Doug drew two identical triangles. He wants to prove the converse of the Pythagorean Theorem by using both triangles. The first triangle has side lengths of 12 cm, 16 cm, and 20 cm, such that 122 + 162 = 202. Using the converse of the Pythagorean Theorem, enter the length of the side opposite the 90° angle of the second triangle.______cm

Answers

Answer 1

Answer:

Answer is explained in the explanation section

Step-by-step explanation:

Solution:

Converse of the pythagorean theorem helps us to check whether a triangle is a right triangle or not. Converse of the pythagorean theorem is simply the opposite of the pythagoren theorem. Pythagorean theorem states that, if triangle is right triangle, then [tex]a^{2} + b^{2} = c^{2}[/tex]. On the other hand, Converse of the Pythagorean theorem states that, if [tex]a^{2} + b^{2} = c^{2}[/tex], then triangle is a right triangle.

Pythagorean theorem = [tex]c^{2} = a^{2} + b^{2}[/tex]

Converse of the pythagorean theorem = [tex]a^{2} + b^{2} ? c^{2}[/tex]

First of all let's check the first triangle is right triangle or not.

a = 12

b= 16

c= 20

So,

[tex]a^{2} + b^{2} = c^{2}[/tex].

144 + 256 = 400

400 = 400

Yes, 1st triangle is no doubt a right triangle. On the other hand, we are given that 2nd triangle = right triangle as we are given the 90 degree angle already. Here, we know that triangle is a right triangle

hence, [tex]a^{2} + b^{2} = c^{2}[/tex]. will surely be there.

Now, we have find out the side opposite to the 90 degrees angle, which is c.

we also know that, right triangles sides follow the pattern of 3x,4x and 5x

Since, c is the longest side.

Hence, c= 5x

Related Questions

Find one pair of prime numbers whose product is an even number.

Answers

Answer:

I think it's 1 and two for example 2 times 7 is 14

Step-by-step explanation:

Answer:

2 and 3.

Step-by-step explanation:

To get a product of an even number, you have to either multiply two even numbers together or multiply an even number and an odd number together.

There is only one even prime number- 2.

Therefore, you can have any pair of prime numbers that, when multiplied together, get an even number as long as one of those numbers is 2.

2 and 3 work, as well as 2 and 5. The list goes on and on. Just choose a random prime number (that's not 2) and pair it with 2. It is guaranteed that when you multiply those two numbers together, you will get an even number.

Can some one help me please

Answers

Answer:

Step-by-step explanation:

x+2+10 is 13 which is the beginning of the perimeter

I think it’s B I’m not for sure

Mike removed 56 marbles from his marble box and put them into 8 equal groups. How many marbles were in each group?

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

You divide 56, the total amount, by 8, the amount of piles.

56/8 = 7

Please MY LAST 15 POINTS! What is the x-coordinate of point B? Write a decimal coordinate.

On a coordinate plane, point B is 1.5 units to the left and 3.5 units up.

Answers

Answer:

-1.5

Step-by-step explanation:

i hope this helps

NEED HELP!!! I’ll report if your putting random answers down

Answers

Answer:

First blank: 8

Second Blank: 16

Third Blank: 56

Step-by-step explanation: Hope I helped

8, 16, 56
7*8= 56
5*8 + 2*8
40+ 16
56

estimate the quotients 123.8 ÷ 62

Answers

>> answer-1.99677419355. Estimate>> 124÷ 62 = 1 not sure

what’s 100/12 as a mixed number

Answers

Answer: 8 1/3

Step-by-step explanation:

100/12 = 8.33333333

8 4/12

8 1/3

Rewrite the expression as the sum of two numbers 7(2+5)

Answers

answer:

its 7 x 7 or 49

explanation:

First you used distribute property
7(2+5) bring 7 into the parentheses
14+35 Then you just add
49 that’s the sum

D= -200t + 9000 what is the answer to this question

Answers

Answer:

domain t = (-∞,∞)

range D = (-∞,∞)

Step-by-step explanation:

domain t = (-∞,∞)

range D = (-∞,∞)

Julio has 4 red Hot-tires race cars, 7 blue Hot-tires race cars, and 5 green Hot-tires race cars. What is the ratio of blue race cars to red race cars?

A.4:7
B.7:4
C.7:5
D.4:5

Answers

The answer is B, there are seven blue and four red

QUICK HELP!!!!!!!!!!!!!!!!

Answers

Answer:

Its C im pretty sure. Also loveee your pfp!

CAN SOMEONE PLEASE PLEASE PLEASEEEE ANSWER MY LAST QUESTION AND IF YOU CANT PLEASE DONT ANSWER

Answers

Answer:

I will try! :D

Step-by-step explanation:

Answer:

Ill look rn

Step-by-step explanation:

Tell whether the sequence is arithmetic. If it is, identify the common difference.
3,6,12,24

Answers

Answer:

its is a geometric sequence not arithmetic

the first term of a sequence is 13 you take away 5 find out the 4th term

Answers

Answer:

a4 = -2

Step-by-step explanation:

a2 = 13 -5 = 8

a3 = 8 -5 = 3

a4 = 3 -5 = -2

What’s 1.25 times 21

Answers

26.25. Easy stuff, man

P(2, -3), y = -6x + 10

Answers

Answer:

heffe nedda polla di cepta

Step-by-step explanation:

The cost, in dollars, for a group to attend a play is represented by 72p+ 250, where p is the number of

people attending. What is the cost for 36 people?

$286

$358

$2,342

$2,842

Answers

Answer:

Add 72+250 that will give u the answe

i hopStep-by-step explanation:

1) A store sold 350 bikes last year. This year, the store sold 272 bikes, what is the percent change in the
number of bikes sold last year to this year?
Answer: The percent change is?

Answers

Answer:

-22.3% or 22.3% less than the previous year

Step-by-step explanation:

350 - 272 = 78

78/350 = 22.3 to 3 significant figures

Eidoskaijsizjzkxkxdkjajjsjeksjsii

Answers

Answer:

Yes, Yes, No, Yes

Step-by-step explanation:

six and twenty-three thousands in standard form

Answers

Answer:

6.023

i hope this helps :)

HElP ME PLEASE 20 POINTS!!!!!!!!!!!!!!!!!!

Answers

Answer:

28.26

Step-by-step explanation:

28.26 i thimkblbkblblbkb

Order from greatest to least
.03 .0 .32. 07 .7

Answers

Answer: .7, .32, .07, .03, .0

Step-by-step explanation:

is this table linear or exponential what us the slope and what is the equation ?

Answers

Answer:

this table is exponential

Step-by-step explanation:

the way we can tell this is because we can find a common ratio of 4. we know this because linear tables have a common difference exponential tables have a common ratio. i found this answer by dividing 32,768 and 8,192

32,768/8,192 = 4

you can find a linear function by subtracting point 1 and point 2.

Please Help, and say where u got your answer from?

How does Washington’s request foreshadow a power shift within the American colonies?

Answers

Answer:

Having done everything in his power to secure American independence, Washington decided to retire “from all public employments” after the war. He found true peace back at Mount Vernon and was happy to “move gently down the stream of life until I sleep with my fathers.” Washington’s joyful retirement was interrupted in 1787 when his country called on him again.

Step-by-step explanation:

a 16% tip is left on a 42.50 lunch bill. How much is paid altogether

Answers

Problem:

a 16% tip is left on a 42.50 lunch bill. How much is paid altogether

Solution:

[tex]42.50 + 42.50 \times 16\%[/tex]

[tex] = 42.50 + 42.50 \times 0.16[/tex]

[tex] = 42.50 + 6.8[/tex]

[tex] = 49.3[/tex]

Answer:

$49.30 is paid altogether

#CarryOnLearning

#AnswerForTrees

#BrainlyBookSmart

need help 8y+3y+9x+4y-5x

Answers

Answer:

4x+15y

Step-by-step explanation:

If you want it simplified

3m + n = 71
2m - n = 30

Answers

Answer:

m = 20.2; n = 10.4

Step-by-step explanation:

[tex]\left \bigg \{ { \big {3m + n = 71} \atop \big {2m - n = 30}} \right.; => \left \bigg \{ { \big {3m + n -3m= 71-3m} \atop \big {2m - n-2m = 30-2m}} \right.; => \left \bigg \{ { \big { n = 71-3m} \atop \big { - n = 30-2m}} \right. ; => \\\\=> \left \bigg \{ { \big { n = 71-3m} \atop \big { - n \times (-1) = (30-2m)\times (-1)}} \right.; =>\left \bigg \{ { \big { n = 71-3m} \atop \big { n = -30+2m}} \right..[/tex]

-30 + 2m = 71 - 3m

-30 + 2m + 30 = 71 - 3m + 30

2m = 101 - 3m

2m + 3m = 101 - 3m + 3m

5m = 101

5m ÷ 5 = 101 ÷ 5

m = 20.2

n = 71 - 3m = 71 - 3 × 20.2 = 10.4

PLEASE HELP ASAP WILL GIVE BRAINLEIST!!
What is the circumference of this circle?

Answers

Answer:

37.7

Step-by-step explanation:

C = 2 pi r

C= πd

12× 22/7

= 264/7

= 37.71cm

True or False. The higher the interest rate, the larger the balance will be after a determined amount of time (than with a lower interest rate).

Answers

Answer:

True

Step-by-step explanation:

Principle = Interest * Time

So if time doesn't change, You'll get more money when Interest is higher!

In an arithmetic sequence, a3=15 and a8=0. What is the value of a5?

Answers

The value of a5 is 9

Other Questions

What is a number increased by 7 multiplied by 4? Suppose h(t) = -5t^2 + 3 is the height of a diver above the water (in meters), t seconds after the diver leaves the springboard. PLEASE HELP 50 POINTS!!!!a. How high above the water is the springboard? Explain how you know.b. When does the diver hit the waterc. At what time on the diver's descent toward the water is the diver again at the same height as the springboard?d. When does the diver reach the peak of the dive? Question 1Simplify5y - 2y + y + y You spend $75 on a meal including tax and want to leave a tip that is 20% of the $75. What is the total cost, with the tip? The cost of your meal, with the tip, is $(answer) What is the slope of a line parallel to the line 2x + 3y = 5? The number of individual networking address required for the internet is Which theme do the two passages have in common?The political party system has historically posed significant difficulties for democratic societies.Giving too much authority to any person or group of people can lead to corruption and the abuse of power.The broad powers granted to Congress make the legislative branch the most powerful branch of the U.S. government.Shifting the balance of power between the branches of the U.S. government, which requires a Constitutional amendment, is overly complicated. Need help. brainliy to the first person that answers is right telling why 1. Energy transfer is inefficient between trophic levels because A. Molecules are fully digested from each trophic level. B. Dead organisms and waste are recycled throughout the trophic levels. C. Organisms within a trophic level are fully consumed. D. All organisms within a trophic level die.2. Primary productivity is defined asA. The rate that plants and other photosynthesis organisms produce organic compounds.B. The process where green plants and some other organisms convert light energy into chemical energy using carbon dioxide and water.C. The overall amount of energy captured by plants and other photosynthetic organisms by the chloroplast. D. The adjusted amount of energy in an ecosystem due to energy use by organisms for respiration. Thanks if you help, It's highly appreciated. :-) The economic ideology expressed in the passage, combined with the industrialization of the early 19th century, most influenced society in which of the following ways?The working class achieved new levels of social mobility.Wealth became increasingly accumulated by a small, elite class.The middle class began to erode as more people began to work in factories.Political equality increased as members of all social classes became wealthier. People tend to evaluate the quality of their lives relative to others around them. In a demonstration of this phenomenon, Frieswijk, Buunk, Steverink, and Slaets (2004) conducted inteviews with frail elderly people. In the interview, each person was compared with fictitious others who were worse off. After the interviews, the elderly people reported more satisfaction with their own lives. Following are hypothetical data similar to those obtained in the research study. The scores are measures on a life-satisfaction scale for a sample of n = 9 elderly people who completed the interview. Assume that the population average score on this scale is = 20. Are the data sufficient to conclude that the people in this sample are significantly more satisfied than others in the general population? Use a one-tailed test with = .05. The life-satisfaction scores for the sample are 18, 23, 24, 44, 19, 27, 23, 26, 25. A 52 gram sample of an unknown metal requires 714 Joules of energy to heat it from30.5C to 82C. What is the specific heat ofthis metal?Answer in units of J/g C. I WILL GIVE BRAINLYESTRead the article "Voyages of Discovery:"Centuries ago, countries sponsored explorers to set sail for parts unknown and return with tales of new lands. These explorations led the Europeans to discover North America. The ocean journey from England, France, or Spain to North America was 3,000 miles of unknown dangers, but it led to discoveries. Explorers made these treacherous voyages for three main reasons: religion, wealth, and competition. These voyages of discovery began in the eleventh century.Historical records indicate that Leif Eriksson, a Viking explorer, was the first man to reach North America around 1000. Leif is credited with landing along the coastline of present-day Newfoundland. A Viking settlement was established and occupied for several years before Eriksson left to return to his homeland. He died around 1020.Much later, Christopher Columbus left his homeland in 1492 to seek wealth in the form of trade items. The Italian explorer was destined for China but erred in direction and arrived on Watling's Island in the Bahamas. It was a long and dangerous journey. Upon arrival, Columbus dedicated the newly discovered land to the Spanish King and Queen of Aragon. Then, Columbus made three more voyages to North America in 1493, 1498, and 1502. To the very end, Christopher Columbus was adamant that he discovered a trade route to China. He denied ever being to North America.Credited with sailing around the southern tip of Florida, Spanish explorer Juan Ponce de Leon had several adventures in the New World. His journey around Florida occurred in 1513. At the time, he thought Florida was an island. When he returned to Florida in 1521, he was wounded by a poisoned arrow, which ultimately ended his life.Afterward, Hernando De Soto, a Spanish adventurer, left to explore present-day Florida in 1538. He and his men traveled thousands of miles through the South. They were the first Europeans recorded to have crossed the Mississippi River in 1541.Sir Walter Raleigh was a soldier, a writer, and a friend of the Queen of England. Around 1587, he sent English colonists to a region later called Virginia. The colony is believed to have been located in North Carolina. Since the people arrived together, their previous lifestyle and beliefs were transplanted to the New World.Finally, Rene Robert de La Salle was French. Historical data credits de La Salle as being the first explorer to traverse the Mississippi to its mouth at the Gulf of Mexico. He claimed the land that bordered the Mississippi River (about a third of present-day United States) for France on April 9, 1682. He built numerous forts along the route, but the settlers were often terrorized by the natives.These brave explorers from England, France, and Spain have left their legacy. As a result of their adventures, many people now enjoy North America's religious diversity, natural resources, and independence.What is the overall structure of this text?Cause and effectChronological orderCompare and contrastProblem and solution 9. Which statement is true regarding the distribution of population throughout the world? (1 point) A Three-fourths of the world population occupies half of the planet's surface because of the abundance of hospitable land. B Three-fourths of the world population occupies 5 percent of the planet's surface due to water and less hospitable land. C Three-fourths of the world population now occupies half of the planet's surface due to diminishing polar areas as a result of global warming. D Half of the world population occupies 5 percent of the planet's surface due to more advanced forms of transportation. A teenagers heart pumps an average of 7200 L of blood every 24 hours. What is the rate of change of volume of blood? Which excerpt from "The Most Dangerous Game" is an example of foreshadowing?"Can't see it," remarked Rainsford, trying to peer through the dank tropical night that was palpable as it pressed its thick warm blackness in upon the yacht.Who cares how a jaguar feels? The world is made up of two classes--the hunters and the huntees. Luckily, you and I are hunters.I hope the jaguar guns have come from Purdey's. We should have some good hunting up the Amazon.I've seen you pick off a moose moving in the brown fall bush at four hundred yards, but even you can't see four miles or so through a moonless Caribbean night." in 1-2 complete sentences define "opportunity cost " in your own words The product of a number -7 is 63. 4.02>4.1 TRUE OR FALSE I need help ASAP please Which sentence is best structured to present two ideas of equal importance?A. Since NASA was founded, it has sent more than 250 astronautsinto space.B. The mission of NASA is to explore outer space.C. Some people think that NASA should focus on exploring theuniverse, but others believe that building a colony on the moon isthe most important goal, even though it will be difficult.D. NASA is known for sending humans to the moon, but the famousspace program has also sent an unmanned spaceship to Mars.