Question

Find the measure of the indicated line segment

Answer 1

@vocaloid i need help again

Answer 2

when you have two lines that go through a circle and intersect at a single point together it follows this pattern (see attachment)

applying this logic to your problem

4(4+2) = 3(2x + 5 + 3)

solve for x

once you have x, it's asking for the length of KM, so KM = 2x + 5 + 3, so plug in your x value and calculate this

Answer 3

is it possible to get a zero?

Answer 4

when solving for x?

Answer 5

yes

x = 0 in this case

(attaching this because I forgot earlier)

Answer 6

so the answer to the question would be 8?

Answer 7

yes

Answer 8

ok can you help me with 3 more questions?

Answer 9

ok

Answer 10

these are the 3 questions

Answer 11

11) notice how CF is the diameter of the circle, so arc CF = 180 degrees

if you take away that 25 degree angle you get arc DEF

so DEF is simply 180 - 25

2) same logic, arc HL is half the circle, so arc HL is 180. take away that arc JH and you get JKL (180 - 72)

13) the shape inside the circle is a regular hexagon. the corners of the hexagon split the circle into 6 equal parts. 360/6 = 60 so each arc is 60 degrees. arc NGH is 4 out of the 6 arcs, so 4*60 = 240

Answer 12

so 11. would be 155. 12 would be 108 and 13 would be 240?

Answer 13

yes

Answer 14

ok thnxs

Answer 15

hey i got one more question can you help and its my very last question

Answer 16

find the value of the variables

Answer 17

the triangles intersect at the center of the circle which means these sides of the triangles are all equal to the radius



which means the triangles are isosceles triangles, which means these angles are equal

Answer 18

the two angles in the middle, that I've marked, are also equal due to these angles being vertical angles (two straight lines making two angles opposite each other)

which means x must also be 75 (both triangles are 75-75-30 triangles)

Answer 19

so y = 75 and x=75?

Answer 20

if these angles are 30, that means these two arcs are also 30

finally, the whole circle is made up four arcs (30 + 30 + y + y). a whole circle is equal to 360, so 30 + 30 + y + y = 360 and you can solve for y

Answer 21

would the two Y's substitute for 2y?

Answer 22

yes, you can write y + y as 2y

Answer 23

ok

Answer 24

so y=150?

Answer 25

yes

Answer 26

and x=75?

Answer 27

yes

Answer 28

ok thnk you very much you have been a very big help

Answer 29

thnk you very much