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

What is 6x to the power of 3 multiplied by 4x to the power of 8

Answers

Answer:

24x^11

Step-by-step explanation:

4x^8*6x^3 can be rewritten as 24x^(3+8) - multiply 4 and 6

Now we just have 24x^11.

Solve for the value of n

Answers

Answer:

n = 8

Step-by-step explanation:

Both given angles are verticale angles therefore they are congruent, so;

9n = 8n + 8

(9n - 8n) = 8

n = 8

Hope this helps!

N is equal to 8 u feel



An item costs $300 before tax, and the sales tax is $9.90 . Find the sales tax rate. Write your answer as a percentage.

Answers

Answer:

3.33%

Step-by-step explanation:

9.90/300=0.033

Does the point (5, -1) lie on the line 2y + 3x = 13?​

Answers

Answer: Yes

Step-by-step explanation:

You can find out by inputting your values

2y + 3x = 13

x = 5

y = - 1

2(- 1) + 3(5) = 13

- 2 + 15 = 13

13 = 13

use synthetic division to evaluate f(x)=x^3-6x+1 for x=6. f(6)=____​

Answers

Given: x=6

By substituting value of x as 6 in the given expression, we get:

[tex]f(6) = {x}^{3} - 6x + 1[/tex]

[tex]→f(6) = {6}^{3} + (6 \times 6) - 1[/tex]

[tex]→f(6) = 216 - 36 + 1[/tex]

Now, using integer sign property,

[tex]→f(6) = 216 - 35[/tex]

[tex]→f(6) = 181[/tex]

Therefore, f(6)=181

what is the sum of the first 8 terms of the geometric sequence 1, 1/2,1/4,1/8,..

(with solution)

PA HELP PO THANKYOUU~

Answers

Answer:

127/64  

Step-by-step explanation:  

1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64  

add all the given and it will result to 127/64

Equivalent decimals for 10.045

Answers

Answer:

10.05 , 10,0

Step-by-step explanation:

really sorry if theses aren't the answers your looking 4 !

Shop A has repaired 55 cars and repairs
5 more each week. Shop B has repaired
30 cars and repairs 10 more each week.
How many weeks (w) will it be before
Shop B repairs as many cars (C)
as Shop A?
C5W + 55
C= 10W + 30

Answers

Using a system of equations, it will take 5 weeks for Shop B to repair as many cars as Shop A.

What is a system of equations?

A system of equations is called simultaneous equations.

Simultaneous equations are two or more equations solved concurrently.

                                                              Shop A  Shop B

The number of cars already repaired      55         30

The number of cars repaired per week   5           10

Let the number of cars repaired by Shop A in w weeks = 5w + 55

Let the number of cars repaired by Shop B in w weeks = 10w + 30

For the number of cars repaired by each shop to equate, 5w + 55 = 10w + 30

5w - 10w = 30 - 55

-5w = -25

w = 5

Thus, using simultaneous equations, we can conclude that it will take Shop B 5 weeks to repair as many cars as Shop A.

Learn more simultaneous equations at https://brainly.com/question/148035

#SPJ1

A stadium has 35,000 seats. 4% of the seats have cushioned backs. How many seats are NOT cushioned in the stadium?

Answers

Answer:

1400

Step-by-step explanation:

If a bag contains 10 blue marbles, 5 green Marbles, and 3 red marbles, What is the ratio of red marbles to all Marbles? be sure to simplify/ an equivalent ratio

Answers

Answer:

1 red marble to 6 total marbles

Step-by-step explanation:

There are 3 red marbles, and (10 + 5 + 3) total marbles.

There are 3 red marbles to 18 total marbles

therefore the ratio is 3 to 18 which can be simplified by dividing both sides of the ratio by 3

the ratio is 3/3 : 18/3 which is 1:6

2. The width of a rectangle is 8 more inches than the length. The perimeter is 56 inches.
Find the length and the width.

Answers

Answer:

length=10inches

width=18inches

Step-by-step explanation:

length=x

width=x+8

perimeter=2l+2b

56=2x+2(x+8)

56=2x+2x+16

56-16=4x

4x=40

x=40/4

x=10

Find the length x. Round to the nearest tenth.

A.) 3.4
B.) 9.4
C.) 3.6
D.) 6.6

Answers

Answer:

A

Step-by-step explanation:

Mark brainliest please

Which of the playground’s features are more than 25 feet away from the swings? Choose the THREE correct answers.

Answers

The playground’s features are more than 25 feet away from the swings are;

Sandbox, Water fountain, Jungle gym

Looking at the given graph, the distances of the other features from the swing are;

For sandbox; 8 units

For restroom; 4 units

For water fountain; 9 units

For Jungle gym; 7 units

Bench; 5 units

Now we are told that each units on the graph represents 5 ft.

Thus, the respective distances from the swing are;

Sandbox to swing = 8 × 5 = 40 ft

Restroom to swing = 4 × 5 = 20 ft

Water fountain to swing = 9 × 5 = 45 ft

Jungle gym to swing = 7 × 5 = 35 ft

Bench to swing = 5 × 5 = 25 ft

Thus, the playground’s features are more than 25 feet away from the swings are;

Sandbox, Water fountain, Jungle gym

Read more about interpretation of graphs at; https://brainly.com/question/1638242

Write the equation of the line in fully simplified slope-intercept form. y intercept = -2 (GIVE EXPLANATION)

Answers

Answer:

See Below:

Step-by-step explanation:

So, first of all. to find the equation of the line, the equation has to be in [tex]y=mx+b[/tex] form. In this for the following are:

[tex]m[/tex] is the slope of the line[tex]b[/tex]  is the y intercept

Solving

So, first of all, to find the equation of the line, we can get two points from the line, you can pick any points you want, but for this case, I will be using (0,-2) and (-2,0).

To solve for the slope, we can use rise over run to find the equation.

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Upon inserting our points into the equation, we get a slope of -1.

[tex]\frac{0-(-2)}{-2-0}=\frac{2}{-2}=-1[/tex]

Creating The Equation

To create the equation in [tex]y=mx+b[/tex] form, we need to know what the intercept and the slope are, for which we solved above. We can now put in the things we found to get our final equation.

[tex]y=-1x-2[/tex]

We know the slope has to be -1 as we solved for that, and because the line is decending downwards, we can interpret the slope as down 1 right 1.

We know that b is -2 because the y intercept is -2 and b is equal to the y intercept. Therefore the b cation is -2.

Cheers!

Select the equation that is true.

6,714 ÷ 103 = 6.714
6,714 ÷ 103 = 67.14
6,714 ÷ 103 = 671.4
6,714 ÷ 103 = 6,714

Answers

None of them are correct but the one closest is the 2nd option

Answer:

if the three is meant to be a zero then the answer is B, 67.14

Step-by-step explanation:

Multiply.

[−8⋅4/11]⋅[(−0.1)⋅22]

Answers

Answer:

6.4

Step-by-step explanation:

Hope this helps :D

Hehehjsbusbsysbsusniwnwiwkwiwn

Find 6.3×10−59×10−3
6
.
3
×
10
-
5
9
×
10
-
3
in scientific notation.

Answers

Answer:

-5.3 x 10^2

Step-by-step explanation:

I believe that is the answer

16+4(q+11)+10q simplify

Answers

Answer:

Dogodgo

Step-by-step explanation:

Geometry haha, I have no idea how to do this

Answers

Answer:

∠DOB=108°

Step-by-step explanation:

∠AOD=∠COB=y

∠AOC=3.5y-y-y

          =1.5y

3.5y+1.5y=360° (angles at a pt)

          5y=360°

             y=360°÷5

               =72°

         1.5y=72°×1.5

               =108°

Hence, ∠DOB=108°.

Answer:

108

Step-by-step explanation:

Call the angle facing east x. The angle facing west is also x. The angle facing north, (thus the angle facing south) is given and is y. You can tell that if you take y twice and x once you get 3.5y, and it's easy to spot that x+y=180. Rest is simple math as in the image added - sorry for the handwriting. With simple algebra (you substitute back and forth) you should get x = 108 degrees.

Read the scenario. 3. Joelle is sewing a new outfit. One pattern piece is 4 in. long. The piece has a seam allowance of in. How long will the piece be after it is sewn? Hint: the seam allowance is how far in from the edge of the piece you sew. It reduces the overall size of the pattern piece. Show the solution to the problem using a horizontal number line. + + 1 O + 2 3. Length of Pattern Piece (in.) 4. 5 Answer:​

Answers

Answer: i think its 4.6 because i am doing the same problem and 4.6 looks the best answer.

Step-by-step explanation: you can also add 4+5/8 or 4+0.625 and you get 4.625 and 4.625 simplified is 4.6

heres the table and graph

Answers

Answer: distance 1min = 10in

In 1 minute the snail travels 10 inches  

In 2 minute the snail travels 20 inches

In 3 minute the snail travels 30 inches

In 4 minute the snail travels 40 inches

In 5 minute the snail travels 50 inches

y=10x

Find the value of x and thank for answer

Answers

X = 70

90 + 90 = 180

360 - 180 = 180

180 divided by 2= 90

90 - 20 = 70°

HELP QUICKKKKKKKKKKKKKKKKKKKKKKKKKKKK

Answers

Answer:[tex]7 x \frac{2}{} [/tex][tex]-20[/tex][tex]4x[/tex]Brainly.com

Answer:

a is 7 b is 4 and c is -20

Step-by-step explanation:

it is always in order of a b and c

pa help po

13.) given that " G " varies directly as " h " and g=64 when h=8 find the variation constant

can you plss answer no.# 13-15

wc in advance po
take note

nonsense answer= report
good answers will get brainlist and I'll follow you and I'll rate you

Answers

It would take 12 men 18 days to complete the job.

1) g ∝ h

g = kh; where k is the constant of variation.

g = 64, h = 8, hence:

64 = 8k

k = 8

g = 8h

2) j ∝ 1/h

j = k/h; where k is the constant of variation.

j = 190, h = 7, hence:

190 = k/7

k = 1330

j = 1330/h

When h = 70:

j = 1330/70

j = 19

3) y represent number of men and x represent the days

y ∝ 1/x

y = k/x

9 = k/24

k = 216

y = 216/x

For 18 days:

y = 216/18 = 12 men

Hence it would take 12 men 18 days to complete the job.

Find out more at: https://brainly.com/question/21126582

A researcher wants to study the effect of weather on college students' study habits. On a sunny day, the researcher sits in the quad and records the number of minutes of study per student. Identify the crucial element missing in this design.

Answers

In this experiment design, the missing element is the control group.

In most experiments, the researcher will need to have a control group and an experimental group.

The control group is the one that is not given a treatment, for example, if you are testing an antibiotic, then the control group is the individuals that do not receive the medicine.

This group is important because it acts as a reference to measure the real effect in the experimental group or those receiving the treatment.

The control group is missing in this experiment because the research will need to measure the hours students spend studying on a regular cloudy day, in this way, he can later determine if there is a real difference between the number of hours on a sunny day vs the number of hours on a day that is not sunny.

Learn more in: https://brainly.com/question/17475243

I'm really confused and need help.​

Answers

Answer:

EC = 3

Step-by-step explanation:

How many times does 9 go into 695 with partial quotient divison

Answers

it's 77 remainder two

look at the screenshots please and thank you I really don't understand it please I need help with this

Answers

Answer:

1. 2/9

2. 3/7

3. 1/5

Step-by-step explanation:

For each graph look at where the line comes to a point and look at first the y coordinate, then the x coordinate, the answer should be y / x for that graph. My class was recently going over this so I know this for sure.

Tell me if I'm wrong :)

Help me out I need it be great

Answers

Answer:

A.

How many tiles will you put in each row? 9

How many rows will you make? 3

B.

9x3=27

C.

9 models the amount of tiles in each row

3 models the amount of rows

27 models the total number of chairs/tiles

Step-by-step explanation:

What is a real number.

Answers

Answer:

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

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