The quastion is asking us to determine the measure of angle M in a right triangle LMN. We know that angle N is a right angle and that LM = 76 ( Hypotenuse ) and MN = 40 ( Adjacent ). We will use trigonometry: cos M = Adjacent / Hypotenuse = 40 / 76 = 0.5263158; M = cos^(-1) 0.563158; M = 58.242° = 58° 15`. Answer: The measure of angle M is<span> 58°15`.</span>
Answer:according to the formula of inscribed angle theorem
The answer is 15 degrees
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X^2-14x+49=0
Factor
(x-7)(x-7)
Check
-7-7=-14
-7*-7=49
Use ZPP
x-7=0
x=7
Final answer: x=7
