Answer:
<h2>E. 22</h2>
Step-by-step explanation:
<em>Look at the picture</em>.
The lines <em>l</em> and <em>m</em> are parallel, therefore alternate interior angles are congruent.
Therefore 
Supplementary angles add up to 180°.
Therefore
<em>add 16 to both sides</em>
<em>subtract 5x from both sides</em>
We know: the sum of the triangle angle measures is 180°.
Therefore we have the equation:
The trigonometric Identities Cos 30° cos 45° - sin 30° sin 45° when simplified gives; ((√3) - 1)/2√2
<h3>How to solve Trigonometric Identities?</h3>
We want to solve the trigonometric Identity;
Cos 30° cos 45° - sin 30° sin 45°
We know that the trigonometric values of these in surd form are;
Cos 30° = (√3)/2
cos 45° = 1/√2
sin 30° = 1/2
sin 45 = 1/√2
Thus;
Cos 30° cos 45° - sin 30° sin 45° = ((√3)/2 * 1/√2) - (1/2 * 1/√2)
= ((√3)/2√2) - (1/2√2)
= ((√3) - 1)/2√2
Read more about Trigonometric Identities at; brainly.com/question/7331447
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Answer:
4sqrt(3) = 6.928
Step-by-step explanation:
Ratio of the lengths of the sides of a 36-60-90 triangle:
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
The short leg is sqrt(3) times shorter than the long leg.
The hypotenuse is twice the short leg.
long leg = 6
short leg = 6/sqrt(3)
hypotenuse = 12/sqrt(3)
12/sqrt(3) * sqrt(3)/sqrt(3) = 12sqrt(3)/3 = 4sqrt(3)
