In the diagram below, de and ef are tangents to o. which equation could be solved to find y, the measure of dgf?

C) 1/2(y-127) = 53

Step-by-step explanation:

When an angle is formed by two secants, a secant and a tangent, or two tangents, the measure of the angle is equal to one-half of the difference between the intercepted arcs.

In this circle, our intercepted arcs are y° and 127°.  Their difference would be (y-127).  One-half of this would be 1/2(y-127).  The angle measure is 53; this gives us

1/2(y-127) = 53

1/5^2 = 7.56/45

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.