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2 years ago

Find the value of x then tell whether the side lengths form a Pythagorean triple 6 , 10 , x

Mathematics

2 answers:

schepotkina [342]2 years ago

8 0

Answer:

Step-by-step explanation:

a^2+b^2=c^2

6^2+10^2=x^2

36+100=x^2

136=x^2

$\sqrt{136$ =x

2 $\sqrt{34$ =x

masya89 [10]2 years ago

3 0

Answer:

Explanation:

Use the Pythagorean theorem (

)

Lets label the right triangle such that:

Thus,

144

256

400

√

400

So our missing side,

We can now say that the sides of our triangle are

I've included a link that lists a couple of Pythagorean triples (a couple because they are infinitely many).

Step-by-step explanation:

Hope it helpful

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Two paper drink cups are shaped like cones. The small cone can hold 6 oz of water. The large cone is 4/3 the height and 4/3 the

dolphi86 [110]

The answer you’re looking for is c 4.5 oz

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2 years ago

Need help asap pls!!!

lisabon 2012 [21]

Answer:

Step-by-step explanation:

According to the given description, PS is the mid segment of the $\triangle TQR$

Therefore by Mid-segment Theorem:

$PS = \frac{1}{2} QR \\ \\ PS = \frac{1}{2} \times 32 \\ \\ PS =16 \:$

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2 years ago

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andreyandreev [35.5K]

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3 years ago

A triangle is dilated by a scale factor of 1/5 and then rotated 90 degree clockwise about the origin. Why is the image similar t

yan [13]

Answers:
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle

Explanation:
For shapes to be similar:
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape

Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes

Let's check the choices:
1- The corresponding sides of the triangles are congruent:
This option is incorrect as dilation changes the lengths of the sides

2- The corresponding angles of the triangles are congruent:
This option is correct as neither dilation nor rotation alters the measures of the angles

3- The corresponding sides of the image are 5 times as long as those of the pre-image:
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image

4- The image is a reduction of the pre-image:
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced

5- Neither the dilation nor the rotation change the shape of the triangle:
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)

6- The rotation reduces the size of the triangle:
This option is incorrect as rotation does not alter the size of the shape. It only changes its position

Hope this helps :)

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3 years ago

Read 2 more answers

Evaluate the expression 18 - 7 x 2 + 6

blsea [12.9K]

Answer:

The answer is 10.

Step-by-step explanation:

7*2=14

Then the expression becomes 18-14+6

18-14=4

4+6=10

6 0

3 years ago