96.8k views
4 votes
B
15. x =
106
(10x -23)
D

B 15. x = 106 (10x -23) D-example-1
User Tim Fuchs
by
4.4k points

1 Answer

4 votes

9514 1404 393

Answer:

x = 15

Explanation:

Chords equidistant from the circle center subtend the same arc measure. The sum of the three arcs of the circle is 360°, so you can write the relation ...

2(10x -23)° +106° = 360°

2(10x -23) = 254 . . . . . . . . divide by °, subtract 106

10x -23 = 127 . . . . . . . . . divide by 2

10x = 150 . . . . . . . . . . add 23

x = 15 . . . . . . . . . . . divide by 10

User Ddango
by
4.4k points