Study the diagram of circle G, where two chords, EF¯¯¯¯¯¯¯¯ and WV¯¯¯¯¯¯¯¯¯, are congruent. Segment JK is a diameter of circle G and intersects EF¯¯¯¯¯¯¯¯ at a right angle at point P.
JK¯¯¯¯¯¯¯¯ intersects WV¯¯¯¯¯¯¯¯¯ at a right angle at point O.

Circle G as described in the problem. Angle F P G and angle V O K are marked as right angles.

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If PG=x−4 and GO=12x+3, what is the length of PG¯¯¯¯¯¯¯¯?

−1

14

10

7

180

step-by-step explanation:

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

the answer is c: divide the arc's degree measure by 360°, then multiply by the circumference of the circle.