Figure A
Figure B
Which of the triangles in the two figures above is a right triangle? Explain your choice using
the Pythagorean Theorem to prove it. Note: the figures are not drawn to seale.

Figure AFigure BWhich Of The Triangles In The Two Figures Above Is A Right Triangle? Explain Your Choice

Answers

Answer 1
Answer:

Figure B

Step-by-step explanation:

The Pythagorean Theorem is [tex]a^2 + b^2 = c^2[/tex], where c is the longest side of the triangle (the hypotenuse).

To find the side length of each square, you have to square root the area of each square. This means that Figure A has side lengths of 3, 6 and 8 units. Figure B has side lengths of 5, 12 and 13 units.

In Figure A, if the triangle is right-angled, the equation [tex]3^2 + 6^2 = 8^2[/tex] must be correct. 9 + 36 = 45. 45 is not equal to 64, so the triangle is not right-angled.

In Figure B,  if the triangle is right-angled, the equation [tex]5^2 + 12 ^2 = 13^2[/tex] must be correct. 25 + 144 = 169. 169 is 13 squared, so the triangle is right-angled.

Alternatively, as you are already given the square values for each side length, there is no need to square root and square again. You can just test if the two smaller areas equal the larger area, but the explanation above uses a more detailed example of the Pythagorean Theorem.


Related Questions

PLEASE HELP ME OUT I WILL GIVE BRAINLIEST

Perform the following conversions using unit fractoring

2.3L = ______ mL

4.5 yds = ______ in

Answers

Answer:I got you

2.3L=2300ML

4.5yds=162in

Step-by-step explanation:

2.3 L x 1000 = 2300 ML
4.5 yards x 36 = 162 inches

102 > 6x + 3 ( 4- 8x )

Answers

Answer:

x > - 5

Step-by-step explanation:

[tex]102 > 6x + 3 (4-8x) \\\rule{150}{0.5}\\102>6x+ 12-24x\\\\102>6x-24x + 12\\\\102>-18x + 12\\\\102 - 12 > -18x + 12 - 12\\\\90 > -18x\\\\\frac{90>-18x}{-18}\\\\-5 < x\\\\\boxed{x > -5}[/tex]

Hope this helps you.

logb(x-1) + logb(x+2) = logb(8-2x)

Answers

Answer:

x=2

Step-by-step explanation:

log_x(y)+log_x(z)=log_x(yz), so logb(x-1) + logb(x+2)=logb((x-1)(x+2)). next subtract logb(8-2x) from both sides to get logb((x-1)(x+2))-logb(8-2x)=0. log_x(y) - log_x(z) = log_x(y/z). so now we have logb((x-1)(x+2)/(8-2x)). now you can put it into exponential form: (x-1)(x+2)/(8-2x)=b^0=1 now just solve for x:

(x-1)(x+2)= 8-2x, x^2 + x -2 = 8-2x, x^2 + 3x -10 = 0, (x+5)(x-2)=0 x=-5, x=2. plug both into the original equation to check which one is correct, since log_x(y) can't have a negative y, x=-5 doesnt work

-18<3(x+2)<12

⚠️Compound Inequality⚠️

Answers

Answer:

-8<x<2

Step-by-step explanation:

divide everything by 3 to get -6<x+2<4. next subtract 2 from everything to get -8<x<2

If (8^2)P = 8^4, what is the value of p?

Answers

Answer:

The answer is 2

First, we simplify it to 64^p = 4096.

Then, take the log of both sides:

p = log (4096) / log (64)

p = 2

Please mark brainliest i need 1 more

Step-by-step explanation:

Without calculating, explain how you can tell if the value of the expression (-2.37) - (.7.91) - (2.45)?

Answers

Answer:

33343555

4

3

4

34

2354555444

5224

34

32555555

555

5

32

55233=3=44

Step-by-step explanation:

work out values a,b,c,d

Answers

since u have a blank black screen the answer has to be A


(2,-6), (-4,-3)
What is the slope

Answers

Step-by-step explanation:

the slope is -3

that is the answer

Answer:

m = 3/-6

Step-by-step explanation:

Look at attached photo

CAN SOMEONE PLSSSS HELP ME ON THE LAST ONE (c) AND GIVE THE REASON IM SO STUCK IN THIS MUCH APPRECIATED TO THOSE WHO HELP

Answers

Answer:

Diagram B

Step-by-step explanation:

A line of best fit is a line drawn through a set of points that fits it best. You can see in diagrams A and C that the lines cross through or near most of the points. However, in diagram B, it crosses through 2 points, and misses quite a lot. Your answer is B :) hope this helped!

What is it. As a fraction

Answers

Step-by-step explanation:

i Don't know?is that the questions?

A sink can hold 10 gallons of water.how many quarts of water can the sink hold?

Answers

Answer:

40 quarts

Step-by-step explanation:

one gallon is 4 quarts, so ten gallons would be 40.

4(quarts) x 10(gallons) = 40(number of quarts in the 10 gallons)

4 quarts is in a gallon so just take 4x 10 and its 40 quarts

What is the y-intercept of the linear equation x minus one-half y = negative 6? –6 –3 0 12.

Answers

Answer:

(0,12) or 12

Step-by-step explanation:

x - 1/2y = -6

When you make x = 0,

-1/2y = -6

y= 12

Hope this helps!

Answer:

12

Step-by-step explanation:

got it right on edge2021

PLSSSSSSS HELPPPPPPPP ASAPPPP

Answers

Answer:

Answer should be choice 4

Step-by-step explanation:

What is the perimeter of the L-shaped figure?
Please answer without using a link.

Answers

Answer:

3a+4+4+6+2a

5a+14

Step-by-step explanation:

hope i got it right

Step-by-step explanation:

we know,

perimeter = sum of all sides

so a/q perimeter of the given figure is

→ 3a + 4 + 4 + 6 + a + 4 + 2 + 2a

→ 6a + 20

therefore, perimeter of the given figure is 6a + 20.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Philip currently has $450 in his checking account. Each month Netflix withdraws $15 for dues. Which equation can be used to find y, the current amount in Philip's checking account after x number of months?

Answers

The answer is 30 I’m 100% right

How will knowing the value for the best measure of center for the heights of the adult males help Nancy determine whether she can send the same distributions of sizes to each country for the men’s clothing line or will need to adjust the distributions she sends?

Answers

The best measure of center for the heights help Nancy to determine the sizes of cloth for countries, as it does not include outliers

What is mean of the data set?

The mean of the data is the average value of the given data. The mean of the data is the ratio of the sum of all the values of data to the total number of values of data.

The mean of the data is the center tendency and includes the outlines.

The value for the best measure of center for the heights of the adult males help can help Nancy in two ways:

She can send the same distributions of sizes to each country for the men’s clothing line She needs to adjust the distributions she sends.

Here, when Nancy uses the mean of the data of height, she also measures the outliers. This affect the calculation of her. With the best measure of center, help her to deter line the size.

Thus, the best measure of center for the heights help Nancy to determine the sizes of cloth for countries, as it does not include outliers.

Learn more about the mean here;

https://brainly.com/question/14532771

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Solve the equation.

2x+4+8x=24

Answers

2x + 4 + 8x = 24

2x + 8x = 24 - 4

10x = 20

x = 20 ÷ 10

x = 2

____

Hope it helps!

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂ ❤

Answer:

[tex]\boxed{\boxed{\sf x=2}}[/tex]

Step-by-step explanation:

[tex]\sf 2x+4+8x=24[/tex]

Combine like terms:

[tex]\sf 2x+8x+4=24[/tex][tex]\sf 10x+4=24[/tex]

Subtract 4 from both sides:

[tex]\sf 10x+4-4=24-4[/tex][tex]\sf 10x=20[/tex]

Divide both sides by 10:

[tex]\sf \cfrac{10x}{10}=\cfrac{20}{10}[/tex][tex]\sf x=2[/tex]

____________________________

Hello please help me with this question

Answers

The answer to this question is 5589

(951² - 159²)÷(7539²-357²) x (258²-852²)

Answers

Answer:

(879,120)÷(56709072) ×(-659340)=-10221.274

Step-by-step explanation:

we use bedmas rules when it comes to long solving questions.

Graph the line with slope 3/4 passing through the point (1,5).​ 20 points!

Answers

Answer:

y = (3/4)x + 17/4

Step-by-step explanation:

since we know the slope is 3/4, we have y = 3/4x + b. next plug in the point given. 5= 3/4(1) + b, simplify the equation to get 17/4=b, and now we have our equation: y = 3/4x + 17/4

A student is running a 10-kilometer race. He runs 1 kilometer every 4 minutes. Select the function that describes his distance from the finish line after x minutes.
f(x) = 1 over 4x + 4
f(x) = − 1 over 10x + 4
f(x) = 1 over 10x + 10
f(x) = − 1 over 4x + 10
-------------------------------------------
I thought it was c but I was wrong. Could anybody help?

Answers

Answer:

I think it might be d because it is the only one with 4x and 10

Is 100 a reasonable estimate for 915.25 +88.22? Explain.​

Answers

Answer:

When estimating always round to the nearest whole number, 10th or 100th.

Im not sure if which estimation you are requesting in this question but i'l give you three answers:

The nearest whole number which would be 915 and 88 would be 1,003

The nearest 10th which is 920 and 90 which would be 1,010

The nearest 100th which would be 900 and 90 which would be 990

50 Points Per Answer
Create a function in factored form for a roller coaster.

• Your coaster ride must have at least 3 relative maxima and/or minima
• The ride length must be at least 2 minutes (blueprint must use seconds)
• The coaster ride starts at 250 feet
• The ride dives below the ground into a tunnel at least once
• The ride must have one “turn around/bounce” (Mutliplicity 2)
• The ride must have at least one “twist/swerve” (Multiplicity 3)
• The ride must hit ground level at least three times (Three real zeros)

Answers

Answer:

Since you have 3 local extremas, you will have a polynomial function of degree 4.  The domain of the function is [0, 4].

 

Use these initial conditions as your guidelines:

 

f(0) = 250

 

f(x) has at least one x-intercept (crosses the x-axis) and must be in the interval (0, 4].

 

f(x) decreases in any of the following intervals: (0, 1) or (2, 3)

 

 

Remember, you will have an arbitrary function that satisfies these conditions.

Step-by-step explanation:

I did :Your coaster ride must have at least 3 relative maxima and/or minima

Arnold has a bag of 10 sweets. He eats 9 of them. What fraction of the sweets does he eat?​

Answers

Answer:

9/10

Step-by-step explanation:

if he has 10 and eats 9 you divide 9 by 10

= 9/10

Arnold eats 9 / 10 fractions of the sweets.

Given that,

Arnold has a bag of 10 sweets. He eats 9 of them. What fraction of the sweets he eat is to be determined.


What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What is the fraction?

Fraction is defined as the number of compositions that constitutes the Whole.

Here,
Arnold has a bag of 10 sweets
Total sweets = 10
Total sweets that were eaten by Arnold = 9
So,
Fraction = sweets eat / total sweet
Fraction = 9 / 10

Thus, Arnold eats 9 / 10 fractions of the sweets.


Learn more about fractions here:

brainly.com/question/10708469

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Ms. Suzuki is buying soda for the pizza party her class earned. She estimates that each of her
24 students will drink 250 milliliters of soda on average. How many 2-liter bottles of soda
should she buy?

Answers

Answer: 3

Step-by-step explanation:

There are 24 students

1 student = 250 ml

24 students = 250ml x 24

= 6000 ml

To convert from millilitres to litres, divide by 1000

6000ml = 6000/1000l = 6 litres

2litres = 1 bottle

6 litres = 6/2 = 3 bottles

Therefore, she will need 3 2-litre bottles of soda

Answer:

The answer is 3

Step-by-step explanation:

I'll mark brainliest for the first correct answer

Answers

Area of circle = A = πr2 = π × 42 ≈ 50.26548 yard²

- BRAINLIEST answerer

pls help 3 x 2 + 6 (4+1) = ???

Answers

Answer:

17 IS THE ANSWER......................

Answer:

Your answer should be 36.

50 points and brainliest for first correct answer

Triangle ABC is dilated by a scale factor of 3. Find the vertices of the new triangle DEF if the original vertices are A(-1, 1), B(2, 7) and C(3, -3).
What are the new coordinates?

Answers

Answer:

A(-3,2)B(3,7) and C(4,-4)

Step-by-step explanation:

these are the new coordinate

paisley’s mom buys a car using a loan . she repays the loan by paying $22.032 in 48 equal monthly payments . how much is each payment ?

Answers

Answer: $459 each month

Step-by-step explanation:

Paisley's mom is paying the loan of $22,032 in 48 equal monthly payments.

In order to find how much each month's payment would be you divide the loan by 48.

22,032 ÷ 48 = 459

Paisley's mom would need to pay $459 each month for 48 months to pay off her loan.

A circular coaster has a diameter of 5 inches. What is its area? write your answer using π.

Answers

Answer:

Step-by-step explanation:

Diameter=5 inches

Area= π[tex]r^{2}[/tex]

r is the radius of coaster.

Radius=diameter/2

Substitute the value of D:

r=5/2

Now

Area=π [tex]\frac{5}{2} ^{2}[/tex]

Area=π([tex]\frac{25}{2}[/tex])

Area=12.5π sq.inches

If you need to ask any questions, please let me know.
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