Is it possible to partition an arbitrary right triangle into isosceles triangles? Justify your answer.
please answer asap :)

Answers

Answer 1

Answer:

yes

Step-by-step explanation:

Answer 2

An arbitrary right triangle can be partitioned into isosceles triangle by drawing a median from the right angle to the hypotenuse.

What is Right Angled Triangle?

Right angled triangle are those triangle for which one of the angle is 90 degrees.

Let's take a right angled triangle ΔABC.

Let C be the right angle in this triangle.

Then AB will be the longest side of the triangle, which is the hypotenuse.

Median of a triangle is the line segment joining the vertex to the midpoint  of the opposite side of the triangle.

Suppose we draw a median from C to the midpoint of AB intersecting AB at a point P.

Then there are two triangles formed ΔAPC and ΔBPC.

AP = BP since P is the midpoint of AB.

PC = PC is the common side for both triangles.

So ΔAPC and ΔBPC are isosceles triangles, because two sides are equal.

Hence any right triangle can be partitioned into two isosceles triangles this way.

Learn more about Right Angled Triangles here :

https://brainly.com/question/3772264

#SPJ2


Related Questions

Ed and Suzie went out to eat at Pizzeria. The dinner check was ​$24.00. They left a tip of ​$4.32. What percent of the check was the​ tip?

Answers

Answer:

18%

Step-by-step explanation:

24-18% is 19.68 which means it took away $4.32.

A figure is made up of four congruent right triangles and a square as displayed.

What is the area, in square inches, of the figure?

Answers

Answer:

It would be 33² in.

Carrie has $500 in her bank account. She plans to add $245 a week to her account. Jose has $710 in his bank account. He plans to add $230 a week. How many weeks will it take untill carrie & jose have an equal ammount of money saved up is neither of them spent any of their savings?

Answers

Answer:

14 weeks

Step-by-step explanation:

14 times 245= 3430+ 500=3930 (carrie)

14 times 230= 3220+ 710= 3930 (jose)

Colin invests £1200 into his bank account.
He receives 5% per year simple interest.
How much will Colin have after 3 years?
Give your answer to the nearest penny where appropriate.

Answers

Gshhebehbebe hebebeb bebebeb benenne hwbebeb hebebvecehalonw wine wow. Nennen

ou are at the county fair and play a game that involves throwing a baseball at target. You get 3 baseballs, and you win a prize for each target you hit. Your chance of hitting a target with a baseball is 0.74. Assuming each throw is independent of all the others, what is the probability you win at least 1 prize

Answers

Answer:

0.98

Step-by-step explanation:

Prob (Ball target & prize ) = 0.74

Prob (Ball no target & no prize) = 1 - 0.74 = 0.26

Three Balls : Prob (atleast 1 prize) = 1 - Prob (No ball target & no price)

= 1 - (0.26)^3

= 1 - 0.017576

= 0.982424

Neeed help like NEOW

Answers

Answer:

_17 or -10 i think its -10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ha

AC Sports also manufactures tennis balls. It sells these in sets of three. The tennis
ball container is cylindrical with a radius of 3 inches and a height of 8.5 inches. The
marketing department is planning to create a new label to wrap around the container
and hopefully increase sales. Approximately how much space is there for a label that
wraps around the container?

Answers

Answer:

about 216.77 inches of space

Step-by-step explanation:

2πrh+2πr²

2π(3)(8.5)+2π(3)²

2π25.5+2π9

51π+18π

216.769893

about 216.77 inches of space

what is 16+48 in distributive property??

Answers

Answer:

un-distribute the GCF of the two numbers.

16(1 + 3)

Distributing we get:

16(1) + 16(3)

16 + 48

Step-by-step explanation:

:)

To win at Lotto in a certain state, one must correctly select 6 numbers from a Corbin of 52 numbers (one through 52). The order in which the selecting is made does not matter. How many different selections are possible?

Answers

Answer:

the answer is ... look down below

Step-by-step explanation:

52 divided by 6 equals 8.66

I mark as brainliest ​

Answers

Answer:

The answer is D

Step-by-step explanation:

you might get confused with A but its D because D is separating 4 + 3 from 3 wich we are multiplying  and A is not. so the answer is D

what are the slopes of the two lines?
green has two yellow dots.

Answers

Answer:

-7(1/7) = -1

Step-by-step explanation:

(6-x3)5=45 Please help

Answers

the answer is x equals -1

m. 2.7(2x + 3) –4.6 n. 2 3 (12 + 15z) – 4 1 2 z o. 9 10 + 1 4 ( 2 3 v+ 2 5 )–1

Answers

Answer:

go on

Step-by-step explanation:

math,way, ., com

the school library had a used book sale. paperbacks were $2 each and hardcover books were $3 each. there were 54 paperbacks and 163 hardcover books sold.

Please help me, I have no idea how to do this we need to use BEDMAS to solve this. Can anyone help?

Answers

Answer:

Total money made is $597, $489 from hardbacks and $108 from paperbacks.

Step-by-step explanation:

$3 x 163= $489

$2 x 54= $108

total $= 3(163)+2(54)

total $= 489 + 108

total $ = 597

division 6=7??????????

Answers

The answer is 42 :) pls mark Brainliest <3
The answer is 42. To get there you just multiply the 6 by the 7:) Hope that helps!

Please answer quickly I really need this answer

Answers

D - 10

hope this helps :)

Answer:

The answer is 10

Help APSPP!!!!!!!!!!

Answers

Answer:

c is the answer young flyyy

Step-by-step explanation:

Answer:

hhaaaaaaaaaaaahhhhhhhhaaaaaaaaaaaaaaas

Step-by-step explanation:

The R.D. Wilson Company makes a soft drink dispensing machine that allows customers to get soft drinks from the machine in a cup with ice. When the machine is running properly, the average number of fluid ounces in the cup should be 14. Periodically the machines need to be tested to make sure that they have not gone out of adjustment. To do this, six cups are filled by the machine and a technician carefully measures the volume in each cup. In one such test, the following data were observed:_______.
14.25 13.7 14.02
14.13 13.99 14.0
Based on these sample data,which of the following is true if the significance level is .05?
A) No conclusion can be reached about the status of the machine based on a sample size of only six cups.
B) The null hypothesis cannot be rejected since the test statistic is approximately t = .29,which is not in the rejection region.
C) The null hypothesis can be rejected since the sample mean is greater than 14.
D) The null can be rejected because the majority of the sample values exceed 14.

Answers

Answer:

The null hypothesis cannot be rejected since the test statistic is approximately t = .20,which is not in the rejection region.

Step-by-step explanation:

Data: 14.25, 13.7, 14.02,  14.13, 13.99, 14.0

Mean = [tex]\frac{Sum}{n}=14.015[/tex]

Standard deviation =[tex]\sqrt{\frac{\sum(x-\bar{x})^2}{n}}=0.1836[/tex]

Claim : Average number of fluid ounces in the cup should be 14.

Null hypothesis : [tex]H_0:\mu = 14[/tex]

Alternate hypothesis :[tex]H_a:\mu \neq 14[/tex]

n = 6

[tex]t = \frac{x-\mu}{\frac{s}{\sqrt{n}}}\\t=\frac{14.015-14}{\frac{0.1836}{\sqrt{6}}}\\t=0.20\\\alpha = 0.05t_{df,\alpha}=t_{(5,0.05)}=2.571[/tex]

t critical > t calculated

So, we failed to reject null hypothesis

So, Option B is true

Hence The null hypothesis cannot be rejected since the test statistic is approximately t = .20,which is not in the rejection region.

What are the coordinates of the point (2, −3) after a counterclockwise rotation of 90° about the origin?

Answers

Answer:

-2,-3

Step-by-step explanation:

find the slope (5,4) (5,9)

Answers

Answer:

undefined

Step-by-step explanation:

To find the slope between two points, we can use the slope formula. The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where m is the slope and (x₁, y₁) and (x₂, y₂) are two points.

By plugging in (5, 4) and (5, 9) for (x₁, y₁) and (x₂, y₂) respectively, we get:

[tex]m=\frac{9-4}{5-5}=\frac{5}{0}[/tex]

Note, we cannot divide by zero. By using the slope formula, we get that the slope is undefined.

I hope this helps. Happy studying.

Given 36 − 9, simplify the expression using the Difference of Squares.

Wait, wait. I know what you are saying. 36 − 9 is not exactly a difficult math problem, it is 27. Yes you are correct; however, 36 − 9 is going to serve as a proof that the Difference of Squares is valid regardless of what x and y are.

36 − 9

62 − 32

This looks exactly like the Difference of Squares, x2 − y2. So substitute 6 and 3 in for x and y.

Answers

Answer:

See below

Step-by-step explanation:

Using formula

x^2 - y^2 = (x + y)(x - y)

Applying to given expression

36 - 9 = 6^2 - 3^2=(6 + 3)(6 - 3)=9*3=27

Write a math expression for total number of sticks in one pack of red sticks and one pack of blue sticks. There’s 8 red in a pack and 12 blue in a pack.

Answers

Answer:

8:12

Step-by-step explanation:

It's a ratio!

How many red is there? 8!

How many blue is there? 12!

So red to blue is 8:12!

Answer: The total number of sticks in one pack of red and one pack of blue is (8 + 12).

Step-by-step explanation: it is the answer edmentum gave me

Help!!!
Lines b and c are parallel.
What is the measure of 26?

Answers

Answer:

m∠6 = 54°

Step-by-step explanation:

∠6 is equal to (5x + 9) because they are vertical angles. But, to be able to find the measure of ∠6, you will need to find the value of (5x + 9). So, since ∠5 is equal to (13x + 9) because they are Corresponding Angles, (5x + 9) and (13x + 9) are supplementary because they are a linear pair.

So:

m6 = 5x + 9 and

5x + 9 + 13x + 9 = 180°

18x + 18 = 180

18x = 162

x = 9

To find m∠6, plug in values:

m6 = 5x + 9

         = 5(9) + 9

         = 45 + 9

         = 54°

Please look at the pic and help it got marked wrong

Answers

Answer:

although it is true that could be -(1/4)^4

if you multiply the answer can also be -1/256

Heya!!

your answer is!

-1/256

Kevin's wife sends him to the store to buy pickles and ice cream. Ice cream cost 5 dollars per pound and pickles costs 8 dollars per pound. Kevin has 80 dollars in his wallet. Let x be the number of pounds of ice cream and y be the number of pounds of pickles that Kevin purchases. State the inequality that represents his budget, and graph the solution that represents the possible combinations of x and y . Express your answer with the standard form a x + b y on the left side. The budget inequality is _____________________

Answers

Answer:

5x+8y≤80

Step-by-step explanation:

trust me ;)

Answer:

5x+8y< 80

Step-by-step explanation:

The total amount should be less than 80 or equal to

The bowling lanes charge an hourly fee for bowling and $2 to rent shoes for the day. Gerry rented shoes and bowled for 2 hours and was charged $12
Which equation represents the cost, f(x), of bowling as a function of x, the number of hours of bowling?
O f(x) = 4x + 3
Of(x) = 2x + 2
Of(x) = 5x - 2
Of(x) = 5x + 2

Answers

Answer:

d) f(x) = 5x + 2

Step-by-step explanation:

First we need to identify the variables and how they fit into the equation. in this case we know that the equation is f(x) = mx + b where f(x) is the total cost, m is the hourly cost, x is the number of hours bowled, and b is the price of the shoes.

Now, we need to solve for the hourly cost, so to do this we plug in all the known information to get 12 = m(2) + 2

To solve we need to isolate the variable by first subtracting 2 on both sides to get 10 = m(2) and then dividing both sides by 2 to get 5 = m.

Finally, since we now know that the hourly cost is $5 we can plug this information back into the equation to get f(x) = 5x + 2

Find the value of ×
[tex]3x + 2(x - 4) = 14[/tex]

Answers

Answer:

x = 22/5

Step-by-step explanation:

3x+2(x-4) = 14

Distribute

3x+2x -8 = 14

5x - 8 = 14

Add 8 to each side

5x-8+8 = 14+8

5x = 22

Divide by 5

5x/5 = 22/5

x = 22/5

As you can see, he uses one square for Stage 1, three squares for Stage 2 and six for Stage 3.

How many squares should he use for the sixth stage?​

Answers

Answer:

21 squares

Step-by-step explanation:

1 = 1

2 = 3

3 = 6

The pattern follows squares use in the previous stage + new stage = squares use the new stage

Squares used in stage 2 = Squares used in stage 1 + stage 2

= 1 + 2

= 3 squares

Squares used in stage 3 = Squares used in stage 2 + stage 3

= 3 + 3

= 6 squares

Squares used in stage 4 = Squares used in stage 3 + stage 4

= 6 + 4

= 10 squares

Squares used in stage 5 = Squares used in stage 4 + stage 5

= 10 + 5

= 15 squares

Squares used in stage 6 = Squares used in stage 5 + stage 6

= 15 + 6

= 21 squares

4 = 10

5 = 15

6 = 21

What is 6√2⋅√11−2√22 expressed in simplified form?

Answers

Hope this help you!!! :))

Does this table represent a function? Why or why not?
X
у
2.
1
3
4.
4
4
5
2
5
5

Answers

The answer would be A because 5 goes to two y-values, instead of just one.
THE ANSWER IS A........
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