Point o is the center of the circle. what is the value of x?
a.) 57
b.) 66
c.) 26
d.) 114

B.) 66

arc PN is 114 degrees bc it’s congruent to the central angle. therefore, the rest of the circle is 246 degrees bc 360-114=246. divide the difference of intercepted arcs (246 and 114) by 2 to get the angle formed by the tangents. (246-114)/2=66

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following