Workers at the Pythagorean Construction Company are building a new house. They need to make sure that proper right triangles are formed to ensure that a safe house is built. What statement should the builders use to ensure that right triangles are formed? If the sum of the two shorter sides equals the longest side, then the triangle is a right triangle. If the sum of the squares of the two longer sides equals the square of the shortest side, then the triangle is a right triangle. If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle. If the difference of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.

Answers

Answer 1

Answer: C.) If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.

Step-by-step explanation: i hope this helps! :)

Answer 2

The correct statement is (C)

What is Pythagoras theorem?

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The Pythagoras theorem equation is expressed as, c2 = a2 + b2, where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs. Hence, any triangle with one angle equal to 90 degrees produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.

example:

The hypotenuse of a right-angled triangle is 16 units and one of the sides of the triangle is 8 units. Find the measure of the third side using the Pythagoras theorem formula.

Given : Hypotenuse = 16 units

Let us consider the given side of a triangle as the perpendicular height = 8 units

On substituting the given dimensions to the Pythagoras theorem formula

Hypotenuse2 = Base2 + Height2

162 = B2 + 82

B2 = 256 - 64

B = √192 = 13.856 units

So, Using the definition of Pythagoras theorem

the statement would be

If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.

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Related Questions

Surface area formula
of a parallelogram prism

Answers

SA=bh (surface area for parallelogram prism)

Pls help mark barinlist

Answers

Answer:

okay sure Barnyst comingup

Step-by-step explanation:

What is the unit rate for the ratio 4/7: 8/21?

Answers

Answer:

The unit rate is 1.5

Step-by-step explanation:

Given

[tex]Ratio = 4/7 : 8/21[/tex]

Required

Determine the unit rate

To do this, we need to express the ratio as:

[tex]Ratio = m : 1[/tex]

Where m is the unit rate

[tex]Ratio = 4/7 : 8/21[/tex]

Express as fraction

[tex]Ratio = \frac{4/7 }{ 8/21}[/tex]

Solve

[tex]Ratio = \frac{4}{7} * \frac{21}{8}[/tex]

[tex]Ratio = 1.5[/tex]

Express as ratio

[tex]Ratio = 1.5 : 1[/tex]

Hence, the unit rate is 1.5

Which function is decreasing on the same interval as the function graphed here?

Answers

The function that is decreasing on the sale interval as the function graphed in the attached image is " F(x) = -x² + 4x -4.

What does it mean for a function to be decreasing?

When the y-value of a function is decreasing as the x-value goes up, that function is said to be a decreasing function.

That is  when x1 < x2 then f(x1) ≥ f(x2)

What is the Proof of the above?

Let F(x) = 4

Thus

f(4) = -(4)² + 4(4) -4

=  16 + 16 - 4

= 28

Now, let F(x) = 2

Thus

f(2) = -(2)² + 4(2) -4

= 4 + 8 - 4

= 8

Note that X1 = 4 and X2 = 2

Thus  x1 < x2 then f(x1) ≥ f(x2).

Hence Option C is the decreasing function.

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ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]°
AK
170%
B

Answers

Answer:

10 degrees

Step-by-step explanation:

if it's supplementary then the two angles add up to get 180.

180-170=10

My bird is sleeping a lot and she is panting for no reason she is also only closing one eye and is very itchy she also is not active like she always used to be. Does anyone know what is wrong with her and what ("TYPE") of Illness she has?

Answers

I recommend you take her to a vet

Brainliest for correct answer.

Answers

Answer:

a

Step-by-step explanation:

If f(x)= - 4x-4, g(x)= 4x² + 4x + 2, and h(x)= 3x2 – 3, find f(3).
f(3) =
(Simplify your answer.)

Answers

Answer:

[tex]f(3) = -16[/tex]

Step-by-step explanation:

Given

[tex]f(x)= - 4x-4[/tex]

[tex]g(x)= 4x^2 + 4x + 2[/tex]

[tex]h(x)= 3x^2 - 3[/tex]

Required

[tex]f(3)[/tex]

We have:

[tex]f(x)= - 4x-4[/tex]

Substitute [tex]x = 3[/tex]

[tex]f(3) = -4 * 3 - 4[/tex]

[tex]f(3) = -12 - 4[/tex]

[tex]f(3) = -16[/tex]

Hence:

[tex]f(3) = -16[/tex]

What is the probability of choosing a clubs or a numbered card from a deck of cards? Type your answer as a fraction.

Answers

Answer:

13/52

Step-by-step explanation:

Will choose branliest

Answers

option three I’m so sorry if I’m wrong :heart:

A round balloon has a diameter of 7 inches
Which of the following is closest to the number of
cubic inches of air can it hold?
A) 181 in
B) 189 in
C) 196 in
D) 208 in
E) 210 in
None of the above
+3

Answers

Answer:

The right answer is approximately 210.031 cubic inches. (Answer: E)

Step-by-step explanation:

First, we need to convert the diameter ([tex]D[/tex]), in inches, of the round balloon to an entirely decimal mode:

[tex]D = 7\,in + \frac{3}{8}\,in[/tex]

[tex]D = \frac{56 + 3}{8}\,in[/tex]

[tex]D = \frac{59}{8}\,in[/tex]

[tex]D \approx 7.375\,in[/tex]

The volume of the balloon is modelled after the volume function of a sphere ([tex]V[/tex]), in cubic inches:

[tex]V = \frac{\pi}{6}\cdot D^{3}[/tex] (1)

If we know that [tex]D \approx 7.375\,in[/tex], then the volume of the round balloon is:

[tex]V = \frac{\pi}{6}\cdot D^{3}[/tex]

[tex]V = \frac{\pi}{6} \cdot (7.375\,in)^{3}[/tex]

[tex]V \approx 210.031\,in^{3}[/tex]

Hence, the right answer is approximately 210.031 cubic inches.

ANSWER THE QUESTION FOR BRAINLIEST

Answers

The answer is A.
y = -5x results in a straight line

. To buy a car, Mitchell borrowed $17,000 for 3 years at an annual simple interest rate of 9%. If it takes him 3 full years to pay off the loan, how much interest will he will pay for the car? * O $9,045 O $9,009,000 O $ $4590 O $459,000 2. Jaelyn deposits $750 into an account that yields 6.5% simple interest. How much will he in her account in 30 months if she door no 10 points​

Answers

Answer:

45

Step-by-step explanation:

I just took test and got 100%

A right cylinder has a height of 8 inches and a volume of 400 cubic inches.
Which measurement is closest to the radius, in inches, of the cylinder?
A. 4
B. 8
С. 16
D. 50

Answers

Answer:

Step-by-step explanation:

its D because 400 divided by 8 is 50

[tex]\boldsymbol{4}[/tex] is closest to the radius, in inches, of the cylinder.

So, option A. is correct.

Volume of cylinder

Height of a cylinder [tex](h)=8[/tex] inches

Volume of a cylinder[tex]=400[/tex] cubic inches

Let [tex]r[/tex] denotes radius of a cylinder.

Volume of a cylinder [tex]=\pi r^2 h[/tex]

[tex]400=\frac{22}{7}r^2 (8)[/tex]

[tex]r^2=15.9\\r=3.99[/tex]

So, [tex]\boldsymbol{4}[/tex] is closest to the radius, in inches, of the cylinder.

So, option A. is correct.

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Sarah Turned on the soaker hose in her flower bed. The hose releases 192 gallons of water every 4 hours. If she leaves the hose on for 30 minutes how much water will be used?

Answers

Answer:

24 gallons

Step-by-step explanation:

set up a proportion and cross-multiply:

g = # gallons

192/4 = g/0.5*

4g = 96

g = 24

*30 minutes = 0.5 hours

help help please i did not understand

Answers

Answer:

The tree grows 3,14 centimeters per year

Answer: First you have to look at the years and see how much it increase each year. We start by seeing that in 1 year it is 3.14. In two years it will be 6.28. So, the answer each year the tree gets older it is 3.14 that you have to add. Hope it helps.

Step-by-step explanation:

If 25% is 14, what is 100%?

Answers

Answer:

56

Step-by-step explanation:

25% = 14

Therefore,

25%*4 = 14*4

100% = 56

Elsa received a $90 gift card for a coffee store. She used it in buying some coffee that cost $7.54 per pound. After buying the coffee, she had $44.76 left on her card. How many pounds of coffee did she buy?

Answers

Answer:

6 pounds of coffee

Step-by-step explanation:

You take $90-$44.76=$45.24. Then you divide $45.24 by $7.54 then you get 6 pounds of coffee.

Math

A cookie cutter shark is 0.4 meter long, and a thresher
shark is 6 meters long. How many times as long as the
cookie cutter shark is the thresher shark?

Answers

the thresher shark would be 15 times as long as the cookie cutter stark because 6 divided by .4 would equal 15

A triangle has vertices at R(1, 1), S(–2, –4), and T(–3, –3). The triangle is transformed according to the rule R0, 270°. What are the coordinates of S'?

Answers

It’s a virus don’t look at file

A: (–4, 2)

RIP guy above

Jim bought some nice running shoes for $216. The sales
tax is 6.5% and he is paying cash with bills only because
he doesn't have any change. What is the least amount
he should give the cashier?

Answers

Answer:

231 dollars

Step-by-step explanation:

216*1.065(for the tax)=230.4 and since he is only paying bills you would add one more dollar to get 231

brainliest plz

Each one is 6.5 in total 5,000999999

-4x+5>-5 solve the equation is it greater than or less than

Answers

Answer:

x>5/2

Step-by-step explanation:

-4x+5>-5

-4x>-10

4x>10

x>10/4

x>5/2

Rotate rectangle CDEF with C{-4.0). D1-1,-1), E(-3,-7), and F(-6,-6) 90° counterclockwise about the origin. What are the coordinates of ΕΡ JU​

Answers

Please do not click red neck cake links. But I do not know. Be advised to NOT click any links!

In which step does a mistake first occur?
8 + 2 + (3 X 3 -2)
Step 1: 8 +2 + (3 x 1)
Step 2: 8 +2 + 3
Step 3: 4 + 3
Step 4: 7

Answers

Answer:

Step 3 because they didn't add correctly

The area of the triangle below is 25/72 square meters. What is the length of the base?

Answers

Answer:5/6

Step-by-step explanation:

Write an inequality for the sentence below and then solve and check it. The sum of w and nine is less than 18

Answers

Answer:

w < 9

Step-by-step explanation:

w + 9 < 18

To solve this inequality, we MUST get the w by itself

Subtraction Property of Equality  w + 9 - 9 < 18 - 9

Answer w < 9

Find the perimeter of this semi-circle with diameter, d = 52cm.

Answers

Answer:

Perimeter = 133.681 cm

or 52.63 inches.

Step-by-step explanation:

"So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius."

let's use,  πr + 2r

Diameter: 52

Radius: 26 (RAdius is half of the diameter)

πr + 2r (plug in)

pi x 26 + 2(26)

pi x 26 + 52

= 133.681 cm

or

= 52.63

HELP PLEASE!!!!!!!!!!!

Answers

Answer:

x = 4

Step-by-step explanation:

7.5 + 7.5 = 15

[tex]\frac{x}{8}[/tex] = [tex]\frac{7.5}{15}[/tex]

cross multiply

15x = 60

divide

x = 4

or

since the bigger one is 2x smaller

8/2 = 4

which is equivalent to 3/8^1/4? 8^3/4
A.10
B.6
C.5
D.2

Answers

Answer:

B I'm pretty sure..............

o study student engagement, a university surveys 1,390 college freshman and determines that 470 of them participate in a recreational sport. The university would like to estimate the proportion of all college freshman that participate in a recreational sport at a 95% confidence interval. What is the upper bound of the confidence interval built by the university

Answers

Answer:

46

Step-by-step explanation:

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