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Sever21 [200]
3 years ago
14

Determine whether the given lengths can be sides of a right triangle. Which of the following are true statements. A.The lengths

7, 40 and 41 can not be sides of a right triangle. B.The lengths 12, 16, and 20 can not be sides of a right triangle. C.The lengths 7, 40 and 41 can not be sides of a right triangle.D.The lengths 12, 16, and 20 can be sides of a right triangle. The lengths 7, 40 and 41 can be sides of a right triangle.
Mathematics
1 answer:
Stels [109]3 years ago
7 0

Answer:

Given sides 12, 16 and 20 can be the sides of right triangle.

Step-by-step explanation:

Sides of right triangle always follow the Pythagoras theorem.

i.e (base)^2 + (Height)^2 = (Hypotenuse)^2

For the given Lengths 7, 40 and 41

We need to check if

7^2 + 40^2 =41^2 \\or\\ 7^2 + 40^2 \neq41^2

Since \\7^2 + 40^2 = 1649\\and \\41^2 = 1681

That means, \\ 7^2 + 40^2 \neq 41^2

hence 7,40 and 41 can not be the sides of right triangle.

Next,

Given sides 12,16 and 20.

Again follow the similar process used in the above problem.

12^2 + 16^2 =400\\And \\20^2 = 400\\Since 12^2 + 16^2 = 20^2

Therefore given sides 12,16 and 20 can be the sides of right triangle.


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Audrey has the following T-shirts in her drawer. She will randomly choose one T-shirt then she will replace it and choose a seco
dalvyx [7]

Answer:

2/45

Step-by-step explanation:

First chooses a polka dot shirt: 2 / (5+6+2+2) = 2/15

Then a striped shirt, after replace: 5/15 = 1/3

the probability that she chooses a polka dot shirt then a striped shirt:

2/15 x 1/3 = 2/45

4 0
3 years ago
The questions are in the images pls answer all or your answer will be deleted because this is for a lot of points and im losing
PilotLPTM [1.2K]

1)

x + 2y = 21

+ -x + 3y = 29

--------------------------

5y = 50

y = 10

x + 2(10) =21

x = 1

2)

6x + 6y = 30

+ 15x - 6y = 12

-------------------------------

21x = 42

x = 2

6(2) + 6y = 30

6y = 18

y = 3

7 0
3 years ago
Which step in the construction of copying a line segment ensures that the new line segment has the same length as the original l
anzhelika [568]

Answer:

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

Step-by-step explanation:

Here are the steps I think you probably will go through.

1. Draw a line that is longer than the segment but shorter than the width of the page.

1a. Make sure this line is  at least 1/2 inch from the left hand side.  

2. Use a compass to measure the length of the original segment. Never use a ruler. Rulers do not exist in pure geometry.

3. Measure out the distance on the line you just drew with the compass. One end is on the left hand edge and the other end (the pencil end) is marking the segment so it is the same length as the compass. You are done.

The key step either two or three.The steps to copy a line segment are given below:

1. Lets start with a line segment AB that we have to copy.

2. Now mark a point C. below or above AB, that will be one endpoint of the new line segment.

3. Now, put the compass tip on point A of the line segment AB.

4. Spread the compass up to point B, so as the compass width is equal to length of AB.

5. Without changing the compass width, now place the compass tip on the point C that you made in step 2.

6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.

7. Draw a line from C to D.

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

7 0
2 years ago
-5x+35=40<br><br>what are the steps?​
Svetlanka [38]

Answer:

Step-by-step explanation:

-5x + 35 = 40

Subract 35 from both sides -5x + 35 - 35 = 40 - 35  = (-5x = 5)

Divide -5 from both sides -5x / -5 = 5 / -5 =

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7 0
2 years ago
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sveta [45]

Answer:

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Step-by-step explanation:

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