of blue:

1/5 × 100 = 20%

Experimental probability (based on observation) of yellow or white:

(20+12)/80 × 100

32/80 × 100

40%

Toilet paper has been hard to find lately. You go to the store and are surprised to find that they have some toilet paper in stock. Now you have a different problem. There are two brands of toilet paper you can choose from, Roll A and Roll B. Which roll should you buy in order to get the most toilet paper? Round your answer to the nearest whole number.

Total Volume = (3.14) (2.5) ^2 (4.5) =


Subtract the middle rim.

V = (3.14 ) ( .75 ) ( 4.5 )

TOTAL VOLUME - MIDDLE PART VOLUME =

Answers

Answer:

77

Step-by-step explanation:

Total Volume = 88

Middle Part Volume = 11

Total - Middle = 77

Total = 77 I believe

The difference when 7 less than a number is subtracted from twice the number is 12. What is the number?

Answers

Answer-

The number is 5

Explanation-

let the number be x
according to the condition
2x-(x-7)= 12
2x-x+7=12
x+7=12

x+7-7=12-7
x=5
therefore the required number is 5

Answer:

5

Step-by-step explanation:

2x - ( x - 7 ) = x + 7

x + 7 = 12

x = 12- 7 = 5

the number is 5

A parallelogram has an 8 inch base if the parallelogram has an area of 64 square inches, what is the height of the parallelogram?

Answers

Answer:

8 in

Step-by-step explanation:

The way you get the area of a parellelogram is the same as the way of a rectangle or square.

Answer: 8 in

Step-by-step explanation:

Height = area / base

= 64/8

= 8 inches

How many servings of
cups are in 33 cups of ice cream?

Answers

Answer:

I am 99% sure its 33 servings

Step-by-step explanation:

because the question says that "how many servings of cups are in 33 cups".

(hopefully im right) and HOPEFULLY THIS HELPS. : )

Twice Brittany’s age is less than the age of Abraham Lincoln when he died. President Lincoln was 56 years old at the time of his death. Write an inequality to represent Brittany’s age, b. Brittany’s brother, Nate, is two years younger than Brittany. Write an equation for Nate’s age, n, in terms of Brittany’s age, b. Rewrite the expression from Part B to get the variable b alone on one side of the equation. (This is also called isolating b.) Substitute the value of b from Part C into the inequality you found in Part A. Solve the inequalities from parts A and D for the variables b and n, respectively. Could Brittany be 27 years old and Nate 26? Why or why not?

Answers

Answer:

2b < 56

n = b - 2

b = n + 2

n < 27

b < 28

No, because the difference between Brittany and Nate's age is 2years

Step-by-step explanation:

A.)

Twice Brittany’s age is less than the age of Abraham Lincoln when he died. President Lincoln was 56 years old at the time of his death

Let Brittany's age = b

Twice Brittany's age = 2 × b = 2b

Lincoln's age = 56

2b < 56

B.)

Nate's age = n

Nate is 2 years younger than brittany who is aged 'b'

n = b - 2

C.) b = n + 2

D.)

If 2b < 56 and b = n + 2

2(n + 2) < 56

2n + 2 < 56

2n < 56 - 2

2n < 54 ; n < 27

2b < 56

b < 56/2

b < 28

No, because the difference between Brittany and Nate's age is 2years

What is the volume of the rectangular pyramid shown below?
9 in.
8 in.
7
in.​

Answers

Answer:

Step-by-step explanation:

To calculate the volume of a pyramid with a rectangular base, find the length and width of the base, then multiple those numbers together to determine the area of the base. Next, multiply the area of the base by the height of the pyramid. Take that result and divide it by 3 to calculate the pyramid's volume!

I cant do this until I know What number is what.

Which is length?

Which is height?

and which is width?

Answer:

Step-by-step explanation:b

Solve this brain teaser, please!!!

Answers

Answer:

0 in the end they all burn out

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

Marco is going to a local fair. He spends $5 on admission to the fair. He wants to go on rides that cost $0.75 per ride. Write an inequality and solve it to find the maximum number of times that Marco can go on the rise if he wants to spend at most $35

Answers

35>(with line underneath) .75x +5

Solve for s.

9s = –10 + 10s

s = __

Answers

Answer:

10

Step-by-step explanation:

9s=-10+10s

Add 10 on both sides,

9s+10=-10+10s+1

9s+10=10s

Subtract 9s on both sides,

9s+10-9s=10s-9s

10=s

Therefore,s=10

What is the unit rate of 405 miles in 8 hours?

Answers

50.625 miles per hour

Answer:

50.625 miles per hour (mph)

Step-by-step explanation:

Step 1: Divide

405/8

= 50.625

mark as brainliest please, I need a few more :)

What type of function is represented?

Answers

Answer:

b

Step-by-step explanation:

ITS B NOT C ITS B ITS B ITS B.

Express your answer in scientific notation. 1.4 x 10^9 - 8.6 x 10^8

Answers

Answer: 5.4 x 10^8 on Khan Academy

The scientific notation of the expression is,

⇒ 5.4 × 10⁸

What is Scientific notation?

Scientific notation is a way of writing a very large or very small numbers. For example; 230,000,000 can be written in scientific notation as 2.3 x 10⁸.

Given that;

The expression is,

⇒ 1.4 x 10⁹ - 8.6 x 10⁸

Now, Simplify the expression as;

⇒ 1.4 x 10⁹ - 8.6 x 10⁸

⇒ 14 x 10⁸ - 8.6 x 10⁸

⇒ (14 - 8.6) × 10⁸

⇒ 5.4 × 10⁸

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What is the value of b? -8/5b = 8

Answers

Answer:

-0.2 or -2/10

Step-by-step explanation:

hope this helps

in your class 6 students do not receive weekly allowance. 16 students receive $4 3 students receive $10 and 6 students receive $5. What is the mean weekly allowance?

Answers

Answer:

4

Step-by-step explanation:

help me with this please I don't exactly get it

Answers

Answer:

P = 40.56 in (ANS)

Step-by-step explanation:

radius = 8/2 = 4 in

semi-circle perimeter = pi * R = 3.14 * 4 = 12.56 in

figure perimeter = 12.56 + 10 + 8 + 10 = 40.56 in (ANS)

Solve by completing the square:
x2 + 3x – 9 = 0

Answers

Answer:

Step-by-step explanation:

x = 9/5

The solution of the equation [tex]x^2 + 3x - 9 = 0[/tex] by completing the square would be [tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex].

Used the concept of a quadratic equation that states,

An algebraic equation with the second degree of the variable is called a Quadratic equation.

Given that the equation is,

[tex]x^2 + 3x - 9 = 0[/tex]

Now completing the square as

[tex]x^2 + 3x - 9 = 0[/tex]

Add and subtract by 9/4,

[tex]x^2 + 3x + \dfrac{9}{4} - \dfrac{9}{4} - 9 = 0[/tex]

[tex]x^2 + 3x + ( \dfrac{3}{2})^2 - \dfrac{9}{4} - 9 = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{9}{4}+ 9) = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{45}{4}) = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 = ( \dfrac{45}{4})[/tex]

Taking square root on both sides,

[tex](x + \dfrac{3}{2} ) = \pm ( \dfrac{\sqrt{45}}{2})[/tex]

Therefore, the solution of an equation is,

[tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex]

To learn more about the quadratic equation visit:

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Any help someone...
(solve triangles using the law of sines)

Answers

Answer:

I can't help

Step-by-step explanation:

I can't help

Provide the reflected ordered pair for each of the given ordered pairs. Reflect the ordered pair ( − 4 , 5 ) across the y-axis Reflect the ordered pair ( 0 , 3 ) across the x-axis

Answers

(-4, 5) changed to (4, 5)
(0, 3) changed to (0, -3)

49 increased by twice a number m

Answers

Answer:

The third one I think

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

First -> twice m is -> 2m

Then

49 increased so -> 49+2m

Help me please help me helpm

Answers

Answer:

[tex]g(x) = {(x + 9)}^{2} [/tex]

What is the value of this expression when c= -4 and d = 10?
1/4(c3+d2)

Answers

The value of the expression using BODMAS rule is 9.

What is simplification?

To simplify the arithmetic expression involving more operators, we need to  use BODMAS rule. The full form of BODMAS is Brackets (Parts of a calculation inside the bracket always come first), Precedence of brackets are : [{(bar)}], Orders (powers and square roots), Division, Multiplication, Addition, Subtraction.

For the given situation,

The values are c = -4, d = 10

The expression is 1/4(c^3+d^2)

Substitute the above values,

⇒ [tex]\frac{1}{4}(c^{3}+d^{2} )[/tex]

⇒ [tex]\frac{1}{4} (-4^{3} +10^{2} )[/tex]

⇒ [tex]\frac{1}{4}(-64+100)[/tex]

⇒ [tex]\frac{1}{4}(36)[/tex]

⇒ [tex]9[/tex]

Hence we can conclude that the value of the expression using BODMAS rule is 9.

Learn more about simplification here

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Answer: 9

Step-by-step explanation:no clue how I got it but the test marked it correct

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