Check the picture below.
as you recall from the previous exercise, x = 74°, now, using the "inscribed angle theorem" as you saw already, the green intercepted arc is 160°, so y = 160° - 74°.
as far as ∡z, well, we can just use the "inscribed quadrilateral conjecture".
If B is the midpoint of AC, that means that the distances from A to B and B to C are the same. The distance from A to B is 8x + 4, and the distance from B to C is 10x - 6, so we can set these two equivalent:
8x + 4 = 10x - 6
Solving for x:
4 = 2x - 6 (subtract 8x from both sides)
10 = 2x (add 6 to both sides)
5 = x (divide both sides by 2)
So, x = 5, which is the second option given.
Answer:
1
Explanation:
According to the Unit Circle, sin π\6 is ½, so we plug this into the cosine function to get this:
cos π\6 - π\6 → cos 0 >> 1
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** I do not have Unit Circle video uploaded yet, but if I need to, just notify me in the comments or on of course, You-Tube.
*** Plus, we need to make sure that the x-value falls in between 0 and π\2, which it did, so no need to worry.
The method of successive differences uses subtraction to the one number to the next and the process goes on until the difference settles constant which is not equal to zero. In this case, the constant difference reaches 25. Reversing the process to get the next term, the answer is 2509.
Answer:
hmmm 38
Step-by-step explanation:
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