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GalinKa [24]
3 years ago
13

Brainers, please help me out. Thanks

Mathematics
1 answer:
quester [9]3 years ago
6 0

The Pythagorean Theorem is a^2 + b^2 = c^2 where a and b are the sides and c is the hypotenuse.

From the picture you have a = 10 and c = 15.

Now you have:

10^2 + b^2 = 15^2

Simplify:

100 + b^2 = 225

Subtract 100 from both sides:

b^2 = 125

Take the square root of both sides:

b = √125

b = 11.2

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Find the measure of the exterior angle.
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Answer:

1) 128°

2) 126°

3) 108°

<h2>Question one:</h2>

   The square in the corner means 90°. If you add the interior angles of any triangle together, you get 180. in this case, x is in exterior angle, so you subtract it from 180 to get the interior angle.  

38 + 90 + (180-x) = 180

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38 + 90 + 180 - 180 = x

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<h2>Question two:</h2><h2></h2>

again, adding all the interior angles makes 180°. use this to make the equation.

3x + (5x-6) + 90 = 180

3x + 5x - 6 = 90

8x = 96

x = 12.

   x isn't the answer the question wants, however. if you look at the drawing, the angle that's supplementary to 5x-6 is the exterior angle. so,

180 - (5x-6) = the answer

180 - 5x + 6 = the answer

substitute x for 12

180 - 60 + 6 = the answer

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<h2>Question three</h2>

again, adding all the interior angles together makes 180°.

(a + 10) + 44 + (180-2a) = 180

a + 10 + 44 + 180 - 2a = 180

-a + 234 = 180

234 - 180 = a

54 = a

however, the question is looking for the exterior angle, not a. in this case, the exterior angle is 2a, so just multiply 54 by 2.

x = 108

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Step-by-step explanation:

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