44
The pattern is +1,+1,x2
        
             
        
        
        
Answer:
x = 6
Step-by-step explanation:
use alternate angles
 
        
             
        
        
        
For the answer to the question above asking to p<span>rove the Pythagorean Theorem using similar triangles. The Pythagorean Theorem states that in a right triangle, 
</span>A right triangle consists of two sides called the legs and one side called the hypotenuse (c²) . The hypotenuse (c²)<span> is the longest side and is opposite the right angle.
</span>⇒ α² + β² = c² 
<span>
"</span>In any right triangle ( 90° angle) <span>, the sum of the squared lengths of the two legs is equal to the squared length of the hypotenuse."
</span>
For example:  Find the length of the hypotenuse of a right triangle if the lengths of the other two sides are 3 inches and 4 inches.  
c2 = a2+ b2
c2  = 32+ 42
c2 = 9+16
c2 = 15
c = sqrt25
c=5
        
             
        
        
        
For example, the additive inverse of 12 is –12. The additive inverse of –3 is 3. Formally, the additive inverse of x is –x. Note: The sum of a number and its additive inverse is 0.
        
             
        
        
        
Answer:
x = 4
Step-by-step explanation:
Using the sine ratio on right triangle KJL
and the exact value sin30° = 
sin30° =  =
 =  =
 =  =
 =  ( cross- multiply )
 ( cross- multiply )
2JL = 8 ( divide both sides by 2 )
 ( divide both sides by 2 )
JL = 4
---------------------------------------------------------
Using the sine ratio in right triangle JLM
and the exact value sin45° = 
sin45° =  =
 =  =
 =  =
 =  ( cross- multiply )
 ( cross- multiply )
x ×  = 4
 = 4 ( divide both sides by
 ( divide both sides by 
x = 4