In the diagram, UV is tangent to T at U, VW is tangent to T at W, UV=146, and VW= 9x+29

C) x = 13

Step-by-step explanation:

Set the two lines equal to each other

146 = 9x + 29

- 29         - 29

117 = 9x

13 = x

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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.