Answer:
x = 58
Step-by-step explanation:
Angle Formed by Two Secants
= 1/2(difference of Intercepted Arcs)
51 =1/2 (160-x)
Multiply each side by 2
102 = 160-x
Subtract 160 from each side
102-160 = -x
-58 = -x
Multiply by -1
58 =x
To find the common ratio in a geometric sequence, u divide the second term by the first term. 20/80 = 1/4 <== common ratio
Terms are found in a geometric sequence by multiplying each number by the common ratio to get to the next number.
start with 80
80 * 1/4 = 80/4 = 20
20 * 1/4 = 20/4 = 5
5 * 1/4 = 5/4
5/4 * 1/4 = 5/16 <===
5/16 * 1/4 = 5/64 <===
5/64 * 1/4 = 5/256 <===
The radius of circle is 3.5 only
