Are the following expressions equivalent? Why or why not? 6(2x + 4) and 12x + 24
1 answer:
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Answer:
The value of x is 30°
Step-by-step explanation:
We are given that the outer angle of the parallelogram is 60 degrees. Therefore it's respective inner angle will be 180 - 60 = 120 degrees. And, by properties of a parallelogram, the angle opposite to this angle will be 120 degrees as well.
If we draw extend the line creating angle 2x, then we will make ( 1 ) a vertical angle to 2x, ( 2 ) a 90 degree angle, and ( 3 ) and angle that we can let be y. Therefore, 2x + y = 90, and 3x + y = 120.
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Solution : x = 30°
The pythagorean theorem has to do with right angled triangles -> 
+ 
= 
, where c is the hypotenuse length (the longest side, not touching the right angle) and a & b are the other sides that do touch the right angle, the legs.