In a proof of the Pythagorean theorem using similarity, what allows you to state that the triangles are similar in order to write the true proportions StartFraction c Over a EndFraction = StartFraction a Over f EndFraction and StartFraction c Over b EndFraction = StartFraction b Over e EndFraction?

the geometric mean (altitude) theorem
the geometric mean (leg) theorem
the right triangle altitude theorem
the SSS theorem

Answers

Answer 1

Answer:

C: the right triangle altitude theorem  

Step-by-step explanation:

Answer 2

In proof of the Pythagorean theorem using similarity, the right triangle altitude theorem allows us to state that the triangles are similar.

What is geometric mean(altitude) theorem?

We know that the geometric mean (altitude) theorem states that the altitude is equal to the geometric mean of the two segments.

We know that the geometric mean (leg) theorem states that a leg is the geometric mean between the hypotenuse and the leg's projection on it in every right triangle.

We know that the right triangle altitude theorem states that If we draw an altitude in a right triangle from the vertex which contains the right angle to the opposite side, the triangles on both sides of the altitude are congruent, and the entire triangle is congruent as a result.

We know that the SSS theorem If the three sides of one triangle are equal to the three sides of the other, then the two triangles are congruent.

How to tackle the problem?

Here, we have to find the specific theorem which demonstrates the equality of proportionate values in the Pythagorean theorem. From the above theorems, we can conclude that our required theorem is the right triangle altitude theorem.

Therefore In proof of the Pythagorean theorem using similarity, the right triangle altitude theorem allows us to state that the triangles are similar. So, option C is correct.

Learn more about the right triangle altitude theorem here -

https://brainly.com/question/4470400

#SPJ2


Related Questions

Evaluate the expression 8-3×2+5

Answers

Answer:

7

Step-by-step explanation:

First do 3x2 to get 6, and then do 8-6, which is 2, and add that to 5 to get 7

In a bag of 20 balls, 2 are pink, 7 are green, 4 are white, 5 are black, and 2 are orange. If the first ball chosen is
pink and not replaced, what is the probability that the next ball is black?
A.1/10
B.15/63
C.2/19
D.5/19

Answers

Answer:

The answer is D 5/19.

Step-by-step explanation:

There are 20 balls and one git removed then 5 are black so you put 5 over the number of balls 20.

Need help with this math problem look at the picture. ​

Answers

Answer:

Square Root of 35

Step-by-step explanation:

5 * 7 = 35

Answer:

5.91607978309

Step-by-step explanation:

The short run is defined as a period of time where

Select one:
a. some of a firm's inputs are fixed
b. only a small number of firms can enter or exit the industry.
c. the firm always breaks even (earns zero profit).
d. all inputs can be changed, but only for a little while and then must be changed back to their original levels.

Answers

Answer:

q

Step-by-step explanation:

a q q q q q q q q q q qq q qq q q q q q qa q q q q q q q q q q q

6 divided by 1 1/8


Dont force the calcu- nvm I forgot Fractions cant be used in calculators :(

Answers

Answer:

4 and 4/11

Step-by-step explanation:

Answer:

4 4/11

Step-by-step explanation:

You start with 6/1 divided bye 11/8. You keep the 6/1, switch the division to multiplication, and flip the 11/8 to 8/11. You multiply the fractions and get 48/11. Simplifying gives 4 4/11.

what is There are fourteen whole snack bars on a plate. There are five friends.
Carl eats 2.5 snack bars.
Dave eats 2.7 snack bars.
Tony eats 2.5 snack bars.
Gary eats 2.0 snack bars.
Tyrone eats 2.3 snack bars.
Carl says he ate the most snack bars. Is Carl correct? There are no more snack bars on the plate. Gary looks at the snack bar pieces that each friend has left. Gary says they only ate a total of a dozen snack bars. How does Gary know that the friends only ate a total of a dozen snack bars? Show all your mathematical thinking.

Answers

Carl is incorrect. Dave ate a higher fraction of snack bars, by 0.2 snack bars.

Carl had .5 left of a snack bar.

Dave had .3 left of a snack bar.

Tony had .5 left of a snack bar.

Gary had .0 left of a snack bar.

Tryone had .7 left of a snack bar.

If we add the above snack bars, there is a total of two remaining snack bars, meaning they only ate 12 of 14 snack bars.

The hands of a clock form a 150° angle. What time would it be?

Answers

Answer: I would say 10:15.

Step-by-step explanation: Look at the 150° angle and the clock. You can see that it shows 10:15 if you were to put the 150° angle on the clock.

The time that it would be when the hands of a clock form a 150° angle should be considered be 5:00.

Calculation of the time;

Since

The hands of a clock form a 150° angle.

So here we can show the calculation:

[tex]360/12[/tex] = every hour is 30 degrees more

So, here it be like

[tex]= 150/30[/tex]

= 5 hours

Hence, The time that it would be when the hands of a clock form a 150° angle should be considered be 5:00.

Learn more about time here; https://brainly.com/question/17069398

need help with slopes..

Answers

Y intercept is -7 slope is 0 and the type of slope is 0 I think

Answer:

Step-by-step explanation:

y-intercept:  -7

type of slope:  0

slope: y=0x-7

slope's hard ;_;

Kim drives 156 miles from Rotherham to London.
She drives at an average speed of 60 miles per hour.
She leaves Rotherham at 7:30 am.
Does she arrive in London before 10:00 am?

Answers

Answer:

Speed = d/tS × t = d 60 × 2.5 hr = d

Answer: no she does not

Step-by-step explanation:that a point on mathswatch lol

A project has each of the following characteristics except ____.
A. Clearly defined scope, deliverables, and results.
B. An estimated budget that is subject to a high degree of uncertainty.
C. Low risk with a high profit potential or benefits.
D. An estimated time frame or schedule that is subject to a high degree of uncertainty.

Answers

Answer:

C. Low risk with a high profit potential or benefits.

Step-by-step explanation:

I hope this helps.

Explain how multiplying fractions and dividing fractions are alike and how they are different. ​

Answers

Answer:

Multiplying and dividing fractions are essentially the same process which you multiply the numbers straight across and no need for common denominators. Except in division of fractions, the second fraction is flipped so that the denominator is on the top and the numerator is on the bottom (reciprocal).

Step-by-step explanation:

Example:

[tex]\frac{3}{4} * \frac{1}{5} = \frac{3}{20}[/tex]

[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{5} = \frac{3}{4} * \frac{5}{1} = \frac{15}{4}[/tex]

plz helpppppppp me thxs​

Answers

Answer:thxxxxxxs for the points

Step-by-step explanation:

How many solutions does the absolute value equation have?

I x - 3 I + 2 = -2

Answers

9514 1404 393

Answer:

  the correct answer is marked

Step-by-step explanation:

When the graph of the left side of the equation does not intersect the graph of the right side of the equation, there are no solutions.

__

Additional comment

Even if you extend the domain to complex numbers, there are no solutions. The f(x) = |x| function always returns a positive real value, even for complex numbers.

will mark brainliest please this is urgent ​

Answers

I believe the answer would be D

The mean wages of 200 workers working in 3 shifts in a factory is 520.The average of 90 workers working in the first shift is Rs 500. The average of 60 workers working in the second shift is Rs 450.what is the average of workers working in the 3rd shift? ​
(with solution please)

Answers

Answer:

Rs 640

Step-by-step explanation:

Since, Mean wages of 200 workers = Rs 520

Therefore, total money earned by 200 workers = 200 × 520 = Rs 104000

Average of 90 workers in first shift = 500

Total earning of 90 workers = 90 × 500 = Rs 45000

Average earning of 60 workers in second shift = Rs 450

Total earning of these workers = 60 × 450 = Rs 27000

Remaining number of workers in 3rd shift = 200 - (90 + 60) = 50

Let the average earning of 50 workers in 3rd shift = x

Total earning of these workers = Rs 50x

Now total earning of 200 workers = Total earnings of workers working in different shifts

104000 = 45000 + 27000 + 50x

50x = 104000 - 72000

x = [tex]\frac{32000}{50}[/tex]

x = 640      

Therefore, average earnings of the workers working in 3rd shift is Rs 640.

What are functions? Is it a straight line or a curved line?

Answers

Answer:

A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair. it is a stright line

Step-by-step explanation:

got it right on testtt

Can someone help I’m stuck

Answers

Side angle side I think

Answer:

sas criteria congurency is proved by sas

Find the distance between the two numbers on the number line
-3.4, 2.8

Answers

Answer:

1.4

Step-by-step explanation:

John is a quarterback this year he completed 350 passes which is 70% of all passes he is attempting this year

Answers

Answer:

John attempted 500 passes.

Step-by-step explanation:

350 / x = 70%

350 = 0.7x

x = 500

David has 4 bales of hay for his 13 cows. What is an equivalent ratio of cows to bales of hay

Answers

Answer:

13 : 4

Step-by-step explanation:

13 : 4

he has 13 cows and he has 4 bales of hay so 13:4

you can't simplfy it so its still 13 : 4

Bella wants to create a tea-mix. She can buy Asian Treasure tea for $7.50 per ounce and Paradise tea for $5.00 per ounce. If she wants to make 60 ounces of tea-mix at a cost of $6.00 per ounce, how many ounces of Asian Treasure tea and how many ounces of Paradise tea should she buy?

Answers

9514 1404 393

Answer:

24 oz Asian Treasure36 oz Paradise

Step-by-step explanation:

The proportion of Asian Treasure is the difference in price of the mix and Paradise tea, divided by the difference in price of Asian Treasure and Paradise tea. So the amount of Asian Treasure is ...

  (6.00 -5.00)/(7.50 -5.00)(60 ounces) = 24 ounces . . . Asian Treasure tea

The remaining 60-24 = 36 ounces will be Paradise tea.

__

Using an equation

You can get the same result if you define a variable (a) to the amount in ounces of the higher-priced contributor. Then the lower-priced contributor will be in the amount (60-a) ounces. The total cost of the mix is ...

  7.50a +5.00(60 -a) = 60(6.00)

  (7.50 -5.00)a +60(5.00) = 60(6.00) . . . rearrange the left side

  (7.50 -5.00)a = 60(6.00 - 5.00) . . . . . .  subtract 60(5.00)

  a = 60(6.00 -5.00)/(7.50 -5.00) . . . . . . divide by the coefficient of 'a'

Note that this last expression is identical to the one we used above to find the quantity of Asian Treasure tea.

can i have an explanation for why this is d please

(someone else told me it was d)

Answers

Answer:

Im quite ceratin it's B.

Step-by-step explanation:

Divide each of those values and you get 5 except for B.

a) 4/0.8=5

b) 55/10=5.5

c) 20/4=5

d) 50/10=5

Notice how it is asking you for a relationship, not appearance.

Dimensional Analysis Problems

Answers

Answer: oeidkssowkjss

Oop- sry

Step-by-step explanation:

The amount of time it takes a swimmer to swim a race is inversely proportional to the average speed of the swimmer. A swimmer finishes a race in 25 seconds with an average speed of 6 feet per second. Find the average speed of the swimmer if it takes 50 seconds to finish the race.

Answers

9514 1404 393

Answer:

  3 feet per second

Step-by-step explanation:

If the time is multiplied by 2, the inverse relationship tells you the speed is multiplied by 1/2.

  (1/2)(6 ft/s) = 3 ft/s

The swimmer's average speed is 3 ft/s.

Eli is making slime. His recipe calls for 2/3 cup of glue for every
3/4 cup of laundry detergent. How many cups of glue does he need for 1 cup of
laundry detergent?

Answers

He will need 2/3 of a cup.
You can do this by setting up a proportion, so
(2/3)/(3/4) = x/1.
Then you would get 2/3 = 3/4x
Divide both sides by 3/4
X = 8/9

HELP FAST IT'S TIMED

Answers

Answer:

3/6 or if you prefer simplified version it is 1/2

Step-by-step explanation:

1/3=2/6

2/6+3/6=5/6

Answer:

d = 1/2

Step-by-step explanation:

5/6 = 1/3 + d

~Find common denominators

5/6 = 2/6 + d

~Subtract 2/6 to both sides

3/6 = d

~Simplify

1/2 = d

Best of Luck!

draw a mapping that represents a relation with domain -1, 0, 2 and range 1,4 is only one answer possible? explain​

Answers

i learned this in class

solve this inequality

Answers

Answer:  [tex]x < 3[/tex]

Explanation:

To isolate x, we first add 3 to both sides. Then we'll divide both sides by 4

[tex]4x-3 < 9\\\\4x-3+3 < 9+3\\\\4x < 12\\\\\frac{4x}{4} < \frac{12}{4}\\\\x < 3[/tex]

So x can be any number smaller than 3.

The inequality sign will not flip because we are not dividing both sides by a negative number.

find the domain of f(x) . give answer in interval notation

Answers

Answer:

(0,6]

Step-by-step explanation:

1.5 X 10 second power

Answers

Answer:

15

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

10 to the 2nd power is 100

100 x 1.5=150

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