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Talja [164]
3 years ago
7

Select the postulate that is illustrated for the real numbers.

Mathematics
1 answer:
Advocard [28]3 years ago
6 0

Answer:

The correct answer is distributive postulate.

Step-by-step explanation:

Look at the expression we have given:

3x + 3 = 3(x + 1)

And we are asked that which postulate is illustrated for the real numbers.

We know that the distributive property of multiplication states that we can multiply a sum of numbers by multiplying each addend separately and finally add the products.

a*(b+c)= a*b+a*c

where a,b and c are real numbers.

3(x+1)= 3*x+3*1 = 3x+3

Therefore the correct option is distributive postulate....

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3 years ago
Find the measure of the exterior angle.
PtichkaEL [24]

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

38 + 90 + 180 - x = 180

38 + 90 + 180 - 180 - x = 0

38 + 90 + 180 - 180 = x

128 = x

<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

126 = x

<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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3 years ago
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