Todd has created the following diagram to prove the Pythagorean theorem. He drew (triangle)ABC with leg lengths a and b and hypotenuse length c. Then he drew altitude CZ to the hypotenuse. He determines that c/a=a/z and c/b=b/y. Then he determines that cx=a^2 and cy=b^2. What is the next step in proving the theorem?

Todd Has Created The Following Diagram To Prove The Pythagorean Theorem. He Drew (triangle)ABC With Leg

Answers

Answer 1

Answer:

cx + cy = a² + b²

Step-by-step explanation:

Next step is adding up cx and cy:

cx + cy = a² + b²

Then followed by:

c(x+y) =  a² + b²c² =  a² + b²
Answer 2

Answer: cx + cy = a² + b²

Step-by-step explanation:


Related Questions

Which statement must be true

Answers

Answer:

Its A

Step-by-step explanation:

0 0 1 2 3 4 4 5 6 6

Which of the following could be the one missing data item for the above
set, if the mode is 4?

OA) 0
OB) 3
OC) 4
OD 5​

Answers

D- I could be wrong

i need help pleaseeeeeeeee

Answers

Answer:

the last option

Step-by-step explanation:

I think it would be the last option

Please help ASAP will mark brainliest

Answers

the points are (1,8) :)


The following balls are placed in an urn: 4 red, 2 yellow, 4 blue, and 2 green. One ball is randomly drawn from the urn. What is the probability that the ball
Is either yellow or green?

Answers

Answer:

1/3 as;

16.66665/100 + 16.66665/100 = 33.33/100

Convert to 12 = 4+4+2 +2 = 4/12

Step-by-step explanation:

or 1/3

Is this SAS or Not SAS?

Answers

The Answer is: This Not SAS

the special assault squad or the SAS where oppressive soldiers sent from england to murder irish people for fighting for freedom

In which type of triangle is the orthcenter on the perimeter of the triangle

Answers

Answer:

Right Triangle

Step-by-step explanation:

All altitudes meet on the right angle vertex.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

please help me and thank you

Answers

Answer:B 1 at 3 Cups=7 cups

Step-by-step explanation:

4x4=16 cups

1.5×6=9 cups

16-9=7

Suppose that 2x^2 - 5x + k = 0 is a quadratic equation with one solution for x. Express k as a common fraction.
Thanks for helping in advance!

Answers

Answer:

if u answer my question i will answer yours

Step-by-step explanation:

2x^2  - 5x  +  k  =   0

 

If  this has one solution then the discriminant  = 0

 

So

 

(-5)^2  - 4 (2) k   = 0

 

25  - 8k  = 0

 

25  =  8k

 

25/8  = k

Find the volume of the rectangular prism
A) 19 in3
B) 57 in3
C) 144 in3
D) 288 in3

Answers

Answer:

C) 144 in3

Step-by-step explanation:

Area of rectangular prism = lwh

8*9*2 = 144

A basket contains 5 purple pencils and 9 brown pencils. If two pencils are picked at random
one after the other without replacement, then what is the probability that both the pencils
are purple?
5/182
10/91
2/91
9/182

Answers

Answer:10/91

Step-by-step explanation:

does anyone understand the Pythagorean Theorem​

Answers

Answer:

a^2 + b^2 = c^2

Step-by-step explanation:

In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

a^2 + b^2 = c^2

a = side of right triangle

b = side of right triangle

c = hypotenuse

*can only be used for a RIGHT triangle*

( hope i was able to help)

What number is the opposite of 98?

Answers

Answer:

-98

Step-by-step explanation:

hope this is right

Answer:

-98

Step-by-step explanation:

a negative number is the opposite of a positive number

Find the constant of variation k for the inverse variation. Then write an equation
for the inverse variation.
y=2.5 when x = 9

Answers

Answer:

k = 22.5

xy= 22.5

Step-by-step explanation:

Find the volume of this hemisphere. Round your answer to two decimal places.

Answers

Answer:

[tex]1263.66ft^3[/tex]

Step-by-step explanation:

[tex]Volumesphere=\frac{4}{3} *\pi *r^3[/tex]

[tex]\frac{4}{3} *\pi *(\frac{16.9}{2}) ^3\\volume sphere= 2527.31128245\\Volume hemisphere= \frac{volumesphere}{2} \\Volume hemisphere= \frac{ 2527.31128245}{2} \\Volume hemisphere= 1263.65564122\\Rounded= 1263.66[/tex]

Answer: 5

Step-by-step explanation:

Enter all answers to the nearest tenth.

A day care program has an average daily expense of $75.00. The standard deviation is $5.00. The owner takes a sample of 64 bills. What is the probability the mean of his sample will be between $70.00 and $80.00?
Step 1. Calculate a z-score for $70.00 -
Step 2. Give the probability for step 1. %
Step 3. Calculate the z-score for $80.00 +
Step 4. Give the probability for step 3. %
Step 5. Add the probabilities from steps 2&4. %



Answers

Answer:

What is  the probability the mean of his sample will be between $70.00 and $80.00? = 64/64 =1

s1) = 99% =z score = 127/128

s2)64/64 = 1

s3)95% of 64 = 123/128

s4) p) step 3 = 95% of 64 = 60.08 /64 = 60/64 = 93.75%

s5) P)of 2+4 = 283/292 = 96.92%

Solve the following equation for x. x2 + 8x + 7 = 0 A. x = -1; x = -7 B. x = 1; x = -7 C. x = 1; x = 7 D. x = -1; x = 7

Answers

So the right answer is of option A.

Look at the attached picture

Hope it will be helpful to you..

Answer:

a

Step-by-step explanation:

i took this text

Find the midpoint of A and B where A has coordinates (2, 4)
and B has coordinates (-3,-9).

Answers

Answer:

x= -0.5  

y= -2.5

A system of two equations is shown below. What will you need to multiply the
top equation by in order to solve this system using the elimination method?
X+ y = 4
3x + 4y = 14
O A. 3
B. 4
C. -2
O D. -3

Answers

Answer:

the right answer is : -3

Step-by-step explanation:

[tex]\left \{ {{x+y=4} \atop {3x+4y=14}} \right. \\\left \{ {{-3(x+y)=-3*4} \atop {3x+4y=14}} \right. \\\left \{ {{-3x-3y=-12} \atop {3x+4y=14}} \right. \\\left \{ {{-3x-3y+3x+4y=2} \atop {3x+4y=14}} \right. \\\left \{ {{-3y+4y=2} \atop {3x+4y=14}} \right. \\\left \{ {{y=2} \atop {3x+4*2=14}} \right. \\\left \{ {{y=2} \atop {3x=14-8=6}} \right. \\\left \{ {{y=2} \atop {x=\frac{6}{3}=2 }} \right.[/tex]


A garden table and a bench cost $910 combined. The garden table costs $60 more than the bench. What is the cost of the
bench?

Answers

Answer:

You could subtract 910 from 60 which would give you 850 and that would be your answer.

Step-by-step explanation:

Answer: $850

Step-by-step explanation: take 910 - 60

round off each of the following to 2 decimal places.

Answers

127.9
0.6
231.4
325.4
185.9
520.8
2154.8
1769.5
1259.8
127.821

answer with work pls!!

Answers

Answer:

The surface area of the triangular prism is 24 mi².

Step-by-step explanation:

A surface area is the sum of the areas of all faces on a 3D shape.

A triangular prism has 5 faces consisting of three rectangular sides and two triangular faces.

To find the surface area of the rectangular sides, you multiply the length by the height.

5x1=5

4x1=4

3x1=3

5+4+3=12

the surface area of the rectangular sides is 12 mi²

To find the surface area of the triangular faces, you can use the formula, A=1/2bh, where A is the surface area, b is the base, and h is the height.

A=1/2 · 3(base) · 4(height)

Since there are two triangular sides you multiply this by 2, which cancels out the 1/2 since 1/2 x 2 = 1.

A = 3 · 4

A = 12

the surface area of the triangular faces is 12 mi²

Add up the total surface area of the rectangular sides and triangular faces.

12 + 12 = 24

Hope this helps ;D

Pls mark as brainliest?

solve for x
6(x-9)=3x+2
give your answer as an improper fraction

Answers

Answer:

56/3

Step-by-step explanation:

6x-54=3x+2

3x-54=2

3x=56

x=56/3

Answer:

56/3Step-by-step explanation:6(x-9)=3x+26*x-6*-9=3x+26x-54=3x+26x-3x=54+23x=563x/3=56/3x=56/3

Which expression is equivalent to (90?
Of(5) g(5)
f(5) + g(5)
5f(5)
59(5)

Answers

the answer is 5f(5)

Trust me just work it out and you will get the same

The graph represents the distribution of the number of questions answered correctly on a 50-question math test.What is the standard deviation of the data? 4 8 12 24

Answers

The standard deviation is a measure of dispersion.

What is standard deviation?

Standard deviation is a measure of dispersion. Measures of dispersion show how numbers are scattered around the mean. The question is incomplete hence the graph was not showed.

However, the shape of a normal curve is much dependent on the standard deviation of the data set.

Learn more about standard deviation: https://brainly.com/question/12402189

Answer:

a.4 or A

Step-by-step explanation:

Find the median of the following data set: 95, 92, 96, 93, 94, 95, 93 *

Answers

Answer:

93            

the median is the middle of the data set

Step-by-step explanation:

Answer:

94.

Step-by-step explanation:

First, line the numbers up in order from least to greatest.

92, 93, 93, 94, 95, 95, 96.

Next, find the middlemost number.

A population is growing continuously at a rate of 5%. If the population is now 3400, what will it be in 17 years? Round to the nearest thousand.

Answers

Answer:

In 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792

Step-by-step explanation:

Here we have that the formula for population presented as follows;

[tex]A = P(1+r)^t[/tex]

Where:

A = Population after growth

P = Original population = 3400

r = 5% = 0.05

t = Time = 17 years

Population growing at a rate of 5% is thus given by the plugging in the above values into the population growth formula thus;

[tex]A = 3400 \times (1+0.05)^{17} = 7792.86[/tex]

Since we are presenting data relating to number of people, we round alwys down as the statistics should represent the number of whole people on ground.

Therefore, in 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792.

Answer:

Step-by-step explanation:

The growth rate is exponential. We would apply the formula for exponential growth which is expressed as

y = b(1 + r)^ t

Where

y represents the population after t years.

t represents the number of years.

b represents the initial population.

r represents rate of growth.

From the information given,

b = 3400

r = 5% = 5/100 = 0.05

t = 17 years

Therefore

y = 3400(1 + 0.05)^17

y = 3400(1.05)^17

y = 3400 × 2.2920183178

y = 7800 to the nearest thousand

-5(3x+10)+6=-14 help show work

Answers

Answer:

-15x-50+6=-14

-15x-44=-14

      +44.    +44

-15x = 30

divide by -15 on both sides

30/-15

x=-2

Step-by-step explanation:

-5*3x + -5*10 + 6 = -14
-15x - 50 + 6 = -14
-15x - 44 = -14
-15x = 30
x = -2

What is cosA?

a. 12/13
b. 5/13
c. 5/12

Answers

B. 5/13

The formula for cosine is adjacent/hypotenuse.

The line adjacent to angle A has the length of 5. While the hypotenuse has the length of 13.

So 5/13

Help please!
Find the surface area of a cube with sides and height of 10 inches ​

Answers

Answer:

600

Step-by-step explanation:

10 times 10 is 100. A cube has 6 sides. 6 times 100 is 600

Answer:

10 x 10 = 100 so the area of 1 side is 100

there is 6 sides and the surface area is all the areas added up

100 x 6 = 600

the surface area is 600

Step-by-step explanation:

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