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Mariulka [41]
3 years ago
7

Missing measurements in each triangle

Mathematics
2 answers:
Flauer [41]3 years ago
5 0

Answer:

50

Step-by-step explanation:

107+23= 130

180-130= 50

You're welcome :P

mr_godi [17]3 years ago
3 0
50 because 107+23=130
180-130=50
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so to solve we have to use  "co-terminal " angles .. do you know what I'm saying?  do you understand the words coming out of my mouth :DDDDD OKay back to math and not movie lines .. :P

x = arcCos(  √ 2  / 2 )

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now find the "co terminal" angle that is on 45 ° but in the correct quadrant... since the  -√ 2   is negative.. we now that we go down the y axis.. but also positive on the x axis.. soooo.. that put the angle in the 4th quadrant... so this is an angle of 315° if we go in the CCW  ( counter clock wise )  direction but it's also -45°  in the CW  (clock wise )  direction

below is the table to remember the trig special angles

notice how it's  1,2,3,4    .. so it's super easy to remember.. the trig books don't show you this "trick"   :P

copy and paste this to your computer some where handy

Sin(0) = 0/2      =0  

Sin(30)= \sqrt{1}/2   = 1/2  

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Cos is exactly the same but counts backwards from 90°

Cos(90) = 0/2       = 0

Cos(60) = \sqrt{1} /2   = 1/2

Cos(45) = \sqrt{2}/2    =\sqrt{2}/2

Cos(30) = \sqrt{3}/2   =\sqrt{3}/2

Cos(0) = \sqrt{4}/2    = 1

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